id sid tid token lemma pos cord-269711-tw5armh8 1 1 key key NN cord-269711-tw5armh8 1 2 : : : cord-269711-tw5armh8 2 1 cord-269711-tw5armh8 cord-269711-tw5armh8 NNP cord-269711-tw5armh8 2 2 authors author NNS cord-269711-tw5armh8 2 3 : : : cord-269711-tw5armh8 2 4 Ma Ma NNP cord-269711-tw5armh8 2 5 , , , cord-269711-tw5armh8 2 6 Junling Junling NNP cord-269711-tw5armh8 2 7 ; ; : cord-269711-tw5armh8 2 8 van van NNP cord-269711-tw5armh8 2 9 den den NNP cord-269711-tw5armh8 2 10 Driessche Driessche NNP cord-269711-tw5armh8 2 11 , , , cord-269711-tw5armh8 2 12 P. P. NNP cord-269711-tw5armh8 2 13 ; ; : cord-269711-tw5armh8 2 14 Willeboordse Willeboordse NNP cord-269711-tw5armh8 2 15 , , , cord-269711-tw5armh8 3 1 Frederick Frederick NNP cord-269711-tw5armh8 3 2 H. H. NNP cord-269711-tw5armh8 3 3 title title NN cord-269711-tw5armh8 3 4 : : : cord-269711-tw5armh8 4 1 The the DT cord-269711-tw5armh8 4 2 importance importance NN cord-269711-tw5armh8 4 3 of of IN cord-269711-tw5armh8 4 4 contact contact NN cord-269711-tw5armh8 4 5 network network NN cord-269711-tw5armh8 4 6 topology topology NN cord-269711-tw5armh8 4 7 for for IN cord-269711-tw5armh8 4 8 the the DT cord-269711-tw5armh8 4 9 success success NN cord-269711-tw5armh8 4 10 of of IN cord-269711-tw5armh8 4 11 vaccination vaccination NN cord-269711-tw5armh8 4 12 strategies strategy NNS cord-269711-tw5armh8 4 13 date date NN cord-269711-tw5armh8 4 14 : : : cord-269711-tw5armh8 4 15 2013 2013 CD cord-269711-tw5armh8 4 16 - - SYM cord-269711-tw5armh8 4 17 05 05 CD cord-269711-tw5armh8 4 18 - - SYM cord-269711-tw5armh8 4 19 21 21 CD cord-269711-tw5armh8 4 20 journal journal NN cord-269711-tw5armh8 4 21 : : : cord-269711-tw5armh8 4 22 Journal Journal NNP cord-269711-tw5armh8 4 23 of of IN cord-269711-tw5armh8 4 24 Theoretical Theoretical NNP cord-269711-tw5armh8 4 25 Biology Biology NNP cord-269711-tw5armh8 4 26 DOI doi NN cord-269711-tw5armh8 4 27 : : : cord-269711-tw5armh8 4 28 10.1016/ 10.1016/ CD cord-269711-tw5armh8 5 1 j.jtbi.2013.01.006 j.jtbi.2013.01.006 NNP cord-269711-tw5armh8 6 1 sha sha NNP cord-269711-tw5armh8 6 2 : : : cord-269711-tw5armh8 7 1 cfe4a7ac44f9c7fce218b3b428a4ecc40ebc0f8e cfe4a7ac44f9c7fce218b3b428a4ecc40ebc0f8e NFP cord-269711-tw5armh8 7 2 doc_id doc_id CD cord-269711-tw5armh8 8 1 : : : cord-269711-tw5armh8 8 2 269711 269711 CD cord-269711-tw5armh8 8 3 cord_uid cord_uid NNS cord-269711-tw5armh8 8 4 : : : cord-269711-tw5armh8 9 1 tw5armh8 tw5armh8 NNP cord-269711-tw5armh8 9 2 Abstract Abstract NNP cord-269711-tw5armh8 10 1 The the DT cord-269711-tw5armh8 10 2 effects effect NNS cord-269711-tw5armh8 10 3 of of IN cord-269711-tw5armh8 10 4 a a DT cord-269711-tw5armh8 10 5 number number NN cord-269711-tw5armh8 10 6 of of IN cord-269711-tw5armh8 10 7 vaccination vaccination NN cord-269711-tw5armh8 10 8 strategies strategy NNS cord-269711-tw5armh8 10 9 on on IN cord-269711-tw5armh8 10 10 the the DT cord-269711-tw5armh8 10 11 spread spread NN cord-269711-tw5armh8 10 12 of of IN cord-269711-tw5armh8 10 13 an an DT cord-269711-tw5armh8 10 14 SIR SIR NNP cord-269711-tw5armh8 10 15 type type NN cord-269711-tw5armh8 10 16 disease disease NN cord-269711-tw5armh8 10 17 are be VBP cord-269711-tw5armh8 10 18 numerically numerically RB cord-269711-tw5armh8 10 19 investigated investigate VBN cord-269711-tw5armh8 10 20 for for IN cord-269711-tw5armh8 10 21 several several JJ cord-269711-tw5armh8 10 22 common common JJ cord-269711-tw5armh8 10 23 network network NN cord-269711-tw5armh8 10 24 topologies topology NNS cord-269711-tw5armh8 10 25 including include VBG cord-269711-tw5armh8 10 26 random random JJ cord-269711-tw5armh8 10 27 , , , cord-269711-tw5armh8 10 28 scale scale NN cord-269711-tw5armh8 10 29 - - HYPH cord-269711-tw5armh8 10 30 free free JJ cord-269711-tw5armh8 10 31 , , , cord-269711-tw5armh8 10 32 small small JJ cord-269711-tw5armh8 10 33 world world NN cord-269711-tw5armh8 10 34 , , , cord-269711-tw5armh8 10 35 and and CC cord-269711-tw5armh8 10 36 meta meta JJ cord-269711-tw5armh8 10 37 - - HYPH cord-269711-tw5armh8 10 38 random random JJ cord-269711-tw5armh8 10 39 networks network NNS cord-269711-tw5armh8 10 40 . . . cord-269711-tw5armh8 11 1 These these DT cord-269711-tw5armh8 11 2 strategies strategy NNS cord-269711-tw5armh8 11 3 , , , cord-269711-tw5armh8 11 4 namely namely RB cord-269711-tw5armh8 11 5 , , , cord-269711-tw5armh8 11 6 prioritized prioritize VBN cord-269711-tw5armh8 11 7 , , , cord-269711-tw5armh8 11 8 random random JJ cord-269711-tw5armh8 11 9 , , , cord-269711-tw5armh8 11 10 follow follow VB cord-269711-tw5armh8 11 11 links link NNS cord-269711-tw5armh8 11 12 and and CC cord-269711-tw5armh8 11 13 contact contact NN cord-269711-tw5armh8 11 14 tracing tracing NN cord-269711-tw5armh8 11 15 , , , cord-269711-tw5armh8 11 16 are be VBP cord-269711-tw5armh8 11 17 compared compare VBN cord-269711-tw5armh8 11 18 across across IN cord-269711-tw5armh8 11 19 networks network NNS cord-269711-tw5armh8 11 20 using use VBG cord-269711-tw5armh8 11 21 extensive extensive JJ cord-269711-tw5armh8 11 22 simulations simulation NNS cord-269711-tw5armh8 11 23 with with IN cord-269711-tw5armh8 11 24 disease disease NN cord-269711-tw5armh8 11 25 parameters parameter NNS cord-269711-tw5armh8 11 26 relevant relevant JJ cord-269711-tw5armh8 11 27 for for IN cord-269711-tw5armh8 11 28 viruses virus NNS cord-269711-tw5armh8 11 29 such such JJ cord-269711-tw5armh8 11 30 as as IN cord-269711-tw5armh8 11 31 pandemic pandemic NN cord-269711-tw5armh8 11 32 influenza influenza NN cord-269711-tw5armh8 11 33 H1N1/09 H1N1/09 NNP cord-269711-tw5armh8 11 34 . . . cord-269711-tw5armh8 12 1 Two two CD cord-269711-tw5armh8 12 2 scenarios scenario NNS cord-269711-tw5armh8 12 3 for for IN cord-269711-tw5armh8 12 4 a a DT cord-269711-tw5armh8 12 5 network network NN cord-269711-tw5armh8 12 6 SIR SIR NNP cord-269711-tw5armh8 12 7 model model NN cord-269711-tw5armh8 12 8 are be VBP cord-269711-tw5armh8 12 9 considered consider VBN cord-269711-tw5armh8 12 10 . . . cord-269711-tw5armh8 13 1 First first RB cord-269711-tw5armh8 13 2 , , , cord-269711-tw5armh8 13 3 a a DT cord-269711-tw5armh8 13 4 model model NN cord-269711-tw5armh8 13 5 with with IN cord-269711-tw5armh8 13 6 a a DT cord-269711-tw5armh8 13 7 given give VBN cord-269711-tw5armh8 13 8 transmission transmission NN cord-269711-tw5armh8 13 9 rate rate NN cord-269711-tw5armh8 13 10 is be VBZ cord-269711-tw5armh8 13 11 studied study VBN cord-269711-tw5armh8 13 12 . . . cord-269711-tw5armh8 14 1 Second second RB cord-269711-tw5armh8 14 2 , , , cord-269711-tw5armh8 14 3 a a DT cord-269711-tw5armh8 14 4 model model NN cord-269711-tw5armh8 14 5 with with IN cord-269711-tw5armh8 14 6 a a DT cord-269711-tw5armh8 14 7 given give VBN cord-269711-tw5armh8 14 8 initial initial JJ cord-269711-tw5armh8 14 9 growth growth NN cord-269711-tw5armh8 14 10 rate rate NN cord-269711-tw5armh8 14 11 is be VBZ cord-269711-tw5armh8 14 12 considered consider VBN cord-269711-tw5armh8 14 13 , , , cord-269711-tw5armh8 14 14 because because IN cord-269711-tw5armh8 14 15 the the DT cord-269711-tw5armh8 14 16 initial initial JJ cord-269711-tw5armh8 14 17 growth growth NN cord-269711-tw5armh8 14 18 rate rate NN cord-269711-tw5armh8 14 19 is be VBZ cord-269711-tw5armh8 14 20 commonly commonly RB cord-269711-tw5armh8 14 21 used use VBN cord-269711-tw5armh8 14 22 to to TO cord-269711-tw5armh8 14 23 impute impute VB cord-269711-tw5armh8 14 24 the the DT cord-269711-tw5armh8 14 25 transmission transmission NN cord-269711-tw5armh8 14 26 rate rate NN cord-269711-tw5armh8 14 27 from from IN cord-269711-tw5armh8 14 28 incidence incidence NN cord-269711-tw5armh8 14 29 curves curve NNS cord-269711-tw5armh8 14 30 and and CC cord-269711-tw5armh8 14 31 to to TO cord-269711-tw5armh8 14 32 predict predict VB cord-269711-tw5armh8 14 33 the the DT cord-269711-tw5armh8 14 34 course course NN cord-269711-tw5armh8 14 35 of of IN cord-269711-tw5armh8 14 36 an an DT cord-269711-tw5armh8 14 37 epidemic epidemic NN cord-269711-tw5armh8 14 38 . . . cord-269711-tw5armh8 15 1 Since since IN cord-269711-tw5armh8 15 2 a a DT cord-269711-tw5armh8 15 3 vaccine vaccine NN cord-269711-tw5armh8 15 4 may may MD cord-269711-tw5armh8 15 5 not not RB cord-269711-tw5armh8 15 6 be be VB cord-269711-tw5armh8 15 7 readily readily RB cord-269711-tw5armh8 15 8 available available JJ cord-269711-tw5armh8 15 9 for for IN cord-269711-tw5armh8 15 10 a a DT cord-269711-tw5armh8 15 11 new new JJ cord-269711-tw5armh8 15 12 virus virus NN cord-269711-tw5armh8 15 13 , , , cord-269711-tw5armh8 15 14 the the DT cord-269711-tw5armh8 15 15 case case NN cord-269711-tw5armh8 15 16 of of IN cord-269711-tw5armh8 15 17 a a DT cord-269711-tw5armh8 15 18 delay delay NN cord-269711-tw5armh8 15 19 in in IN cord-269711-tw5armh8 15 20 the the DT cord-269711-tw5armh8 15 21 start start NN cord-269711-tw5armh8 15 22 of of IN cord-269711-tw5armh8 15 23 vaccination vaccination NN cord-269711-tw5armh8 15 24 is be VBZ cord-269711-tw5armh8 15 25 also also RB cord-269711-tw5armh8 15 26 considered consider VBN cord-269711-tw5armh8 15 27 in in IN cord-269711-tw5armh8 15 28 addition addition NN cord-269711-tw5armh8 15 29 to to IN cord-269711-tw5armh8 15 30 the the DT cord-269711-tw5armh8 15 31 case case NN cord-269711-tw5armh8 15 32 of of IN cord-269711-tw5armh8 15 33 no no DT cord-269711-tw5armh8 15 34 delay delay NN cord-269711-tw5armh8 15 35 . . . cord-269711-tw5armh8 16 1 It -PRON- PRP cord-269711-tw5armh8 16 2 is be VBZ cord-269711-tw5armh8 16 3 found find VBN cord-269711-tw5armh8 16 4 that that IN cord-269711-tw5armh8 16 5 network network NN cord-269711-tw5armh8 16 6 topology topology NN cord-269711-tw5armh8 16 7 can can MD cord-269711-tw5armh8 16 8 have have VB cord-269711-tw5armh8 16 9 a a DT cord-269711-tw5armh8 16 10 larger large JJR cord-269711-tw5armh8 16 11 impact impact NN cord-269711-tw5armh8 16 12 on on IN cord-269711-tw5armh8 16 13 the the DT cord-269711-tw5armh8 16 14 spread spread NN cord-269711-tw5armh8 16 15 of of IN cord-269711-tw5armh8 16 16 the the DT cord-269711-tw5armh8 16 17 disease disease NN cord-269711-tw5armh8 16 18 than than IN cord-269711-tw5armh8 16 19 the the DT cord-269711-tw5armh8 16 20 choice choice NN cord-269711-tw5armh8 16 21 of of IN cord-269711-tw5armh8 16 22 vaccination vaccination NN cord-269711-tw5armh8 16 23 strategy strategy NN cord-269711-tw5armh8 16 24 . . . cord-269711-tw5armh8 17 1 Simulations simulation NNS cord-269711-tw5armh8 17 2 also also RB cord-269711-tw5armh8 17 3 show show VBP cord-269711-tw5armh8 17 4 that that IN cord-269711-tw5armh8 17 5 the the DT cord-269711-tw5armh8 17 6 network network NN cord-269711-tw5armh8 17 7 structure structure NN cord-269711-tw5armh8 17 8 has have VBZ cord-269711-tw5armh8 17 9 a a DT cord-269711-tw5armh8 17 10 large large JJ cord-269711-tw5armh8 17 11 effect effect NN cord-269711-tw5armh8 17 12 on on IN cord-269711-tw5armh8 17 13 both both CC cord-269711-tw5armh8 17 14 the the DT cord-269711-tw5armh8 17 15 course course NN cord-269711-tw5armh8 17 16 of of IN cord-269711-tw5armh8 17 17 an an DT cord-269711-tw5armh8 17 18 epidemic epidemic NN cord-269711-tw5armh8 17 19 and and CC cord-269711-tw5armh8 17 20 the the DT cord-269711-tw5armh8 17 21 determination determination NN cord-269711-tw5armh8 17 22 of of IN cord-269711-tw5armh8 17 23 the the DT cord-269711-tw5armh8 17 24 transmission transmission NN cord-269711-tw5armh8 17 25 rate rate NN cord-269711-tw5armh8 17 26 from from IN cord-269711-tw5armh8 17 27 the the DT cord-269711-tw5armh8 17 28 initial initial JJ cord-269711-tw5armh8 17 29 growth growth NN cord-269711-tw5armh8 17 30 rate rate NN cord-269711-tw5armh8 17 31 . . . cord-269711-tw5armh8 18 1 The the DT cord-269711-tw5armh8 18 2 effect effect NN cord-269711-tw5armh8 18 3 of of IN cord-269711-tw5armh8 18 4 delay delay NN cord-269711-tw5armh8 18 5 in in IN cord-269711-tw5armh8 18 6 the the DT cord-269711-tw5armh8 18 7 vaccination vaccination NN cord-269711-tw5armh8 18 8 start start NN cord-269711-tw5armh8 18 9 time time NN cord-269711-tw5armh8 18 10 varies vary VBZ cord-269711-tw5armh8 18 11 tremendously tremendously RB cord-269711-tw5armh8 18 12 with with IN cord-269711-tw5armh8 18 13 network network NN cord-269711-tw5armh8 18 14 topology topology NN cord-269711-tw5armh8 18 15 . . . cord-269711-tw5armh8 19 1 Results result NNS cord-269711-tw5armh8 19 2 show show VBP cord-269711-tw5armh8 19 3 that that IN cord-269711-tw5armh8 19 4 , , , cord-269711-tw5armh8 19 5 without without IN cord-269711-tw5armh8 19 6 the the DT cord-269711-tw5armh8 19 7 knowledge knowledge NN cord-269711-tw5armh8 19 8 of of IN cord-269711-tw5armh8 19 9 network network NN cord-269711-tw5armh8 19 10 topology topology NN cord-269711-tw5armh8 19 11 , , , cord-269711-tw5armh8 19 12 predictions prediction NNS cord-269711-tw5armh8 19 13 on on IN cord-269711-tw5armh8 19 14 the the DT cord-269711-tw5armh8 19 15 peak peak NN cord-269711-tw5armh8 19 16 and and CC cord-269711-tw5armh8 19 17 the the DT cord-269711-tw5armh8 19 18 final final JJ cord-269711-tw5armh8 19 19 size size NN cord-269711-tw5armh8 19 20 of of IN cord-269711-tw5armh8 19 21 an an DT cord-269711-tw5armh8 19 22 epidemic epidemic NN cord-269711-tw5armh8 19 23 can can MD cord-269711-tw5armh8 19 24 not not RB cord-269711-tw5armh8 19 25 be be VB cord-269711-tw5armh8 19 26 made make VBN cord-269711-tw5armh8 19 27 solely solely RB cord-269711-tw5armh8 19 28 based base VBN cord-269711-tw5armh8 19 29 on on IN cord-269711-tw5armh8 19 30 the the DT cord-269711-tw5armh8 19 31 initial initial JJ cord-269711-tw5armh8 19 32 exponential exponential JJ cord-269711-tw5armh8 19 33 growth growth NN cord-269711-tw5armh8 19 34 rate rate NN cord-269711-tw5armh8 19 35 or or CC cord-269711-tw5armh8 19 36 transmission transmission NN cord-269711-tw5armh8 19 37 rate rate NN cord-269711-tw5armh8 19 38 . . . cord-269711-tw5armh8 20 1 This this DT cord-269711-tw5armh8 20 2 demonstrates demonstrate VBZ cord-269711-tw5armh8 20 3 the the DT cord-269711-tw5armh8 20 4 importance importance NN cord-269711-tw5armh8 20 5 of of IN cord-269711-tw5armh8 20 6 understanding understand VBG cord-269711-tw5armh8 20 7 the the DT cord-269711-tw5armh8 20 8 topology topology NN cord-269711-tw5armh8 20 9 of of IN cord-269711-tw5armh8 20 10 realistic realistic JJ cord-269711-tw5armh8 20 11 contact contact NN cord-269711-tw5armh8 20 12 networks network NNS cord-269711-tw5armh8 20 13 when when WRB cord-269711-tw5armh8 20 14 evaluating evaluate VBG cord-269711-tw5armh8 20 15 vaccination vaccination NN cord-269711-tw5armh8 20 16 strategies strategy NNS cord-269711-tw5armh8 20 17 . . . cord-269711-tw5armh8 21 1 The the DT cord-269711-tw5armh8 21 2 importance importance NN cord-269711-tw5armh8 21 3 of of IN cord-269711-tw5armh8 21 4 contact contact NN cord-269711-tw5armh8 21 5 network network NN cord-269711-tw5armh8 21 6 topology topology NN cord-269711-tw5armh8 21 7 for for IN cord-269711-tw5armh8 21 8 the the DT cord-269711-tw5armh8 21 9 success success NN cord-269711-tw5armh8 21 10 of of IN cord-269711-tw5armh8 21 11 vaccination vaccination NN cord-269711-tw5armh8 21 12 strategies strategy NNS cord-269711-tw5armh8 21 13 For for IN cord-269711-tw5armh8 21 14 many many JJ cord-269711-tw5armh8 21 15 viral viral JJ cord-269711-tw5armh8 21 16 diseases disease NNS cord-269711-tw5armh8 21 17 , , , cord-269711-tw5armh8 21 18 vaccination vaccination NN cord-269711-tw5armh8 21 19 forms form VBZ cord-269711-tw5armh8 21 20 the the DT cord-269711-tw5armh8 21 21 cornerstone cornerstone NN cord-269711-tw5armh8 21 22 in in IN cord-269711-tw5armh8 21 23 managing manage VBG cord-269711-tw5armh8 21 24 their -PRON- PRP$ cord-269711-tw5armh8 21 25 spread spread NN cord-269711-tw5armh8 21 26 and and CC cord-269711-tw5armh8 21 27 the the DT cord-269711-tw5armh8 21 28 question question NN cord-269711-tw5armh8 21 29 naturally naturally RB cord-269711-tw5armh8 21 30 arises arise VBZ cord-269711-tw5armh8 21 31 as as IN cord-269711-tw5armh8 21 32 to to IN cord-269711-tw5armh8 21 33 which which WDT cord-269711-tw5armh8 21 34 vaccination vaccination NN cord-269711-tw5armh8 21 35 strategy strategy NN cord-269711-tw5armh8 21 36 is be VBZ cord-269711-tw5armh8 21 37 , , , cord-269711-tw5armh8 21 38 given give VBN cord-269711-tw5armh8 21 39 practical practical JJ cord-269711-tw5armh8 21 40 constraints constraint NNS cord-269711-tw5armh8 21 41 , , , cord-269711-tw5armh8 21 42 the the DT cord-269711-tw5armh8 21 43 most most RBS cord-269711-tw5armh8 21 44 effective effective JJ cord-269711-tw5armh8 21 45 in in IN cord-269711-tw5armh8 21 46 stopping stop VBG cord-269711-tw5armh8 21 47 the the DT cord-269711-tw5armh8 21 48 disease disease NN cord-269711-tw5armh8 21 49 spread spread VB cord-269711-tw5armh8 21 50 . . . cord-269711-tw5armh8 22 1 For for IN cord-269711-tw5armh8 22 2 evaluating evaluate VBG cord-269711-tw5armh8 22 3 the the DT cord-269711-tw5armh8 22 4 effectiveness effectiveness NN cord-269711-tw5armh8 22 5 of of IN cord-269711-tw5armh8 22 6 a a DT cord-269711-tw5armh8 22 7 vaccination vaccination NN cord-269711-tw5armh8 22 8 strategy strategy NN cord-269711-tw5armh8 22 9 , , , cord-269711-tw5armh8 22 10 it -PRON- PRP cord-269711-tw5armh8 22 11 is be VBZ cord-269711-tw5armh8 22 12 necessary necessary JJ cord-269711-tw5armh8 22 13 to to TO cord-269711-tw5armh8 22 14 have have VB cord-269711-tw5armh8 22 15 as as RB cord-269711-tw5armh8 22 16 precise precise JJ cord-269711-tw5armh8 22 17 a a DT cord-269711-tw5armh8 22 18 model model NN cord-269711-tw5armh8 22 19 as as IN cord-269711-tw5armh8 22 20 possible possible JJ cord-269711-tw5armh8 22 21 for for IN cord-269711-tw5armh8 22 22 the the DT cord-269711-tw5armh8 22 23 disease disease NN cord-269711-tw5armh8 22 24 dynamics dynamic NNS cord-269711-tw5armh8 22 25 . . . cord-269711-tw5armh8 23 1 The the DT cord-269711-tw5armh8 23 2 widely widely RB cord-269711-tw5armh8 23 3 studied study VBN cord-269711-tw5armh8 23 4 key key JJ cord-269711-tw5armh8 23 5 reference reference NN cord-269711-tw5armh8 23 6 models model NNS cord-269711-tw5armh8 23 7 for for IN cord-269711-tw5armh8 23 8 infectious infectious JJ cord-269711-tw5armh8 23 9 disease disease NN cord-269711-tw5armh8 23 10 epidemics epidemic NNS cord-269711-tw5armh8 23 11 are be VBP cord-269711-tw5armh8 23 12 the the DT cord-269711-tw5armh8 23 13 homogeneous homogeneous JJ cord-269711-tw5armh8 23 14 mixing mixing NN cord-269711-tw5armh8 23 15 models model NNS cord-269711-tw5armh8 23 16 where where WRB cord-269711-tw5armh8 23 17 any any DT cord-269711-tw5armh8 23 18 member member NN cord-269711-tw5armh8 23 19 of of IN cord-269711-tw5armh8 23 20 the the DT cord-269711-tw5armh8 23 21 population population NN cord-269711-tw5armh8 23 22 can can MD cord-269711-tw5armh8 23 23 infect infect VB cord-269711-tw5armh8 23 24 or or CC cord-269711-tw5armh8 23 25 be be VB cord-269711-tw5armh8 23 26 infected infect VBN cord-269711-tw5armh8 23 27 by by IN cord-269711-tw5armh8 23 28 any any DT cord-269711-tw5armh8 23 29 other other JJ cord-269711-tw5armh8 23 30 member member NN cord-269711-tw5armh8 23 31 of of IN cord-269711-tw5armh8 23 32 the the DT cord-269711-tw5armh8 23 33 population population NN cord-269711-tw5armh8 23 34 ; ; : cord-269711-tw5armh8 23 35 see see VB cord-269711-tw5armh8 23 36 , , , cord-269711-tw5armh8 23 37 for for IN cord-269711-tw5armh8 23 38 example example NN cord-269711-tw5armh8 23 39 , , , cord-269711-tw5armh8 23 40 Anderson Anderson NNP cord-269711-tw5armh8 23 41 and and CC cord-269711-tw5armh8 23 42 May May NNP cord-269711-tw5armh8 23 43 ( ( -LRB- cord-269711-tw5armh8 23 44 1991 1991 CD cord-269711-tw5armh8 23 45 ) ) -RRB- cord-269711-tw5armh8 23 46 and and CC cord-269711-tw5armh8 23 47 Brauer Brauer NNP cord-269711-tw5armh8 23 48 ( ( -LRB- cord-269711-tw5armh8 23 49 2008 2008 CD cord-269711-tw5armh8 23 50 ) ) -RRB- cord-269711-tw5armh8 23 51 . . . cord-269711-tw5armh8 24 1 The the DT cord-269711-tw5armh8 24 2 advantage advantage NN cord-269711-tw5armh8 24 3 of of IN cord-269711-tw5armh8 24 4 a a DT cord-269711-tw5armh8 24 5 homogeneous homogeneous JJ cord-269711-tw5armh8 24 6 mixing mixing NN cord-269711-tw5armh8 24 7 model model NN cord-269711-tw5armh8 24 8 is be VBZ cord-269711-tw5armh8 24 9 that that IN cord-269711-tw5armh8 24 10 it -PRON- PRP cord-269711-tw5armh8 24 11 lends lend VBZ cord-269711-tw5armh8 24 12 itself -PRON- PRP cord-269711-tw5armh8 24 13 relatively relatively RB cord-269711-tw5armh8 24 14 well well RB cord-269711-tw5armh8 24 15 to to IN cord-269711-tw5armh8 24 16 analysis analysis NN cord-269711-tw5armh8 24 17 and and CC cord-269711-tw5armh8 24 18 therefore therefore RB cord-269711-tw5armh8 24 19 is be VBZ cord-269711-tw5armh8 24 20 a a DT cord-269711-tw5armh8 24 21 good good JJ cord-269711-tw5armh8 24 22 starting starting NN cord-269711-tw5armh8 24 23 point point NN cord-269711-tw5armh8 24 24 . . . cord-269711-tw5armh8 25 1 Due due IN cord-269711-tw5armh8 25 2 to to IN cord-269711-tw5armh8 25 3 the the DT cord-269711-tw5armh8 25 4 homogeneity homogeneity NN cord-269711-tw5armh8 25 5 assumption assumption NN cord-269711-tw5armh8 25 6 , , , cord-269711-tw5armh8 25 7 these these DT cord-269711-tw5armh8 25 8 models model NNS cord-269711-tw5armh8 25 9 predict predict VBP cord-269711-tw5armh8 25 10 that that IN cord-269711-tw5armh8 25 11 the the DT cord-269711-tw5armh8 25 12 fraction fraction NN cord-269711-tw5armh8 25 13 of of IN cord-269711-tw5armh8 25 14 the the DT cord-269711-tw5armh8 25 15 population population NN cord-269711-tw5armh8 25 16 that that WDT cord-269711-tw5armh8 25 17 needs need VBZ cord-269711-tw5armh8 25 18 to to TO cord-269711-tw5armh8 25 19 be be VB cord-269711-tw5armh8 25 20 vaccinated vaccinate VBN cord-269711-tw5armh8 25 21 to to TO cord-269711-tw5armh8 25 22 curtail curtail VB cord-269711-tw5armh8 25 23 an an DT cord-269711-tw5armh8 25 24 epidemic epidemic NN cord-269711-tw5armh8 25 25 is be VBZ cord-269711-tw5armh8 25 26 equal equal JJ cord-269711-tw5armh8 25 27 to to IN cord-269711-tw5armh8 25 28 1À1 1à1 CD cord-269711-tw5armh8 25 29 = = SYM cord-269711-tw5armh8 25 30 R r NN cord-269711-tw5armh8 25 31 0 0 CD cord-269711-tw5armh8 25 32 , , , cord-269711-tw5armh8 25 33 where where WRB cord-269711-tw5armh8 25 34 R r NN cord-269711-tw5armh8 25 35 0 0 CD cord-269711-tw5armh8 25 36 is be VBZ cord-269711-tw5armh8 25 37 the the DT cord-269711-tw5armh8 25 38 basic basic JJ cord-269711-tw5armh8 25 39 reproduction reproduction NN cord-269711-tw5armh8 25 40 number number NN cord-269711-tw5armh8 25 41 ( ( -LRB- cord-269711-tw5armh8 25 42 the the DT cord-269711-tw5armh8 25 43 average average JJ cord-269711-tw5armh8 25 44 number number NN cord-269711-tw5armh8 25 45 of of IN cord-269711-tw5armh8 25 46 secondary secondary JJ cord-269711-tw5armh8 25 47 infections infection NNS cord-269711-tw5armh8 25 48 caused cause VBN cord-269711-tw5armh8 25 49 by by IN cord-269711-tw5armh8 25 50 a a DT cord-269711-tw5armh8 25 51 typical typical JJ cord-269711-tw5armh8 25 52 infectious infectious JJ cord-269711-tw5armh8 25 53 individual individual NN cord-269711-tw5armh8 25 54 in in IN cord-269711-tw5armh8 25 55 a a DT cord-269711-tw5armh8 25 56 fully fully RB cord-269711-tw5armh8 25 57 susceptible susceptible JJ cord-269711-tw5armh8 25 58 population population NN cord-269711-tw5armh8 25 59 ) ) -RRB- cord-269711-tw5armh8 25 60 . . . cord-269711-tw5armh8 26 1 However however RB cord-269711-tw5armh8 26 2 , , , cord-269711-tw5armh8 26 3 the the DT cord-269711-tw5armh8 26 4 homogeneous homogeneous JJ cord-269711-tw5armh8 26 5 mixing mix VBG cord-269711-tw5armh8 26 6 assumption assumption NN cord-269711-tw5armh8 26 7 poorly poorly RB cord-269711-tw5armh8 26 8 reflects reflect VBZ cord-269711-tw5armh8 26 9 the the DT cord-269711-tw5armh8 26 10 actual actual JJ cord-269711-tw5armh8 26 11 interactions interaction NNS cord-269711-tw5armh8 26 12 within within IN cord-269711-tw5armh8 26 13 a a DT cord-269711-tw5armh8 26 14 population population NN cord-269711-tw5armh8 26 15 , , , cord-269711-tw5armh8 26 16 since since IN cord-269711-tw5armh8 26 17 , , , cord-269711-tw5armh8 26 18 for for IN cord-269711-tw5armh8 26 19 example example NN cord-269711-tw5armh8 26 20 , , , cord-269711-tw5armh8 26 21 school school NN cord-269711-tw5armh8 26 22 children child NNS cord-269711-tw5armh8 26 23 and and CC cord-269711-tw5armh8 26 24 office office NN cord-269711-tw5armh8 26 25 co co NNS cord-269711-tw5armh8 26 26 - - NNS cord-269711-tw5armh8 26 27 workers worker NNS cord-269711-tw5armh8 26 28 spend spend VBP cord-269711-tw5armh8 26 29 significant significant JJ cord-269711-tw5armh8 26 30 amounts amount NNS cord-269711-tw5armh8 26 31 of of IN cord-269711-tw5armh8 26 32 time time NN cord-269711-tw5armh8 26 33 in in IN cord-269711-tw5armh8 26 34 close close JJ cord-269711-tw5armh8 26 35 proximity proximity NN cord-269711-tw5armh8 26 36 and and CC cord-269711-tw5armh8 26 37 therefore therefore RB cord-269711-tw5armh8 26 38 are be VBP cord-269711-tw5armh8 26 39 much much RB cord-269711-tw5armh8 26 40 more more RBR cord-269711-tw5armh8 26 41 likely likely JJ cord-269711-tw5armh8 26 42 to to TO cord-269711-tw5armh8 26 43 infect infect VB cord-269711-tw5armh8 26 44 each each DT cord-269711-tw5armh8 26 45 other other JJ cord-269711-tw5armh8 26 46 than than IN cord-269711-tw5armh8 26 47 an an DT cord-269711-tw5armh8 26 48 elderly elderly JJ cord-269711-tw5armh8 26 49 person person NN cord-269711-tw5armh8 26 50 who who WP cord-269711-tw5armh8 26 51 mostly mostly RB cord-269711-tw5armh8 26 52 stays stay VBZ cord-269711-tw5armh8 26 53 at at IN cord-269711-tw5armh8 26 54 home home NN cord-269711-tw5armh8 26 55 . . . cord-269711-tw5armh8 27 1 Consequently consequently RB cord-269711-tw5armh8 27 2 , , , cord-269711-tw5armh8 27 3 efforts effort NNS cord-269711-tw5armh8 27 4 have have VBP cord-269711-tw5armh8 27 5 been be VBN cord-269711-tw5armh8 27 6 made make VBN cord-269711-tw5armh8 27 7 to to TO cord-269711-tw5armh8 27 8 incorporate incorporate VB cord-269711-tw5armh8 27 9 the the DT cord-269711-tw5armh8 27 10 network network NN cord-269711-tw5armh8 27 11 structure structure NN cord-269711-tw5armh8 27 12 into into IN cord-269711-tw5armh8 27 13 models model NNS cord-269711-tw5armh8 27 14 , , , cord-269711-tw5armh8 27 15 where where WRB cord-269711-tw5armh8 27 16 individuals individual NNS cord-269711-tw5armh8 27 17 are be VBP cord-269711-tw5armh8 27 18 represented represent VBN cord-269711-tw5armh8 27 19 by by IN cord-269711-tw5armh8 27 20 nodes node NNS cord-269711-tw5armh8 27 21 and and CC cord-269711-tw5armh8 27 22 contacts contact NNS cord-269711-tw5armh8 27 23 are be VBP cord-269711-tw5armh8 27 24 presented present VBN cord-269711-tw5armh8 27 25 by by IN cord-269711-tw5armh8 27 26 edges edge NNS cord-269711-tw5armh8 27 27 . . . cord-269711-tw5armh8 28 1 In in IN cord-269711-tw5armh8 28 2 the the DT cord-269711-tw5armh8 28 3 context context NN cord-269711-tw5armh8 28 4 of of IN cord-269711-tw5armh8 28 5 the the DT cord-269711-tw5armh8 28 6 severe severe JJ cord-269711-tw5armh8 28 7 acute acute JJ cord-269711-tw5armh8 28 8 respiratory respiratory JJ cord-269711-tw5armh8 28 9 syndrome syndrome NN cord-269711-tw5armh8 28 10 ( ( -LRB- cord-269711-tw5armh8 28 11 SARS SARS NNP cord-269711-tw5armh8 28 12 ) ) -RRB- cord-269711-tw5armh8 28 13 , , , cord-269711-tw5armh8 28 14 it -PRON- PRP cord-269711-tw5armh8 28 15 was be VBD cord-269711-tw5armh8 28 16 shown show VBN cord-269711-tw5armh8 28 17 by by IN cord-269711-tw5armh8 28 18 Meyers Meyers NNP cord-269711-tw5armh8 28 19 et et NNP cord-269711-tw5armh8 28 20 al al NNP cord-269711-tw5armh8 28 21 . . . cord-269711-tw5armh8 29 1 ( ( -LRB- cord-269711-tw5armh8 29 2 2005 2005 CD cord-269711-tw5armh8 29 3 ) ) -RRB- cord-269711-tw5armh8 29 4 that that IN cord-269711-tw5armh8 29 5 the the DT cord-269711-tw5armh8 29 6 incorporation incorporation NN cord-269711-tw5armh8 29 7 of of IN cord-269711-tw5armh8 29 8 contact contact NN cord-269711-tw5armh8 29 9 networks network NNS cord-269711-tw5armh8 29 10 may may MD cord-269711-tw5armh8 29 11 yield yield VB cord-269711-tw5armh8 29 12 different different JJ cord-269711-tw5armh8 29 13 epidemic epidemic NN cord-269711-tw5armh8 29 14 outcomes outcome NNS cord-269711-tw5armh8 29 15 even even RB cord-269711-tw5armh8 29 16 for for IN cord-269711-tw5armh8 29 17 the the DT cord-269711-tw5armh8 29 18 same same JJ cord-269711-tw5armh8 29 19 basic basic JJ cord-269711-tw5armh8 29 20 reproduction reproduction NN cord-269711-tw5armh8 29 21 number number NN cord-269711-tw5armh8 29 22 R r NN cord-269711-tw5armh8 29 23 0 0 CD cord-269711-tw5armh8 29 24 . . . cord-269711-tw5armh8 30 1 For for IN cord-269711-tw5armh8 30 2 pandemic pandemic NN cord-269711-tw5armh8 30 3 influenza influenza NN cord-269711-tw5armh8 30 4 H1N1/09 H1N1/09 NNP cord-269711-tw5armh8 30 5 , , , cord-269711-tw5armh8 30 6 Pourbohloul Pourbohloul NNP cord-269711-tw5armh8 30 7 et et NNP cord-269711-tw5armh8 30 8 al al NNP cord-269711-tw5armh8 30 9 . . . cord-269711-tw5armh8 31 1 ( ( -LRB- cord-269711-tw5armh8 31 2 2009 2009 CD cord-269711-tw5armh8 31 3 ) ) -RRB- cord-269711-tw5armh8 31 4 and and CC cord-269711-tw5armh8 31 5 Davoudi Davoudi NNP cord-269711-tw5armh8 31 6 et et FW cord-269711-tw5armh8 31 7 al al NNP cord-269711-tw5armh8 31 8 . . . cord-269711-tw5armh8 32 1 ( ( -LRB- cord-269711-tw5armh8 32 2 2012 2012 CD cord-269711-tw5armh8 32 3 ) ) -RRB- cord-269711-tw5armh8 32 4 used use VBN cord-269711-tw5armh8 32 5 network network NN cord-269711-tw5armh8 32 6 theory theory NN cord-269711-tw5armh8 32 7 to to TO cord-269711-tw5armh8 32 8 obtain obtain VB cord-269711-tw5armh8 32 9 a a DT cord-269711-tw5armh8 32 10 real real JJ cord-269711-tw5armh8 32 11 time time NN cord-269711-tw5armh8 32 12 estimate estimate NN cord-269711-tw5armh8 32 13 for for IN cord-269711-tw5armh8 32 14 R r NN cord-269711-tw5armh8 32 15 0 0 CD cord-269711-tw5armh8 32 16 . . . cord-269711-tw5armh8 33 1 Numerical numerical JJ cord-269711-tw5armh8 33 2 simulations simulation NNS cord-269711-tw5armh8 33 3 have have VBP cord-269711-tw5armh8 33 4 shown show VBN cord-269711-tw5armh8 33 5 that that IN cord-269711-tw5armh8 33 6 different different JJ cord-269711-tw5armh8 33 7 networks network NNS cord-269711-tw5armh8 33 8 can can MD cord-269711-tw5armh8 33 9 yield yield VB cord-269711-tw5armh8 33 10 distinct distinct JJ cord-269711-tw5armh8 33 11 disease disease NN cord-269711-tw5armh8 33 12 spread spread VBD cord-269711-tw5armh8 33 13 patterns pattern NNS cord-269711-tw5armh8 33 14 ; ; : cord-269711-tw5armh8 33 15 see see VB cord-269711-tw5armh8 33 16 , , , cord-269711-tw5armh8 33 17 for for IN cord-269711-tw5armh8 33 18 example example NN cord-269711-tw5armh8 33 19 , , , cord-269711-tw5armh8 33 20 Bansal Bansal NNP cord-269711-tw5armh8 33 21 et et NNP cord-269711-tw5armh8 33 22 al al NNP cord-269711-tw5armh8 33 23 . . . cord-269711-tw5armh8 34 1 ( ( -LRB- cord-269711-tw5armh8 34 2 2007 2007 CD cord-269711-tw5armh8 34 3 ) ) -RRB- cord-269711-tw5armh8 34 4 , , , cord-269711-tw5armh8 34 5 Miller Miller NNP cord-269711-tw5armh8 34 6 et et NNP cord-269711-tw5armh8 34 7 al al NNP cord-269711-tw5armh8 34 8 . . . cord-269711-tw5armh8 35 1 ( ( -LRB- cord-269711-tw5armh8 35 2 2012 2012 CD cord-269711-tw5armh8 35 3 ) ) -RRB- cord-269711-tw5armh8 35 4 , , , cord-269711-tw5armh8 35 5 and and CC cord-269711-tw5armh8 35 6 Section section NN cord-269711-tw5armh8 35 7 7.6 7.6 CD cord-269711-tw5armh8 35 8 in in IN cord-269711-tw5armh8 35 9 Keeling Keeling NNP cord-269711-tw5armh8 35 10 and and CC cord-269711-tw5armh8 35 11 Rohani Rohani NNP cord-269711-tw5armh8 35 12 ( ( -LRB- cord-269711-tw5armh8 35 13 2008 2008 CD cord-269711-tw5armh8 35 14 ) ) -RRB- cord-269711-tw5armh8 35 15 . . . cord-269711-tw5armh8 36 1 To to TO cord-269711-tw5armh8 36 2 illustrate illustrate VB cord-269711-tw5armh8 36 3 this this DT cord-269711-tw5armh8 36 4 difference difference NN cord-269711-tw5armh8 36 5 for for IN cord-269711-tw5armh8 36 6 the the DT cord-269711-tw5armh8 36 7 networks network NNS cord-269711-tw5armh8 36 8 and and CC cord-269711-tw5armh8 36 9 parameters parameter NNS cord-269711-tw5armh8 36 10 we -PRON- PRP cord-269711-tw5armh8 36 11 use use VBP cord-269711-tw5armh8 36 12 , , , cord-269711-tw5armh8 36 13 the the DT cord-269711-tw5armh8 36 14 effect effect NN cord-269711-tw5armh8 36 15 of of IN cord-269711-tw5armh8 36 16 different different JJ cord-269711-tw5armh8 36 17 networks network NNS cord-269711-tw5armh8 36 18 on on IN cord-269711-tw5armh8 36 19 disease disease NN cord-269711-tw5armh8 36 20 dynamics dynamic NNS cord-269711-tw5armh8 36 21 is be VBZ cord-269711-tw5armh8 36 22 shown show VBN cord-269711-tw5armh8 36 23 in in IN cord-269711-tw5armh8 36 24 Fig Fig NNP cord-269711-tw5armh8 36 25 . . . cord-269711-tw5armh8 37 1 1 1 LS cord-269711-tw5armh8 37 2 . . . cord-269711-tw5armh8 38 1 Descriptions description NNS cord-269711-tw5armh8 38 2 of of IN cord-269711-tw5armh8 38 3 these these DT cord-269711-tw5armh8 38 4 networks network NNS cord-269711-tw5armh8 38 5 are be VBP cord-269711-tw5armh8 38 6 given give VBN cord-269711-tw5armh8 38 7 in in IN cord-269711-tw5armh8 38 8 Section section NN cord-269711-tw5armh8 38 9 2 2 CD cord-269711-tw5armh8 38 10 and and CC cord-269711-tw5armh8 39 1 Appendix Appendix NNP cord-269711-tw5armh8 39 2 B. B. NNP cord-269711-tw5armh8 40 1 At at IN cord-269711-tw5armh8 40 2 the the DT cord-269711-tw5armh8 40 3 current current JJ cord-269711-tw5armh8 40 4 stage stage NN cord-269711-tw5armh8 40 5 , , , cord-269711-tw5armh8 40 6 most most RBS cord-269711-tw5armh8 40 7 theoretical theoretical JJ cord-269711-tw5armh8 40 8 network network NN cord-269711-tw5armh8 40 9 infectious infectious JJ cord-269711-tw5armh8 40 10 disease disease NN cord-269711-tw5armh8 40 11 models model NNS cord-269711-tw5armh8 40 12 incorporate incorporate VBP cord-269711-tw5armh8 40 13 , , , cord-269711-tw5armh8 40 14 from from IN cord-269711-tw5armh8 40 15 a a DT cord-269711-tw5armh8 40 16 real real JJ cord-269711-tw5armh8 40 17 world world NN cord-269711-tw5armh8 40 18 perspective perspective NN cord-269711-tw5armh8 40 19 , , , cord-269711-tw5armh8 40 20 idealized idealized JJ cord-269711-tw5armh8 40 21 random random JJ cord-269711-tw5armh8 40 22 network network NN cord-269711-tw5armh8 40 23 structures structure NNS cord-269711-tw5armh8 40 24 such such JJ cord-269711-tw5armh8 40 25 as as IN cord-269711-tw5armh8 40 26 regular regular JJ cord-269711-tw5armh8 40 27 ( ( -LRB- cord-269711-tw5armh8 40 28 all all DT cord-269711-tw5armh8 40 29 nodes node NNS cord-269711-tw5armh8 40 30 have have VBP cord-269711-tw5armh8 40 31 the the DT cord-269711-tw5armh8 40 32 same same JJ cord-269711-tw5armh8 40 33 degree degree NN cord-269711-tw5armh8 40 34 ) ) -RRB- cord-269711-tw5armh8 40 35 , , , cord-269711-tw5armh8 40 36 Erd Erd NNP cord-269711-tw5armh8 40 37 + + CC cord-269711-tw5armh8 40 38 os os NNP cord-269711-tw5armh8 40 39 - - HYPH cord-269711-tw5armh8 40 40 Ré ré NN cord-269711-tw5armh8 40 41 nyi nyi NN cord-269711-tw5armh8 40 42 or or CC cord-269711-tw5armh8 40 43 scale scale NN cord-269711-tw5armh8 40 44 - - HYPH cord-269711-tw5armh8 40 45 free free JJ cord-269711-tw5armh8 40 46 random random JJ cord-269711-tw5armh8 40 47 networks network NNS cord-269711-tw5armh8 40 48 where where WRB cord-269711-tw5armh8 40 49 clustering clustering NN cord-269711-tw5armh8 40 50 and and CC cord-269711-tw5armh8 40 51 spatial spatial JJ cord-269711-tw5armh8 40 52 structures structure NNS cord-269711-tw5armh8 40 53 are be VBP cord-269711-tw5armh8 40 54 absent absent JJ cord-269711-tw5armh8 40 55 . . . cord-269711-tw5armh8 41 1 For for IN cord-269711-tw5armh8 41 2 example example NN cord-269711-tw5armh8 41 3 , , , cord-269711-tw5armh8 41 4 Volz Volz NNP cord-269711-tw5armh8 41 5 ( ( -LRB- cord-269711-tw5armh8 41 6 2008 2008 CD cord-269711-tw5armh8 41 7 ) ) -RRB- cord-269711-tw5armh8 41 8 used use VBD cord-269711-tw5armh8 41 9 a a DT cord-269711-tw5armh8 41 10 generating generating NN cord-269711-tw5armh8 41 11 function function NN cord-269711-tw5armh8 41 12 formalism formalism NN cord-269711-tw5armh8 41 13 ( ( -LRB- cord-269711-tw5armh8 41 14 an an DT cord-269711-tw5armh8 41 15 alternate alternate JJ cord-269711-tw5armh8 41 16 derivation derivation NN cord-269711-tw5armh8 41 17 with with IN cord-269711-tw5armh8 41 18 a a DT cord-269711-tw5armh8 41 19 simpler simple JJR cord-269711-tw5armh8 41 20 system system NN cord-269711-tw5armh8 41 21 of of IN cord-269711-tw5armh8 41 22 equations equation NNS cord-269711-tw5armh8 41 23 was be VBD cord-269711-tw5armh8 41 24 recently recently RB cord-269711-tw5armh8 41 25 found find VBN cord-269711-tw5armh8 41 26 by by IN cord-269711-tw5armh8 41 27 Miller Miller NNP cord-269711-tw5armh8 41 28 , , , cord-269711-tw5armh8 41 29 2011 2011 CD cord-269711-tw5armh8 41 30 ) ) -RRB- cord-269711-tw5armh8 41 31 , , , cord-269711-tw5armh8 41 32 while while IN cord-269711-tw5armh8 41 33 we -PRON- PRP cord-269711-tw5armh8 41 34 used use VBD cord-269711-tw5armh8 41 35 the the DT cord-269711-tw5armh8 41 36 degree degree NN cord-269711-tw5armh8 41 37 distribution distribution NN cord-269711-tw5armh8 41 38 in in IN cord-269711-tw5armh8 41 39 the the DT cord-269711-tw5armh8 41 40 effective effective JJ cord-269711-tw5armh8 41 41 degree degree NN cord-269711-tw5armh8 41 42 model model NN cord-269711-tw5armh8 41 43 presented present VBN cord-269711-tw5armh8 41 44 in in IN cord-269711-tw5armh8 41 45 Lindquist Lindquist NNP cord-269711-tw5armh8 41 46 et et NNP cord-269711-tw5armh8 41 47 al al NNP cord-269711-tw5armh8 41 48 . . . cord-269711-tw5armh8 42 1 ( ( -LRB- cord-269711-tw5armh8 42 2 2011 2011 CD cord-269711-tw5armh8 42 3 ) ) -RRB- cord-269711-tw5armh8 42 4 . . . cord-269711-tw5armh8 43 1 In in IN cord-269711-tw5armh8 43 2 these these DT cord-269711-tw5armh8 43 3 models model NNS cord-269711-tw5armh8 43 4 , , , cord-269711-tw5armh8 43 5 the the DT cord-269711-tw5armh8 43 6 degree degree NN cord-269711-tw5armh8 43 7 distribution distribution NN cord-269711-tw5armh8 43 8 is be VBZ cord-269711-tw5armh8 43 9 the the DT cord-269711-tw5armh8 43 10 key key JJ cord-269711-tw5armh8 43 11 network network NN cord-269711-tw5armh8 43 12 characteristic characteristic NN cord-269711-tw5armh8 43 13 for for IN cord-269711-tw5armh8 43 14 disease disease NN cord-269711-tw5armh8 43 15 dynamics dynamic NNS cord-269711-tw5armh8 43 16 . . . cord-269711-tw5armh8 44 1 From from IN cord-269711-tw5armh8 44 2 recent recent JJ cord-269711-tw5armh8 44 3 efforts effort NNS cord-269711-tw5armh8 44 4 ( ( -LRB- cord-269711-tw5armh8 44 5 Ma Ma NNP cord-269711-tw5armh8 44 6 et et NNP cord-269711-tw5armh8 44 7 al al NNP cord-269711-tw5armh8 44 8 . . NNP cord-269711-tw5armh8 44 9 , , , cord-269711-tw5armh8 44 10 2013 2013 CD cord-269711-tw5armh8 44 11 ; ; : cord-269711-tw5armh8 44 12 Volz Volz NNP cord-269711-tw5armh8 44 13 et et NNP cord-269711-tw5armh8 44 14 al al NNP cord-269711-tw5armh8 44 15 . . NNP cord-269711-tw5armh8 44 16 , , , cord-269711-tw5armh8 44 17 2011 2011 CD cord-269711-tw5armh8 44 18 ; ; : cord-269711-tw5armh8 44 19 Moreno Moreno NNP cord-269711-tw5armh8 44 20 et et NNP cord-269711-tw5armh8 44 21 al al NNP cord-269711-tw5armh8 44 22 . . NNP cord-269711-tw5armh8 44 23 , , , cord-269711-tw5armh8 44 24 2003 2003 CD cord-269711-tw5armh8 44 25 ; ; : cord-269711-tw5armh8 44 26 on on IN cord-269711-tw5armh8 44 27 incorporating incorporate VBG cord-269711-tw5armh8 44 28 degree degree NN cord-269711-tw5armh8 44 29 correlation correlation NN cord-269711-tw5armh8 44 30 and and CC cord-269711-tw5armh8 44 31 clustering clustering NN cord-269711-tw5armh8 44 32 ( ( -LRB- cord-269711-tw5armh8 44 33 such such JJ cord-269711-tw5armh8 44 34 as as IN cord-269711-tw5armh8 44 35 households household NNS cord-269711-tw5armh8 44 36 and and CC cord-269711-tw5armh8 44 37 offices office NNS cord-269711-tw5armh8 44 38 ) ) -RRB- cord-269711-tw5armh8 44 39 into into IN cord-269711-tw5armh8 44 40 epidemic epidemic NN cord-269711-tw5armh8 44 41 models model NNS cord-269711-tw5armh8 44 42 , , , cord-269711-tw5armh8 44 43 it -PRON- PRP cord-269711-tw5armh8 44 44 has have VBZ cord-269711-tw5armh8 44 45 been be VBN cord-269711-tw5armh8 44 46 found find VBN cord-269711-tw5armh8 44 47 that that IN cord-269711-tw5armh8 44 48 these these DT cord-269711-tw5armh8 44 49 may may MD cord-269711-tw5armh8 44 50 significantly significantly RB cord-269711-tw5armh8 44 51 affect affect VB cord-269711-tw5armh8 44 52 the the DT cord-269711-tw5armh8 44 53 disease disease NN cord-269711-tw5armh8 44 54 dynamics dynamic NNS cord-269711-tw5armh8 44 55 for for IN cord-269711-tw5armh8 44 56 networks network NNS cord-269711-tw5armh8 44 57 with with IN cord-269711-tw5armh8 44 58 identical identical JJ cord-269711-tw5armh8 44 59 degree degree NN cord-269711-tw5armh8 44 60 distributions distribution NNS cord-269711-tw5armh8 44 61 . . . cord-269711-tw5armh8 45 1 Fig Fig NNP cord-269711-tw5armh8 45 2 . . NNP cord-269711-tw5armh8 45 3 2 2 CD cord-269711-tw5armh8 45 4 shows show VBZ cord-269711-tw5armh8 45 5 disease disease NN cord-269711-tw5armh8 45 6 dynamics dynamic NNS cord-269711-tw5armh8 45 7 on on IN cord-269711-tw5armh8 45 8 networks network NNS cord-269711-tw5armh8 45 9 with with IN cord-269711-tw5armh8 45 10 identical identical JJ cord-269711-tw5armh8 45 11 degree degree NN cord-269711-tw5armh8 45 12 distribution distribution NN cord-269711-tw5armh8 45 13 and and CC cord-269711-tw5armh8 45 14 disease disease NN cord-269711-tw5armh8 45 15 parameters parameter NNS cord-269711-tw5armh8 45 16 , , , cord-269711-tw5armh8 45 17 but but CC cord-269711-tw5armh8 45 18 with with IN cord-269711-tw5armh8 45 19 different different JJ cord-269711-tw5armh8 45 20 network network NN cord-269711-tw5armh8 45 21 topologies topology NNS cord-269711-tw5armh8 45 22 . . . cord-269711-tw5armh8 46 1 Clearly clearly RB cord-269711-tw5armh8 46 2 , , , cord-269711-tw5armh8 46 3 reliable reliable JJ cord-269711-tw5armh8 46 4 predictions prediction NNS cord-269711-tw5armh8 46 5 of of IN cord-269711-tw5armh8 46 6 the the DT cord-269711-tw5armh8 46 7 epidemic epidemic NN cord-269711-tw5armh8 46 8 process process NN cord-269711-tw5armh8 46 9 that that WDT cord-269711-tw5armh8 46 10 only only RB cord-269711-tw5armh8 46 11 use use VBP cord-269711-tw5armh8 46 12 the the DT cord-269711-tw5armh8 46 13 degree degree NN cord-269711-tw5armh8 46 14 distribution distribution NN cord-269711-tw5armh8 46 15 are be VBP cord-269711-tw5armh8 46 16 not not RB cord-269711-tw5armh8 46 17 possible possible JJ cord-269711-tw5armh8 46 18 without without IN cord-269711-tw5armh8 46 19 knowledge knowledge NN cord-269711-tw5armh8 46 20 of of IN cord-269711-tw5armh8 46 21 the the DT cord-269711-tw5armh8 46 22 network network NN cord-269711-tw5armh8 46 23 topology topology NN cord-269711-tw5armh8 46 24 . . . cord-269711-tw5armh8 47 1 Such such JJ cord-269711-tw5armh8 47 2 predictions prediction NNS cord-269711-tw5armh8 47 3 need need VBP cord-269711-tw5armh8 47 4 to to TO cord-269711-tw5armh8 47 5 be be VB cord-269711-tw5armh8 47 6 checked check VBN cord-269711-tw5armh8 47 7 by by IN cord-269711-tw5armh8 47 8 considering consider VBG cord-269711-tw5armh8 47 9 other other JJ cord-269711-tw5armh8 47 10 topological topological JJ cord-269711-tw5armh8 47 11 properties property NNS cord-269711-tw5armh8 47 12 of of IN cord-269711-tw5armh8 47 13 the the DT cord-269711-tw5armh8 47 14 network network NN cord-269711-tw5armh8 47 15 . . . cord-269711-tw5armh8 48 1 Network network NN cord-269711-tw5armh8 48 2 models model NNS cord-269711-tw5armh8 48 3 allow allow VBP cord-269711-tw5armh8 48 4 more more RBR cord-269711-tw5armh8 48 5 precise precise JJ cord-269711-tw5armh8 48 6 modeling modeling NN cord-269711-tw5armh8 48 7 of of IN cord-269711-tw5armh8 48 8 control control NN cord-269711-tw5armh8 48 9 measures measure NNS cord-269711-tw5armh8 48 10 that that WDT cord-269711-tw5armh8 48 11 depend depend VBP cord-269711-tw5armh8 48 12 on on IN cord-269711-tw5armh8 48 13 the the DT cord-269711-tw5armh8 48 14 contact contact NN cord-269711-tw5armh8 48 15 structure structure NN cord-269711-tw5armh8 48 16 of of IN cord-269711-tw5armh8 48 17 the the DT cord-269711-tw5armh8 48 18 population population NN cord-269711-tw5armh8 48 19 , , , cord-269711-tw5armh8 48 20 such such JJ cord-269711-tw5armh8 48 21 as as IN cord-269711-tw5armh8 48 22 priority priority NN cord-269711-tw5armh8 48 23 based base VBN cord-269711-tw5armh8 48 24 vaccination vaccination NN cord-269711-tw5armh8 48 25 and and CC cord-269711-tw5armh8 48 26 contact contact NN cord-269711-tw5armh8 48 27 tracing tracing NN cord-269711-tw5armh8 48 28 . . . cord-269711-tw5armh8 49 1 For for IN cord-269711-tw5armh8 49 2 example example NN cord-269711-tw5armh8 49 3 , , , cord-269711-tw5armh8 49 4 Shaban Shaban NNP cord-269711-tw5armh8 49 5 et et NNP cord-269711-tw5armh8 49 6 al al NNP cord-269711-tw5armh8 49 7 . . . cord-269711-tw5armh8 50 1 ( ( -LRB- cord-269711-tw5armh8 50 2 2008 2008 CD cord-269711-tw5armh8 50 3 ) ) -RRB- cord-269711-tw5armh8 50 4 consider consider VB cord-269711-tw5armh8 50 5 a a DT cord-269711-tw5armh8 50 6 random random JJ cord-269711-tw5armh8 50 7 graph graph NN cord-269711-tw5armh8 50 8 with with IN cord-269711-tw5armh8 50 9 a a DT cord-269711-tw5armh8 50 10 pre pre JJ cord-269711-tw5armh8 50 11 - - JJ cord-269711-tw5armh8 50 12 specified specified JJ cord-269711-tw5armh8 50 13 degree degree NN cord-269711-tw5armh8 50 14 distribution distribution NN cord-269711-tw5armh8 50 15 to to TO cord-269711-tw5armh8 50 16 investigate investigate VB cord-269711-tw5armh8 50 17 vaccination vaccination NN cord-269711-tw5armh8 50 18 models model NNS cord-269711-tw5armh8 50 19 using use VBG cord-269711-tw5armh8 50 20 contact contact NN cord-269711-tw5armh8 50 21 tracing tracing NN cord-269711-tw5armh8 50 22 . . . cord-269711-tw5armh8 51 1 Kiss kiss UH cord-269711-tw5armh8 51 2 et et NNP cord-269711-tw5armh8 51 3 al al NNP cord-269711-tw5armh8 51 4 . . . cord-269711-tw5armh8 52 1 ( ( -LRB- cord-269711-tw5armh8 52 2 2006 2006 CD cord-269711-tw5armh8 52 3 ) ) -RRB- cord-269711-tw5armh8 53 1 compared compare VBN cord-269711-tw5armh8 53 2 the the DT cord-269711-tw5armh8 53 3 efficacy efficacy NN cord-269711-tw5armh8 53 4 of of IN cord-269711-tw5armh8 53 5 contact contact NN cord-269711-tw5armh8 53 6 tracing trace VBG cord-269711-tw5armh8 53 7 on on IN cord-269711-tw5armh8 53 8 random random JJ cord-269711-tw5armh8 53 9 and and CC cord-269711-tw5armh8 53 10 scale scale NN cord-269711-tw5armh8 53 11 - - HYPH cord-269711-tw5armh8 53 12 free free JJ cord-269711-tw5armh8 53 13 networks network NNS cord-269711-tw5armh8 53 14 and and CC cord-269711-tw5armh8 53 15 found find VBD cord-269711-tw5armh8 53 16 that that IN cord-269711-tw5armh8 53 17 for for IN cord-269711-tw5armh8 53 18 transmission transmission NN cord-269711-tw5armh8 53 19 rates rate NNS cord-269711-tw5armh8 53 20 greater great JJR cord-269711-tw5armh8 53 21 than than IN cord-269711-tw5armh8 53 22 a a DT cord-269711-tw5armh8 53 23 certain certain JJ cord-269711-tw5armh8 53 24 threshold threshold NN cord-269711-tw5armh8 53 25 , , , cord-269711-tw5armh8 53 26 the the DT cord-269711-tw5armh8 53 27 final final JJ cord-269711-tw5armh8 53 28 epidemic epidemic NN cord-269711-tw5armh8 53 29 size size NN cord-269711-tw5armh8 53 30 is be VBZ cord-269711-tw5armh8 53 31 smaller small JJR cord-269711-tw5armh8 53 32 on on IN cord-269711-tw5armh8 53 33 a a DT cord-269711-tw5armh8 53 34 scale scale NN cord-269711-tw5armh8 53 35 - - HYPH cord-269711-tw5armh8 53 36 free free JJ cord-269711-tw5armh8 53 37 network network NN cord-269711-tw5armh8 53 38 than than IN cord-269711-tw5armh8 53 39 on on IN cord-269711-tw5armh8 53 40 a a DT cord-269711-tw5armh8 53 41 corresponding corresponding JJ cord-269711-tw5armh8 53 42 random random JJ cord-269711-tw5armh8 53 43 network network NN cord-269711-tw5armh8 53 44 , , , cord-269711-tw5armh8 53 45 while while IN cord-269711-tw5armh8 53 46 they -PRON- PRP cord-269711-tw5armh8 53 47 considered consider VBD cord-269711-tw5armh8 53 48 the the DT cord-269711-tw5armh8 53 49 effects effect NNS cord-269711-tw5armh8 53 50 of of IN cord-269711-tw5armh8 53 51 degree degree NN cord-269711-tw5armh8 53 52 correlations correlation NNS cord-269711-tw5armh8 53 53 in in IN cord-269711-tw5armh8 53 54 Kiss Kiss NNP cord-269711-tw5armh8 53 55 et et NNP cord-269711-tw5armh8 53 56 al al NNP cord-269711-tw5armh8 53 57 . . . cord-269711-tw5armh8 54 1 ( ( -LRB- cord-269711-tw5armh8 54 2 2008 2008 CD cord-269711-tw5armh8 54 3 ) ) -RRB- cord-269711-tw5armh8 54 4 . . . cord-269711-tw5armh8 55 1 Cohen Cohen NNP cord-269711-tw5armh8 55 2 et et NNP cord-269711-tw5armh8 55 3 al al NNP cord-269711-tw5armh8 55 4 . . . cord-269711-tw5armh8 56 1 ( ( -LRB- cord-269711-tw5armh8 56 2 2003 2003 CD cord-269711-tw5armh8 56 3 ) ) -RRB- cord-269711-tw5armh8 57 1 ( ( -LRB- cord-269711-tw5armh8 57 2 see see VB cord-269711-tw5armh8 57 3 also also RB cord-269711-tw5armh8 57 4 Madar Madar NNP cord-269711-tw5armh8 57 5 et et NNP cord-269711-tw5armh8 57 6 al al NNP cord-269711-tw5armh8 57 7 . . NNP cord-269711-tw5armh8 57 8 , , , cord-269711-tw5armh8 57 9 2004 2004 CD cord-269711-tw5armh8 57 10 ) ) -RRB- cord-269711-tw5armh8 57 11 considered consider VBD cord-269711-tw5armh8 57 12 different different JJ cord-269711-tw5armh8 57 13 vaccination vaccination NN cord-269711-tw5armh8 57 14 strategies strategy NNS cord-269711-tw5armh8 57 15 on on IN cord-269711-tw5armh8 57 16 scale scale NN cord-269711-tw5armh8 57 17 - - HYPH cord-269711-tw5armh8 57 18 free free JJ cord-269711-tw5armh8 57 19 networks network NNS cord-269711-tw5armh8 57 20 and and CC cord-269711-tw5armh8 57 21 found find VBD cord-269711-tw5armh8 57 22 that that IN cord-269711-tw5armh8 57 23 acquaintance acquaintance NN cord-269711-tw5armh8 57 24 immunization immunization NN cord-269711-tw5armh8 57 25 is be VBZ cord-269711-tw5armh8 57 26 remarkably remarkably RB cord-269711-tw5armh8 57 27 effective effective JJ cord-269711-tw5armh8 57 28 . . . cord-269711-tw5armh8 58 1 Miller Miller NNP cord-269711-tw5armh8 58 2 and and CC cord-269711-tw5armh8 58 3 Hyman Hyman NNP cord-269711-tw5armh8 58 4 ( ( -LRB- cord-269711-tw5armh8 58 5 2007 2007 CD cord-269711-tw5armh8 58 6 ) ) -RRB- cord-269711-tw5armh8 58 7 considered consider VBD cord-269711-tw5armh8 58 8 several several JJ cord-269711-tw5armh8 58 9 vaccination vaccination NN cord-269711-tw5armh8 58 10 strategies strategy NNS cord-269711-tw5armh8 58 11 on on IN cord-269711-tw5armh8 58 12 a a DT cord-269711-tw5armh8 58 13 simulation simulation NN cord-269711-tw5armh8 58 14 of of IN cord-269711-tw5armh8 58 15 the the DT cord-269711-tw5armh8 58 16 population population NN cord-269711-tw5armh8 58 17 of of IN cord-269711-tw5armh8 58 18 Portland Portland NNP cord-269711-tw5armh8 58 19 Oregon Oregon NNP cord-269711-tw5armh8 58 20 , , , cord-269711-tw5armh8 58 21 USA USA NNP cord-269711-tw5armh8 58 22 , , , cord-269711-tw5armh8 58 23 and and CC cord-269711-tw5armh8 58 24 found find VBD cord-269711-tw5armh8 58 25 it -PRON- PRP cord-269711-tw5armh8 58 26 to to TO cord-269711-tw5armh8 58 27 be be VB cord-269711-tw5armh8 58 28 most most RBS cord-269711-tw5armh8 58 29 effective effective JJ cord-269711-tw5armh8 58 30 to to TO cord-269711-tw5armh8 58 31 vaccinate vaccinate VB cord-269711-tw5armh8 58 32 nodes node NNS cord-269711-tw5armh8 58 33 with with IN cord-269711-tw5armh8 58 34 the the DT cord-269711-tw5armh8 58 35 most most RBS cord-269711-tw5armh8 58 36 unvaccinated unvaccinated JJ cord-269711-tw5armh8 58 37 susceptible susceptible JJ cord-269711-tw5armh8 58 38 contacts contact NNS cord-269711-tw5armh8 58 39 , , , cord-269711-tw5armh8 58 40 although although IN cord-269711-tw5armh8 58 41 they -PRON- PRP cord-269711-tw5armh8 58 42 found find VBD cord-269711-tw5armh8 58 43 that that IN cord-269711-tw5armh8 58 44 this this DT cord-269711-tw5armh8 58 45 strategy strategy NN cord-269711-tw5armh8 58 46 may may MD cord-269711-tw5armh8 58 47 not not RB cord-269711-tw5armh8 58 48 be be VB cord-269711-tw5armh8 58 49 practical practical JJ cord-269711-tw5armh8 58 50 because because IN cord-269711-tw5armh8 58 51 it -PRON- PRP cord-269711-tw5armh8 58 52 requires require VBZ cord-269711-tw5armh8 58 53 considerable considerable JJ cord-269711-tw5armh8 58 54 computational computational JJ cord-269711-tw5armh8 58 55 resources resource NNS cord-269711-tw5armh8 58 56 and and CC cord-269711-tw5armh8 58 57 information information NN cord-269711-tw5armh8 58 58 about about IN cord-269711-tw5armh8 58 59 the the DT cord-269711-tw5armh8 58 60 network network NN cord-269711-tw5armh8 58 61 . . . cord-269711-tw5armh8 59 1 Bansal Bansal NNP cord-269711-tw5armh8 59 2 et et NNP cord-269711-tw5armh8 59 3 al al NNP cord-269711-tw5armh8 59 4 . . . cord-269711-tw5armh8 60 1 ( ( -LRB- cord-269711-tw5armh8 60 2 2006 2006 CD cord-269711-tw5armh8 60 3 ) ) -RRB- cord-269711-tw5armh8 60 4 took take VBD cord-269711-tw5armh8 60 5 a a DT cord-269711-tw5armh8 60 6 contact contact NN cord-269711-tw5armh8 60 7 network network NN cord-269711-tw5armh8 60 8 using use VBG cord-269711-tw5armh8 60 9 data datum NNS cord-269711-tw5armh8 60 10 from from IN cord-269711-tw5armh8 60 11 Vancouver Vancouver NNP cord-269711-tw5armh8 60 12 , , , cord-269711-tw5armh8 60 13 BC BC NNP cord-269711-tw5armh8 60 14 , , , cord-269711-tw5armh8 60 15 Canada Canada NNP cord-269711-tw5armh8 60 16 , , , cord-269711-tw5armh8 60 17 considered consider VBD cord-269711-tw5armh8 60 18 two two CD cord-269711-tw5armh8 60 19 vaccination vaccination NN cord-269711-tw5armh8 60 20 strategies strategy NNS cord-269711-tw5armh8 60 21 , , , cord-269711-tw5armh8 60 22 namely namely RB cord-269711-tw5armh8 60 23 mortality mortality NN cord-269711-tw5armh8 60 24 - - HYPH cord-269711-tw5armh8 60 25 and and CC cord-269711-tw5armh8 60 26 morbidity morbidity NN cord-269711-tw5armh8 60 27 - - HYPH cord-269711-tw5armh8 60 28 based base VBN cord-269711-tw5armh8 60 29 , , , cord-269711-tw5armh8 60 30 and and CC cord-269711-tw5armh8 60 31 investigated investigate VBD cord-269711-tw5armh8 60 32 the the DT cord-269711-tw5armh8 60 33 detrimental detrimental JJ cord-269711-tw5armh8 60 34 effect effect NN cord-269711-tw5armh8 60 35 of of IN cord-269711-tw5armh8 60 36 vaccination vaccination NN cord-269711-tw5armh8 60 37 delays delay NNS cord-269711-tw5armh8 60 38 . . . cord-269711-tw5armh8 61 1 and and CC cord-269711-tw5armh8 61 2 found find VBD cord-269711-tw5armh8 61 3 that that IN cord-269711-tw5armh8 61 4 , , , cord-269711-tw5armh8 61 5 on on IN cord-269711-tw5armh8 61 6 realistic realistic JJ cord-269711-tw5armh8 61 7 contact contact NN cord-269711-tw5armh8 61 8 networks network NNS cord-269711-tw5armh8 61 9 , , , cord-269711-tw5armh8 61 10 vaccination vaccination NN cord-269711-tw5armh8 61 11 strategies strategy NNS cord-269711-tw5armh8 61 12 based base VBN cord-269711-tw5armh8 61 13 on on IN cord-269711-tw5armh8 61 14 detailed detailed JJ cord-269711-tw5armh8 61 15 network network NN cord-269711-tw5armh8 61 16 topology topology NN cord-269711-tw5armh8 61 17 information information NN cord-269711-tw5armh8 61 18 generally generally RB cord-269711-tw5armh8 61 19 outperform outperform VBP cord-269711-tw5armh8 61 20 random random JJ cord-269711-tw5armh8 61 21 vaccination vaccination NN cord-269711-tw5armh8 61 22 . . . cord-269711-tw5armh8 62 1 However however RB cord-269711-tw5armh8 62 2 , , , cord-269711-tw5armh8 62 3 in in IN cord-269711-tw5armh8 62 4 most most JJS cord-269711-tw5armh8 62 5 cases case NNS cord-269711-tw5armh8 62 6 , , , cord-269711-tw5armh8 62 7 contact contact NN cord-269711-tw5armh8 62 8 network network NN cord-269711-tw5armh8 62 9 topologies topology NNS cord-269711-tw5armh8 62 10 are be VBP cord-269711-tw5armh8 62 11 not not RB cord-269711-tw5armh8 62 12 readily readily RB cord-269711-tw5armh8 62 13 available available JJ cord-269711-tw5armh8 62 14 . . . cord-269711-tw5armh8 63 1 Thus thus RB cord-269711-tw5armh8 63 2 , , , cord-269711-tw5armh8 63 3 how how WRB cord-269711-tw5armh8 63 4 different different JJ cord-269711-tw5armh8 63 5 network network NN cord-269711-tw5armh8 63 6 topologies topology NNS cord-269711-tw5armh8 63 7 affect affect VBP cord-269711-tw5armh8 63 8 various various JJ cord-269711-tw5armh8 63 9 vaccination vaccination NN cord-269711-tw5armh8 63 10 strategies strategy NNS cord-269711-tw5armh8 63 11 remains remain VBZ cord-269711-tw5armh8 63 12 of of IN cord-269711-tw5armh8 63 13 considerable considerable JJ cord-269711-tw5armh8 63 14 interest interest NN cord-269711-tw5armh8 63 15 . . . cord-269711-tw5armh8 64 1 To to TO cord-269711-tw5armh8 64 2 address address VB cord-269711-tw5armh8 64 3 this this DT cord-269711-tw5armh8 64 4 question question NN cord-269711-tw5armh8 64 5 , , , cord-269711-tw5armh8 64 6 we -PRON- PRP cord-269711-tw5armh8 64 7 explore explore VBP cord-269711-tw5armh8 64 8 two two CD cord-269711-tw5armh8 64 9 scenarios scenario NNS cord-269711-tw5armh8 64 10 to to TO cord-269711-tw5armh8 64 11 compare compare VB cord-269711-tw5armh8 64 12 percentage percentage NN cord-269711-tw5armh8 64 13 reduction reduction NN cord-269711-tw5armh8 64 14 by by IN cord-269711-tw5armh8 64 15 vaccination vaccination NN cord-269711-tw5armh8 64 16 on on IN cord-269711-tw5armh8 64 17 the the DT cord-269711-tw5armh8 64 18 final final JJ cord-269711-tw5armh8 64 19 size size NN cord-269711-tw5armh8 64 20 of of IN cord-269711-tw5armh8 64 21 epidemics epidemic NNS cord-269711-tw5armh8 64 22 across across IN cord-269711-tw5armh8 64 23 various various JJ cord-269711-tw5armh8 64 24 network network NN cord-269711-tw5armh8 64 25 topologies topology NNS cord-269711-tw5armh8 64 26 . . . cord-269711-tw5armh8 65 1 First first RB cord-269711-tw5armh8 65 2 , , , cord-269711-tw5armh8 65 3 various various JJ cord-269711-tw5armh8 65 4 network network NN cord-269711-tw5armh8 65 5 topologies topology NNS cord-269711-tw5armh8 65 6 are be VBP cord-269711-tw5armh8 65 7 considered consider VBN cord-269711-tw5armh8 65 8 with with IN cord-269711-tw5armh8 65 9 the the DT cord-269711-tw5armh8 65 10 disease disease NN cord-269711-tw5armh8 65 11 parameters parameter NNS cord-269711-tw5armh8 65 12 constant constant JJ cord-269711-tw5armh8 65 13 , , , cord-269711-tw5armh8 65 14 assuming assume VBG cord-269711-tw5armh8 65 15 that that IN cord-269711-tw5armh8 65 16 these these DT cord-269711-tw5armh8 65 17 have have VBP cord-269711-tw5armh8 65 18 been be VBN cord-269711-tw5armh8 65 19 independently independently RB cord-269711-tw5armh8 65 20 estimated estimate VBN cord-269711-tw5armh8 65 21 . . . cord-269711-tw5armh8 66 1 Second second RB cord-269711-tw5armh8 66 2 , , , cord-269711-tw5armh8 66 3 different different JJ cord-269711-tw5armh8 66 4 network network NN cord-269711-tw5armh8 66 5 topologies topology NNS cord-269711-tw5armh8 66 6 are be VBP cord-269711-tw5armh8 66 7 used use VBN cord-269711-tw5armh8 66 8 to to TO cord-269711-tw5armh8 66 9 fit fit VB cord-269711-tw5armh8 66 10 to to IN cord-269711-tw5armh8 66 11 the the DT cord-269711-tw5armh8 66 12 observed observed JJ cord-269711-tw5armh8 66 13 incidence incidence NN cord-269711-tw5armh8 66 14 curve curve NN cord-269711-tw5armh8 66 15 ( ( -LRB- cord-269711-tw5armh8 66 16 number number NN cord-269711-tw5armh8 66 17 of of IN cord-269711-tw5armh8 66 18 new new JJ cord-269711-tw5armh8 66 19 infections infection NNS cord-269711-tw5armh8 66 20 in in IN cord-269711-tw5armh8 66 21 each each DT cord-269711-tw5armh8 66 22 day day NN cord-269711-tw5armh8 66 23 ) ) -RRB- cord-269711-tw5armh8 66 24 , , , cord-269711-tw5armh8 66 25 so so IN cord-269711-tw5armh8 66 26 that that IN cord-269711-tw5armh8 66 27 their -PRON- PRP$ cord-269711-tw5armh8 66 28 disease disease NN cord-269711-tw5armh8 66 29 parameters parameter NNS cord-269711-tw5armh8 66 30 are be VBP cord-269711-tw5armh8 66 31 different different JJ cord-269711-tw5armh8 66 32 yet yet RB cord-269711-tw5armh8 67 1 they -PRON- PRP cord-269711-tw5armh8 67 2 all all DT cord-269711-tw5armh8 67 3 line line VBP cord-269711-tw5armh8 67 4 up up RP cord-269711-tw5armh8 67 5 to to IN cord-269711-tw5armh8 67 6 the the DT cord-269711-tw5armh8 67 7 same same JJ cord-269711-tw5armh8 67 8 initial initial JJ cord-269711-tw5armh8 67 9 exponential exponential JJ cord-269711-tw5armh8 67 10 growth growth NN cord-269711-tw5armh8 67 11 phase phase NN cord-269711-tw5armh8 67 12 of of IN cord-269711-tw5armh8 67 13 the the DT cord-269711-tw5armh8 67 14 epidemic epidemic NN cord-269711-tw5armh8 67 15 . . . cord-269711-tw5armh8 68 1 Vaccines vaccine NNS cord-269711-tw5armh8 68 2 are be VBP cord-269711-tw5armh8 68 3 likely likely RB cord-269711-tw5armh8 68 4 lacking lack VBG cord-269711-tw5armh8 68 5 at at IN cord-269711-tw5armh8 68 6 the the DT cord-269711-tw5armh8 68 7 outbreak outbreak NN cord-269711-tw5armh8 68 8 of of IN cord-269711-tw5armh8 68 9 an an DT cord-269711-tw5armh8 68 10 emerging emerge VBG cord-269711-tw5armh8 68 11 infectious infectious JJ cord-269711-tw5armh8 68 12 disease disease NN cord-269711-tw5armh8 68 13 ( ( -LRB- cord-269711-tw5armh8 68 14 as as IN cord-269711-tw5armh8 68 15 seen see VBN cord-269711-tw5armh8 68 16 in in IN cord-269711-tw5armh8 68 17 the the DT cord-269711-tw5armh8 68 18 2009 2009 CD cord-269711-tw5armh8 68 19 H1N1 H1N1 NNP cord-269711-tw5armh8 68 20 pandemic pandemic NN cord-269711-tw5armh8 68 21 , , , cord-269711-tw5armh8 68 22 Conway Conway NNP cord-269711-tw5armh8 68 23 et et NNP cord-269711-tw5armh8 68 24 al al NNP cord-269711-tw5armh8 68 25 . . NNP cord-269711-tw5armh8 68 26 , , , cord-269711-tw5armh8 68 27 2011 2011 CD cord-269711-tw5armh8 68 28 ) ) -RRB- cord-269711-tw5armh8 68 29 , , , cord-269711-tw5armh8 68 30 and and CC cord-269711-tw5armh8 68 31 thus thus RB cord-269711-tw5armh8 68 32 can can MD cord-269711-tw5armh8 68 33 only only RB cord-269711-tw5armh8 68 34 be be VB cord-269711-tw5armh8 68 35 given give VBN cord-269711-tw5armh8 68 36 after after IN cord-269711-tw5armh8 68 37 the the DT cord-269711-tw5armh8 68 38 disease disease NN cord-269711-tw5armh8 68 39 is be VBZ cord-269711-tw5armh8 68 40 already already RB cord-269711-tw5armh8 68 41 widespread widespread JJ cord-269711-tw5armh8 68 42 . . . cord-269711-tw5armh8 69 1 We -PRON- PRP cord-269711-tw5armh8 69 2 investigate investigate VBP cord-269711-tw5armh8 69 3 numerically numerically RB cord-269711-tw5armh8 69 4 whether whether IN cord-269711-tw5armh8 69 5 network network NN cord-269711-tw5armh8 69 6 topologies topology NNS cord-269711-tw5armh8 69 7 affect affect VBP cord-269711-tw5armh8 69 8 the the DT cord-269711-tw5armh8 69 9 effectiveness effectiveness NN cord-269711-tw5armh8 69 10 of of IN cord-269711-tw5armh8 69 11 vaccination vaccination NN cord-269711-tw5armh8 69 12 strategies strategy NNS cord-269711-tw5armh8 69 13 started start VBD cord-269711-tw5armh8 69 14 with with IN cord-269711-tw5armh8 69 15 a a DT cord-269711-tw5armh8 69 16 delay delay NN cord-269711-tw5armh8 69 17 after after IN cord-269711-tw5armh8 69 18 the the DT cord-269711-tw5armh8 69 19 disease disease NN cord-269711-tw5armh8 69 20 is be VBZ cord-269711-tw5armh8 69 21 widespread widespread JJ cord-269711-tw5armh8 69 22 ; ; : cord-269711-tw5armh8 69 23 for for IN cord-269711-tw5armh8 69 24 example example NN cord-269711-tw5armh8 69 25 , , , cord-269711-tw5armh8 69 26 a a DT cord-269711-tw5armh8 69 27 40 40 CD cord-269711-tw5armh8 69 28 day day NN cord-269711-tw5armh8 69 29 delay delay NN cord-269711-tw5armh8 69 30 as as IN cord-269711-tw5armh8 69 31 in in IN cord-269711-tw5armh8 69 32 the the DT cord-269711-tw5armh8 69 33 second second JJ cord-269711-tw5armh8 69 34 wave wave NN cord-269711-tw5armh8 69 35 of of IN cord-269711-tw5armh8 69 36 the the DT cord-269711-tw5armh8 69 37 2009 2009 CD cord-269711-tw5armh8 69 38 influenza influenza NN cord-269711-tw5armh8 69 39 pandemic pandemic NN cord-269711-tw5armh8 69 40 in in IN cord-269711-tw5armh8 69 41 British British NNP cord-269711-tw5armh8 69 42 Columbia Columbia NNP cord-269711-tw5armh8 69 43 , , , cord-269711-tw5armh8 69 44 Canada Canada NNP cord-269711-tw5armh8 69 45 ( ( -LRB- cord-269711-tw5armh8 69 46 Office Office NNP cord-269711-tw5armh8 69 47 of of IN cord-269711-tw5armh8 69 48 the the DT cord-269711-tw5armh8 69 49 Provincial Provincial NNP cord-269711-tw5armh8 69 50 Health Health NNP cord-269711-tw5armh8 69 51 Officer Officer NNP cord-269711-tw5armh8 69 52 , , , cord-269711-tw5armh8 69 53 2010 2010 CD cord-269711-tw5armh8 69 54 ) ) -RRB- cord-269711-tw5armh8 69 55 . . . cord-269711-tw5armh8 70 1 Details detail NNS cord-269711-tw5armh8 70 2 of of IN cord-269711-tw5armh8 70 3 our -PRON- PRP$ cord-269711-tw5armh8 70 4 numerical numerical JJ cord-269711-tw5armh8 70 5 simulations simulation NNS cord-269711-tw5armh8 70 6 are be VBP cord-269711-tw5armh8 70 7 given give VBN cord-269711-tw5armh8 70 8 in in IN cord-269711-tw5armh8 70 9 Appendix Appendix NNP cord-269711-tw5armh8 70 10 A. A. NNP cord-269711-tw5armh8 71 1 This this DT cord-269711-tw5armh8 71 2 paper paper NN cord-269711-tw5armh8 71 3 is be VBZ cord-269711-tw5armh8 71 4 structured structure VBN cord-269711-tw5armh8 71 5 as as IN cord-269711-tw5armh8 71 6 follows follow VBZ cord-269711-tw5armh8 71 7 . . . cord-269711-tw5armh8 72 1 In in IN cord-269711-tw5armh8 72 2 Section section NN cord-269711-tw5armh8 72 3 2 2 CD cord-269711-tw5armh8 72 4 , , , cord-269711-tw5armh8 72 5 a a DT cord-269711-tw5armh8 72 6 brief brief JJ cord-269711-tw5armh8 72 7 overview overview NN cord-269711-tw5armh8 72 8 of of IN cord-269711-tw5armh8 72 9 the the DT cord-269711-tw5armh8 72 10 networks network NNS cord-269711-tw5armh8 72 11 and and CC cord-269711-tw5armh8 72 12 vaccination vaccination NN cord-269711-tw5armh8 72 13 strategies strategy NNS cord-269711-tw5armh8 72 14 ( ( -LRB- cord-269711-tw5armh8 72 15 more more JJR cord-269711-tw5armh8 72 16 details detail NNS cord-269711-tw5armh8 72 17 are be VBP cord-269711-tw5armh8 72 18 provided provide VBN cord-269711-tw5armh8 72 19 in in IN cord-269711-tw5armh8 72 20 Appendices Appendices NNP cord-269711-tw5armh8 72 21 B B NNP cord-269711-tw5armh8 72 22 and and CC cord-269711-tw5armh8 72 23 C C NNP cord-269711-tw5armh8 72 24 ) ) -RRB- cord-269711-tw5armh8 72 25 is be VBZ cord-269711-tw5armh8 72 26 given give VBN cord-269711-tw5armh8 72 27 . . . cord-269711-tw5armh8 73 1 In in IN cord-269711-tw5armh8 73 2 Section section NN cord-269711-tw5armh8 73 3 3 3 CD cord-269711-tw5armh8 73 4 , , , cord-269711-tw5armh8 73 5 we -PRON- PRP cord-269711-tw5armh8 73 6 investigate investigate VBP cord-269711-tw5armh8 73 7 the the DT cord-269711-tw5armh8 73 8 scenario scenario NN cord-269711-tw5armh8 73 9 where where WRB cord-269711-tw5armh8 73 10 the the DT cord-269711-tw5armh8 73 11 transmission transmission NN cord-269711-tw5armh8 73 12 rate rate NN cord-269711-tw5armh8 73 13 is be VBZ cord-269711-tw5armh8 73 14 fixed fix VBN cord-269711-tw5armh8 73 15 , , , cord-269711-tw5armh8 73 16 while while IN cord-269711-tw5armh8 73 17 in in IN cord-269711-tw5armh8 73 18 Section section NN cord-269711-tw5armh8 73 19 4 4 CD cord-269711-tw5armh8 73 20 we -PRON- PRP cord-269711-tw5armh8 73 21 investigate investigate VBP cord-269711-tw5armh8 73 22 the the DT cord-269711-tw5armh8 73 23 scenario scenario NN cord-269711-tw5armh8 73 24 where where WRB cord-269711-tw5armh8 73 25 the the DT cord-269711-tw5armh8 73 26 growth growth NN cord-269711-tw5armh8 73 27 rate rate NN cord-269711-tw5armh8 73 28 of of IN cord-269711-tw5armh8 73 29 the the DT cord-269711-tw5armh8 73 30 incidence incidence NN cord-269711-tw5armh8 73 31 curve curve NN cord-269711-tw5armh8 73 32 is be VBZ cord-269711-tw5armh8 73 33 fixed fix VBN cord-269711-tw5armh8 73 34 . . . cord-269711-tw5armh8 74 1 To to IN cord-269711-tw5armh8 74 2 this this DT cord-269711-tw5armh8 74 3 end end NN cord-269711-tw5armh8 74 4 , , , cord-269711-tw5armh8 74 5 we -PRON- PRP cord-269711-tw5armh8 74 6 compute compute VBP cord-269711-tw5armh8 74 7 the the DT cord-269711-tw5armh8 74 8 incidence incidence NN cord-269711-tw5armh8 74 9 curves curve NNS cord-269711-tw5armh8 74 10 and and CC cord-269711-tw5armh8 74 11 reductions reduction NNS cord-269711-tw5armh8 74 12 in in IN cord-269711-tw5armh8 74 13 final final JJ cord-269711-tw5armh8 74 14 sizes size NNS cord-269711-tw5armh8 74 15 ( ( -LRB- cord-269711-tw5armh8 74 16 total total JJ cord-269711-tw5armh8 74 17 number number NN cord-269711-tw5armh8 74 18 of of IN cord-269711-tw5armh8 74 19 infections infection NNS cord-269711-tw5armh8 74 20 during during IN cord-269711-tw5armh8 74 21 the the DT cord-269711-tw5armh8 74 22 course course NN cord-269711-tw5armh8 74 23 of of IN cord-269711-tw5armh8 74 24 the the DT cord-269711-tw5armh8 74 25 epidemic epidemic NN cord-269711-tw5armh8 74 26 ) ) -RRB- cord-269711-tw5armh8 74 27 due due IN cord-269711-tw5armh8 74 28 to to IN cord-269711-tw5armh8 74 29 vaccination vaccination NN cord-269711-tw5armh8 74 30 . . . cord-269711-tw5armh8 75 1 For for IN cord-269711-tw5armh8 75 2 the the DT cord-269711-tw5armh8 75 3 homogeneous homogeneous JJ cord-269711-tw5armh8 75 4 mixing mixing NN cord-269711-tw5armh8 75 5 model model NN cord-269711-tw5armh8 75 6 , , , cord-269711-tw5armh8 75 7 these these DT cord-269711-tw5armh8 75 8 scenarios scenario NNS cord-269711-tw5armh8 75 9 are be VBP cord-269711-tw5armh8 75 10 identical identical JJ cord-269711-tw5armh8 75 11 ( ( -LRB- cord-269711-tw5armh8 75 12 Ma Ma NNP cord-269711-tw5armh8 75 13 and and CC cord-269711-tw5armh8 75 14 Earn Earn NNP cord-269711-tw5armh8 75 15 , , , cord-269711-tw5armh8 75 16 2006 2006 CD cord-269711-tw5armh8 75 17 ) ) -RRB- cord-269711-tw5armh8 75 18 , , , cord-269711-tw5armh8 75 19 but but CC cord-269711-tw5armh8 75 20 as as IN cord-269711-tw5armh8 75 21 will will MD cord-269711-tw5armh8 75 22 be be VB cord-269711-tw5armh8 75 23 shown show VBN cord-269711-tw5armh8 75 24 , , , cord-269711-tw5armh8 75 25 when when WRB cord-269711-tw5armh8 75 26 taking take VBG cord-269711-tw5armh8 75 27 topology topology NN cord-269711-tw5armh8 75 28 into into IN cord-269711-tw5armh8 75 29 account account NN cord-269711-tw5armh8 75 30 , , , cord-269711-tw5armh8 75 31 they -PRON- PRP cord-269711-tw5armh8 75 32 are be VBP cord-269711-tw5armh8 75 33 completely completely RB cord-269711-tw5armh8 75 34 different different JJ cord-269711-tw5armh8 75 35 . . . cord-269711-tw5armh8 76 1 We -PRON- PRP cord-269711-tw5armh8 76 2 end end VBP cord-269711-tw5armh8 76 3 with with IN cord-269711-tw5armh8 76 4 conclusions conclusion NNS cord-269711-tw5armh8 76 5 in in IN cord-269711-tw5armh8 76 6 Section section NN cord-269711-tw5armh8 76 7 5 5 CD cord-269711-tw5armh8 76 8 . . . cord-269711-tw5armh8 76 9 . . . cord-269711-tw5armh8 77 1 On on IN cord-269711-tw5armh8 77 2 all all DT cord-269711-tw5armh8 77 3 networks network NNS cord-269711-tw5armh8 77 4 , , , cord-269711-tw5armh8 77 5 the the DT cord-269711-tw5armh8 77 6 average average JJ cord-269711-tw5armh8 77 7 degree degree NN cord-269711-tw5armh8 77 8 is be VBZ cord-269711-tw5armh8 77 9 5 5 CD cord-269711-tw5armh8 77 10 , , , cord-269711-tw5armh8 77 11 the the DT cord-269711-tw5armh8 77 12 population population NN cord-269711-tw5armh8 77 13 size size NN cord-269711-tw5armh8 77 14 is be VBZ cord-269711-tw5armh8 77 15 200,000 200,000 CD cord-269711-tw5armh8 77 16 , , , cord-269711-tw5armh8 77 17 the the DT cord-269711-tw5armh8 77 18 transmission transmission NN cord-269711-tw5armh8 77 19 rate rate NN cord-269711-tw5armh8 77 20 is be VBZ cord-269711-tw5armh8 77 21 0.06 0.06 CD cord-269711-tw5armh8 77 22 , , , cord-269711-tw5armh8 77 23 the the DT cord-269711-tw5armh8 77 24 recovery recovery NN cord-269711-tw5armh8 77 25 rate rate NN cord-269711-tw5armh8 77 26 is be VBZ cord-269711-tw5armh8 77 27 0.2 0.2 CD cord-269711-tw5armh8 77 28 , , , cord-269711-tw5armh8 77 29 and and CC cord-269711-tw5armh8 77 30 the the DT cord-269711-tw5armh8 77 31 initial initial JJ cord-269711-tw5armh8 77 32 number number NN cord-269711-tw5armh8 77 33 of of IN cord-269711-tw5armh8 77 34 infectious infectious JJ cord-269711-tw5armh8 77 35 individuals individual NNS cord-269711-tw5armh8 77 36 is be VBZ cord-269711-tw5armh8 77 37 set set VBN cord-269711-tw5armh8 77 38 to to IN cord-269711-tw5armh8 77 39 100 100 CD cord-269711-tw5armh8 77 40 . . . cord-269711-tw5armh8 78 1 Both both DT cord-269711-tw5armh8 78 2 graphs graph NNS cord-269711-tw5armh8 78 3 represent represent VBP cord-269711-tw5armh8 78 4 the the DT cord-269711-tw5armh8 78 5 same same JJ cord-269711-tw5armh8 78 6 data datum NNS cord-269711-tw5armh8 78 7 but but CC cord-269711-tw5armh8 78 8 the the DT cord-269711-tw5armh8 78 9 left left JJ cord-269711-tw5armh8 78 10 graph graph NN cord-269711-tw5armh8 78 11 has have VBZ cord-269711-tw5armh8 78 12 a a DT cord-269711-tw5armh8 78 13 semi semi JJ cord-269711-tw5armh8 78 14 - - JJ cord-269711-tw5armh8 78 15 log log JJ cord-269711-tw5armh8 78 16 scale scale NN cord-269711-tw5armh8 78 17 ( ( -LRB- cord-269711-tw5armh8 78 18 highlighting highlight VBG cord-269711-tw5armh8 78 19 the the DT cord-269711-tw5armh8 78 20 growth growth NN cord-269711-tw5armh8 78 21 phase phase NN cord-269711-tw5armh8 78 22 ) ) -RRB- cord-269711-tw5armh8 78 23 while while IN cord-269711-tw5armh8 78 24 the the DT cord-269711-tw5armh8 78 25 right right JJ cord-269711-tw5armh8 78 26 graph graph NN cord-269711-tw5armh8 78 27 has have VBZ cord-269711-tw5armh8 78 28 a a DT cord-269711-tw5armh8 78 29 linear linear JJ cord-269711-tw5armh8 78 30 scale scale NN cord-269711-tw5armh8 78 31 ( ( -LRB- cord-269711-tw5armh8 78 32 highlighting highlight VBG cord-269711-tw5armh8 78 33 the the DT cord-269711-tw5armh8 78 34 peak peak NN cord-269711-tw5armh8 78 35 ) ) -RRB- cord-269711-tw5armh8 78 36 . . . cord-269711-tw5armh8 79 1 ( ( -LRB- cord-269711-tw5armh8 79 2 b b NN cord-269711-tw5armh8 79 3 ) ) -RRB- cord-269711-tw5armh8 79 4 ) ) -RRB- cord-269711-tw5armh8 79 5 on on IN cord-269711-tw5armh8 79 6 networks network NNS cord-269711-tw5armh8 79 7 with with IN cord-269711-tw5armh8 79 8 identical identical JJ cord-269711-tw5armh8 79 9 disease disease NN cord-269711-tw5armh8 79 10 parameters parameter NNS cord-269711-tw5armh8 79 11 and and CC cord-269711-tw5armh8 79 12 degree degree NN cord-269711-tw5armh8 79 13 distribution distribution NN cord-269711-tw5armh8 79 14 ( ( -LRB- cord-269711-tw5armh8 79 15 as as IN cord-269711-tw5armh8 79 16 shown show VBN cord-269711-tw5armh8 79 17 in in IN cord-269711-tw5armh8 79 18 ( ( -LRB- cord-269711-tw5armh8 79 19 a a NN cord-269711-tw5armh8 79 20 ) ) -RRB- cord-269711-tw5armh8 79 21 ) ) -RRB- cord-269711-tw5armh8 79 22 . . . cord-269711-tw5armh8 80 1 The the DT cord-269711-tw5armh8 80 2 network network NN cord-269711-tw5armh8 80 3 topologies topology NNS cord-269711-tw5armh8 80 4 are be VBP cord-269711-tw5armh8 80 5 the the DT cord-269711-tw5armh8 80 6 random random JJ cord-269711-tw5armh8 80 7 , , , cord-269711-tw5armh8 80 8 meta meta JJ cord-269711-tw5armh8 80 9 - - HYPH cord-269711-tw5armh8 80 10 random random JJ cord-269711-tw5armh8 80 11 , , , cord-269711-tw5armh8 80 12 and and CC cord-269711-tw5armh8 80 13 near near IN cord-269711-tw5armh8 80 14 neighbor neighbor NN cord-269711-tw5armh8 80 15 networks network NNS cord-269711-tw5armh8 80 16 . . . cord-269711-tw5armh8 81 1 See see VB cord-269711-tw5armh8 81 2 Appendix Appendix NNP cord-269711-tw5armh8 81 3 B B NNP cord-269711-tw5armh8 81 4 for for IN cord-269711-tw5armh8 81 5 details detail NNS cord-269711-tw5armh8 81 6 of of IN cord-269711-tw5armh8 81 7 the the DT cord-269711-tw5armh8 81 8 constructions construction NNS cord-269711-tw5armh8 81 9 of of IN cord-269711-tw5armh8 81 10 these these DT cord-269711-tw5armh8 81 11 networks network NNS cord-269711-tw5armh8 81 12 . . . cord-269711-tw5armh8 82 1 Detailed detailed JJ cord-269711-tw5armh8 82 2 network network NN cord-269711-tw5armh8 82 3 topologies topology NNS cord-269711-tw5armh8 82 4 for for IN cord-269711-tw5armh8 82 5 human human JJ cord-269711-tw5armh8 82 6 populations population NNS cord-269711-tw5armh8 82 7 are be VBP cord-269711-tw5armh8 82 8 far far RB cord-269711-tw5armh8 82 9 from from IN cord-269711-tw5armh8 82 10 known know VBN cord-269711-tw5armh8 82 11 . . . cord-269711-tw5armh8 83 1 However however RB cord-269711-tw5armh8 83 2 , , , cord-269711-tw5armh8 83 3 this this DT cord-269711-tw5armh8 83 4 detailed detailed JJ cord-269711-tw5armh8 83 5 knowledge knowledge NN cord-269711-tw5armh8 83 6 may may MD cord-269711-tw5armh8 83 7 not not RB cord-269711-tw5armh8 83 8 be be VB cord-269711-tw5armh8 83 9 required require VBN cord-269711-tw5armh8 83 10 when when WRB cord-269711-tw5armh8 83 11 the the DT cord-269711-tw5armh8 83 12 main main JJ cord-269711-tw5armh8 83 13 objective objective NN cord-269711-tw5armh8 83 14 is be VBZ cord-269711-tw5armh8 83 15 to to TO cord-269711-tw5armh8 83 16 assert assert VB cord-269711-tw5armh8 83 17 the the DT cord-269711-tw5armh8 83 18 impact impact NN cord-269711-tw5armh8 83 19 that that WDT cord-269711-tw5armh8 83 20 topology topology NN cord-269711-tw5armh8 83 21 has have VBZ cord-269711-tw5armh8 83 22 on on IN cord-269711-tw5armh8 83 23 the the DT cord-269711-tw5armh8 83 24 spread spread NN cord-269711-tw5armh8 83 25 of of IN cord-269711-tw5armh8 83 26 a a DT cord-269711-tw5armh8 83 27 disease disease NN cord-269711-tw5armh8 83 28 and and CC cord-269711-tw5armh8 83 29 on on IN cord-269711-tw5armh8 83 30 the the DT cord-269711-tw5armh8 83 31 effects effect NNS cord-269711-tw5armh8 83 32 of of IN cord-269711-tw5armh8 83 33 vaccination vaccination NN cord-269711-tw5armh8 83 34 . . . cord-269711-tw5armh8 84 1 It -PRON- PRP cord-269711-tw5armh8 84 2 may may MD cord-269711-tw5armh8 84 3 be be VB cord-269711-tw5armh8 84 4 sufficient sufficient JJ cord-269711-tw5armh8 84 5 to to TO cord-269711-tw5armh8 84 6 consider consider VB cord-269711-tw5armh8 84 7 a a DT cord-269711-tw5armh8 84 8 number number NN cord-269711-tw5armh8 84 9 of of IN cord-269711-tw5armh8 84 10 representative representative JJ cord-269711-tw5armh8 84 11 network network NN cord-269711-tw5armh8 84 12 topologies topology NNS cord-269711-tw5armh8 84 13 that that WDT cord-269711-tw5armh8 84 14 , , , cord-269711-tw5armh8 84 15 at at IN cord-269711-tw5armh8 84 16 least least JJS cord-269711-tw5armh8 84 17 to to IN cord-269711-tw5armh8 84 18 some some DT cord-269711-tw5armh8 84 19 extent extent NN cord-269711-tw5armh8 84 20 , , , cord-269711-tw5armh8 84 21 can can MD cord-269711-tw5armh8 84 22 be be VB cord-269711-tw5armh8 84 23 found find VBN cord-269711-tw5armh8 84 24 in in IN cord-269711-tw5armh8 84 25 the the DT cord-269711-tw5armh8 84 26 actual actual JJ cord-269711-tw5armh8 84 27 population population NN cord-269711-tw5armh8 84 28 . . . cord-269711-tw5armh8 85 1 Here here RB cord-269711-tw5armh8 85 2 , , , cord-269711-tw5armh8 85 3 we -PRON- PRP cord-269711-tw5armh8 85 4 consider consider VBP cord-269711-tw5armh8 85 5 the the DT cord-269711-tw5armh8 85 6 four four CD cord-269711-tw5armh8 85 7 topologies topology NNS cord-269711-tw5armh8 85 8 listed list VBN cord-269711-tw5armh8 85 9 in in IN cord-269711-tw5armh8 85 10 Table Table NNP cord-269711-tw5armh8 85 11 1 1 CD cord-269711-tw5armh8 85 12 , , , cord-269711-tw5armh8 85 13 which which WDT cord-269711-tw5armh8 85 14 we -PRON- PRP cord-269711-tw5armh8 85 15 now now RB cord-269711-tw5armh8 85 16 briefly briefly RB cord-269711-tw5armh8 85 17 describe describe VBP cord-269711-tw5armh8 85 18 . . . cord-269711-tw5armh8 86 1 In in IN cord-269711-tw5armh8 86 2 the the DT cord-269711-tw5armh8 86 3 random random JJ cord-269711-tw5armh8 86 4 network network NN cord-269711-tw5armh8 86 5 , , , cord-269711-tw5armh8 86 6 nodes node NNS cord-269711-tw5armh8 86 7 are be VBP cord-269711-tw5armh8 86 8 connected connect VBN cord-269711-tw5armh8 86 9 with with IN cord-269711-tw5armh8 86 10 equal equal JJ cord-269711-tw5armh8 86 11 probability probability NN cord-269711-tw5armh8 86 12 yielding yield VBG cord-269711-tw5armh8 86 13 a a DT cord-269711-tw5armh8 86 14 Poisson Poisson NNP cord-269711-tw5armh8 86 15 degree degree NN cord-269711-tw5armh8 86 16 distribution distribution NN cord-269711-tw5armh8 86 17 . . . cord-269711-tw5armh8 87 1 In in IN cord-269711-tw5armh8 87 2 a a DT cord-269711-tw5armh8 87 3 scale scale NN cord-269711-tw5armh8 87 4 - - HYPH cord-269711-tw5armh8 87 5 free free JJ cord-269711-tw5armh8 87 6 network network NN cord-269711-tw5armh8 87 7 , , , cord-269711-tw5armh8 87 8 small small JJ cord-269711-tw5armh8 87 9 number number NN cord-269711-tw5armh8 87 10 of of IN cord-269711-tw5armh8 87 11 nodes node NNS cord-269711-tw5armh8 87 12 have have VBP cord-269711-tw5armh8 87 13 a a DT cord-269711-tw5armh8 87 14 very very RB cord-269711-tw5armh8 87 15 large large JJ cord-269711-tw5armh8 87 16 number number NN cord-269711-tw5armh8 87 17 of of IN cord-269711-tw5armh8 87 18 links link NNS cord-269711-tw5armh8 87 19 and and CC cord-269711-tw5armh8 87 20 large large JJ cord-269711-tw5armh8 87 21 number number NN cord-269711-tw5armh8 87 22 of of IN cord-269711-tw5armh8 87 23 nodes node NNS cord-269711-tw5armh8 87 24 have have VBP cord-269711-tw5armh8 87 25 a a DT cord-269711-tw5armh8 87 26 small small JJ cord-269711-tw5armh8 87 27 number number NN cord-269711-tw5armh8 87 28 of of IN cord-269711-tw5armh8 87 29 links link NNS cord-269711-tw5armh8 87 30 such such JJ cord-269711-tw5armh8 87 31 that that IN cord-269711-tw5armh8 87 32 the the DT cord-269711-tw5armh8 87 33 degree degree NN cord-269711-tw5armh8 87 34 distribution distribution NN cord-269711-tw5armh8 87 35 follows follow VBZ cord-269711-tw5armh8 87 36 a a DT cord-269711-tw5armh8 87 37 power power NN cord-269711-tw5armh8 87 38 law law NN cord-269711-tw5armh8 87 39 . . . cord-269711-tw5armh8 88 1 Small small JJ cord-269711-tw5armh8 88 2 world world NN cord-269711-tw5armh8 88 3 ( ( -LRB- cord-269711-tw5armh8 88 4 SW SW NNP cord-269711-tw5armh8 88 5 ) ) -RRB- cord-269711-tw5armh8 88 6 networks network NNS cord-269711-tw5armh8 88 7 are be VBP cord-269711-tw5armh8 88 8 constructed construct VBN cord-269711-tw5armh8 88 9 by by IN cord-269711-tw5armh8 88 10 adding add VBG cord-269711-tw5armh8 88 11 links link NNS cord-269711-tw5armh8 88 12 between between IN cord-269711-tw5armh8 88 13 randomly randomly RB cord-269711-tw5armh8 88 14 chosen choose VBN cord-269711-tw5armh8 88 15 nodes node NNS cord-269711-tw5armh8 88 16 on on IN cord-269711-tw5armh8 88 17 networks network NNS cord-269711-tw5armh8 88 18 in in IN cord-269711-tw5armh8 88 19 which which WDT cord-269711-tw5armh8 88 20 nodes node NNS cord-269711-tw5armh8 88 21 are be VBP cord-269711-tw5armh8 88 22 connected connect VBN cord-269711-tw5armh8 88 23 to to IN cord-269711-tw5armh8 88 24 the the DT cord-269711-tw5armh8 88 25 nearest near JJS cord-269711-tw5armh8 88 26 neighbors neighbor NNS cord-269711-tw5armh8 88 27 . . . cord-269711-tw5armh8 89 1 The the DT cord-269711-tw5armh8 89 2 last last JJ cord-269711-tw5armh8 89 3 network network NN cord-269711-tw5armh8 89 4 considered consider VBN cord-269711-tw5armh8 89 5 is be VBZ cord-269711-tw5armh8 89 6 what what WP cord-269711-tw5armh8 89 7 we -PRON- PRP cord-269711-tw5armh8 89 8 term term VBP cord-269711-tw5armh8 89 9 a a DT cord-269711-tw5armh8 89 10 meta meta JJ cord-269711-tw5armh8 89 11 - - HYPH cord-269711-tw5armh8 89 12 random random JJ cord-269711-tw5armh8 89 13 network network NN cord-269711-tw5armh8 89 14 where where WRB cord-269711-tw5armh8 89 15 random random JJ cord-269711-tw5armh8 89 16 networks network NNS cord-269711-tw5armh8 89 17 of of IN cord-269711-tw5armh8 89 18 various various JJ cord-269711-tw5armh8 89 19 sizes size NNS cord-269711-tw5armh8 89 20 are be VBP cord-269711-tw5armh8 89 21 connected connect VBN cord-269711-tw5armh8 89 22 with with IN cord-269711-tw5armh8 89 23 a a DT cord-269711-tw5armh8 89 24 small small JJ cord-269711-tw5armh8 89 25 number number NN cord-269711-tw5armh8 89 26 of of IN cord-269711-tw5armh8 89 27 interlinks interlink NNS cord-269711-tw5armh8 89 28 . . . cord-269711-tw5armh8 90 1 All all DT cord-269711-tw5armh8 90 2 networks network NNS cord-269711-tw5armh8 90 3 are be VBP cord-269711-tw5armh8 90 4 undirected undirected JJ cord-269711-tw5armh8 90 5 with with IN cord-269711-tw5armh8 90 6 no no DT cord-269711-tw5armh8 90 7 self self NN cord-269711-tw5armh8 90 8 loops loop NNS cord-269711-tw5armh8 90 9 or or CC cord-269711-tw5armh8 90 10 multiple multiple JJ cord-269711-tw5armh8 90 11 links link NNS cord-269711-tw5armh8 90 12 . . . cord-269711-tw5armh8 91 1 The the DT cord-269711-tw5armh8 91 2 histograms histogram NNS cord-269711-tw5armh8 91 3 of of IN cord-269711-tw5armh8 91 4 the the DT cord-269711-tw5armh8 91 5 networks network NNS cord-269711-tw5armh8 91 6 are be VBP cord-269711-tw5armh8 91 7 shown show VBN cord-269711-tw5armh8 91 8 in in IN cord-269711-tw5armh8 91 9 Table Table NNP cord-269711-tw5armh8 91 10 2 2 CD cord-269711-tw5armh8 91 11 , , , cord-269711-tw5armh8 91 12 and and CC cord-269711-tw5armh8 91 13 the the DT cord-269711-tw5armh8 91 14 details detail NNS cord-269711-tw5armh8 91 15 of of IN cord-269711-tw5armh8 91 16 their -PRON- PRP$ cord-269711-tw5armh8 91 17 construction construction NN cord-269711-tw5armh8 91 18 are be VBP cord-269711-tw5armh8 91 19 given give VBN cord-269711-tw5armh8 91 20 in in IN cord-269711-tw5armh8 91 21 Appendix Appendix NNP cord-269711-tw5armh8 91 22 B. B. NNP cord-269711-tw5armh8 92 1 The the DT cord-269711-tw5armh8 92 2 vaccination vaccination NN cord-269711-tw5armh8 92 3 strategies strategy NNS cord-269711-tw5armh8 92 4 considered consider VBN cord-269711-tw5armh8 92 5 are be VBP cord-269711-tw5armh8 92 6 summarized summarize VBN cord-269711-tw5armh8 92 7 in in IN cord-269711-tw5armh8 92 8 Table Table NNP cord-269711-tw5armh8 92 9 3 3 CD cord-269711-tw5armh8 92 10 . . . cord-269711-tw5armh8 93 1 In in IN cord-269711-tw5armh8 93 2 the the DT cord-269711-tw5armh8 93 3 random random JJ cord-269711-tw5armh8 93 4 strategy strategy NN cord-269711-tw5armh8 93 5 , , , cord-269711-tw5armh8 93 6 an an DT cord-269711-tw5armh8 93 7 eligible eligible JJ cord-269711-tw5armh8 93 8 node node NN cord-269711-tw5armh8 93 9 is be VBZ cord-269711-tw5armh8 93 10 randomly randomly RB cord-269711-tw5armh8 93 11 chosen choose VBN cord-269711-tw5armh8 93 12 and and CC cord-269711-tw5armh8 93 13 vaccinated vaccinate VBN cord-269711-tw5armh8 93 14 . . . cord-269711-tw5armh8 94 1 In in IN cord-269711-tw5armh8 94 2 the the DT cord-269711-tw5armh8 94 3 prioritized prioritize VBN cord-269711-tw5armh8 94 4 strategy strategy NN cord-269711-tw5armh8 94 5 , , , cord-269711-tw5armh8 94 6 nodes node NNS cord-269711-tw5armh8 94 7 with with IN cord-269711-tw5armh8 94 8 the the DT cord-269711-tw5armh8 94 9 highest high JJS cord-269711-tw5armh8 94 10 degrees degree NNS cord-269711-tw5armh8 94 11 are be VBP cord-269711-tw5armh8 94 12 vaccinated vaccinate VBN cord-269711-tw5armh8 94 13 first first RB cord-269711-tw5armh8 94 14 , , , cord-269711-tw5armh8 94 15 while while IN cord-269711-tw5armh8 94 16 in in IN cord-269711-tw5armh8 94 17 the the DT cord-269711-tw5armh8 94 18 follow follow NN cord-269711-tw5armh8 94 19 links link NNS cord-269711-tw5armh8 94 20 strategy strategy NN cord-269711-tw5armh8 94 21 , , , cord-269711-tw5armh8 94 22 inspired inspire VBN cord-269711-tw5armh8 94 23 by by IN cord-269711-tw5armh8 94 24 notions notion NNS cord-269711-tw5armh8 94 25 from from IN cord-269711-tw5armh8 94 26 social social JJ cord-269711-tw5armh8 94 27 networks network NNS cord-269711-tw5armh8 94 28 , , , cord-269711-tw5armh8 94 29 a a DT cord-269711-tw5armh8 94 30 randomly randomly RB cord-269711-tw5armh8 94 31 chosen choose VBN cord-269711-tw5armh8 94 32 susceptible susceptible JJ cord-269711-tw5armh8 94 33 node node NN cord-269711-tw5armh8 94 34 is be VBZ cord-269711-tw5armh8 94 35 vaccinated vaccinate VBN cord-269711-tw5armh8 94 36 and and CC cord-269711-tw5armh8 94 37 then then RB cord-269711-tw5armh8 94 38 all all PDT cord-269711-tw5armh8 94 39 its -PRON- PRP$ cord-269711-tw5armh8 94 40 neighbors neighbor NNS cord-269711-tw5armh8 94 41 and and CC cord-269711-tw5armh8 94 42 then then RB cord-269711-tw5armh8 94 43 its -PRON- PRP$ cord-269711-tw5armh8 94 44 neighbor neighbor NN cord-269711-tw5armh8 94 45 's 's POS cord-269711-tw5armh8 94 46 neighbors neighbor NNS cord-269711-tw5armh8 94 47 and and CC cord-269711-tw5armh8 94 48 so so RB cord-269711-tw5armh8 94 49 on on RB cord-269711-tw5armh8 94 50 . . . cord-269711-tw5armh8 95 1 Finally finally RB cord-269711-tw5armh8 95 2 , , , cord-269711-tw5armh8 95 3 in in IN cord-269711-tw5armh8 95 4 contact contact NN cord-269711-tw5armh8 95 5 tracing tracing NN cord-269711-tw5armh8 95 6 , , , cord-269711-tw5armh8 95 7 the the DT cord-269711-tw5armh8 95 8 neighbors neighbor NNS cord-269711-tw5armh8 95 9 of of IN cord-269711-tw5armh8 95 10 infectious infectious JJ cord-269711-tw5armh8 95 11 nodes node NNS cord-269711-tw5armh8 95 12 are be VBP cord-269711-tw5armh8 95 13 vaccinated vaccinate VBN cord-269711-tw5armh8 95 14 . . . cord-269711-tw5armh8 96 1 For for IN cord-269711-tw5armh8 96 2 all all PDT cord-269711-tw5armh8 96 3 the the DT cord-269711-tw5armh8 96 4 strategies strategy NNS cord-269711-tw5armh8 96 5 , , , cord-269711-tw5armh8 96 6 vaccination vaccination NN cord-269711-tw5armh8 96 7 is be VBZ cord-269711-tw5armh8 96 8 voluntary voluntary JJ cord-269711-tw5armh8 96 9 and and CC cord-269711-tw5armh8 96 10 quantity quantity NN cord-269711-tw5armh8 96 11 limited limit VBN cord-269711-tw5armh8 96 12 . . . cord-269711-tw5armh8 97 1 That that RB cord-269711-tw5armh8 97 2 is is RB cord-269711-tw5armh8 97 3 , , , cord-269711-tw5armh8 97 4 only only RB cord-269711-tw5armh8 97 5 susceptibles susceptible NNS cord-269711-tw5armh8 97 6 who who WP cord-269711-tw5armh8 97 7 do do VBP cord-269711-tw5armh8 97 8 not not RB cord-269711-tw5armh8 97 9 refuse refuse VB cord-269711-tw5armh8 97 10 vaccination vaccination NN cord-269711-tw5armh8 97 11 are be VBP cord-269711-tw5armh8 97 12 vaccinated vaccinate VBN cord-269711-tw5armh8 97 13 and and CC cord-269711-tw5armh8 97 14 each each DT cord-269711-tw5armh8 97 15 day day NN cord-269711-tw5armh8 97 16 only only RB cord-269711-tw5armh8 97 17 a a DT cord-269711-tw5armh8 97 18 certain certain JJ cord-269711-tw5armh8 97 19 number number NN cord-269711-tw5armh8 97 20 of of IN cord-269711-tw5armh8 97 21 doses dose NNS cord-269711-tw5armh8 97 22 is be VBZ cord-269711-tw5armh8 97 23 available available JJ cord-269711-tw5armh8 97 24 . . . cord-269711-tw5armh8 98 1 In in IN cord-269711-tw5armh8 98 2 the the DT cord-269711-tw5armh8 98 3 case case NN cord-269711-tw5armh8 98 4 of of IN cord-269711-tw5armh8 98 5 ( ( -LRB- cord-269711-tw5armh8 98 6 relatively relatively RB cord-269711-tw5armh8 98 7 ) ) -RRB- cord-269711-tw5armh8 98 8 new new JJ cord-269711-tw5armh8 98 9 viral viral JJ cord-269711-tw5armh8 98 10 diseases disease NNS cord-269711-tw5armh8 98 11 , , , cord-269711-tw5armh8 98 12 the the DT cord-269711-tw5armh8 98 13 supply supply NN cord-269711-tw5armh8 98 14 of of IN cord-269711-tw5armh8 98 15 vaccines vaccine NNS cord-269711-tw5armh8 98 16 will will MD cord-269711-tw5armh8 98 17 almost almost RB cord-269711-tw5armh8 98 18 certainly certainly RB cord-269711-tw5armh8 98 19 be be VB cord-269711-tw5armh8 98 20 constrained constrain VBN cord-269711-tw5armh8 98 21 , , , cord-269711-tw5armh8 98 22 as as IN cord-269711-tw5armh8 98 23 was be VBD cord-269711-tw5armh8 98 24 the the DT cord-269711-tw5armh8 98 25 case case NN cord-269711-tw5armh8 98 26 for for IN cord-269711-tw5armh8 98 27 the the DT cord-269711-tw5armh8 98 28 pandemic pandemic NN cord-269711-tw5armh8 98 29 influenza influenza NN cord-269711-tw5armh8 98 30 H1N1/09 h1n1/09 JJ cord-269711-tw5armh8 98 31 virus virus NN cord-269711-tw5armh8 98 32 . . . cord-269711-tw5armh8 99 1 Also also RB cord-269711-tw5armh8 99 2 in in IN cord-269711-tw5armh8 99 3 the the DT cord-269711-tw5armh8 99 4 case case NN cord-269711-tw5armh8 99 5 of of IN cord-269711-tw5armh8 99 6 mass mass JJ cord-269711-tw5armh8 99 7 vaccinations vaccination NNS cord-269711-tw5armh8 99 8 , , , cord-269711-tw5armh8 99 9 there there EX cord-269711-tw5armh8 99 10 will will MD cord-269711-tw5armh8 99 11 be be VB cord-269711-tw5armh8 99 12 resource resource NN cord-269711-tw5armh8 99 13 limitations limitation NNS cord-269711-tw5armh8 99 14 with with IN cord-269711-tw5armh8 99 15 regard regard NN cord-269711-tw5armh8 99 16 to to IN cord-269711-tw5armh8 99 17 how how WRB cord-269711-tw5armh8 99 18 many many JJ cord-269711-tw5armh8 99 19 doses dose NNS cord-269711-tw5armh8 99 20 can can MD cord-269711-tw5armh8 99 21 be be VB cord-269711-tw5armh8 99 22 administered administer VBN cord-269711-tw5armh8 99 23 per per IN cord-269711-tw5armh8 99 24 day day NN cord-269711-tw5armh8 99 25 . . . cord-269711-tw5armh8 100 1 The the DT cord-269711-tw5armh8 100 2 report report NN cord-269711-tw5armh8 100 3 ( ( -LRB- cord-269711-tw5armh8 100 4 Office Office NNP cord-269711-tw5armh8 100 5 of of IN cord-269711-tw5armh8 100 6 the the DT cord-269711-tw5armh8 100 7 Provincial Provincial NNP cord-269711-tw5armh8 100 8 Health Health NNP cord-269711-tw5armh8 100 9 Officer Officer NNP cord-269711-tw5armh8 100 10 , , , cord-269711-tw5armh8 100 11 2010 2010 CD cord-269711-tw5armh8 100 12 ) ) -RRB- cord-269711-tw5armh8 100 13 states state VBZ cord-269711-tw5armh8 100 14 that that IN cord-269711-tw5armh8 100 15 the the DT cord-269711-tw5armh8 100 16 vaccination vaccination NN cord-269711-tw5armh8 100 17 program program NN cord-269711-tw5armh8 100 18 was be VBD cord-269711-tw5armh8 100 19 prioritized prioritize VBN cord-269711-tw5armh8 100 20 and and CC cord-269711-tw5armh8 100 21 it -PRON- PRP cord-269711-tw5armh8 100 22 took take VBD cord-269711-tw5armh8 100 23 3 3 CD cord-269711-tw5armh8 100 24 weeks week NNS cord-269711-tw5armh8 100 25 before before IN cord-269711-tw5armh8 100 26 the the DT cord-269711-tw5armh8 100 27 general general JJ cord-269711-tw5armh8 100 28 population population NN cord-269711-tw5armh8 100 29 had have VBD cord-269711-tw5armh8 100 30 access access NN cord-269711-tw5armh8 100 31 to to IN cord-269711-tw5armh8 100 32 vaccination vaccination NN cord-269711-tw5armh8 100 33 . . . cord-269711-tw5armh8 101 1 Thus thus RB cord-269711-tw5armh8 101 2 we -PRON- PRP cord-269711-tw5armh8 101 3 assume assume VBP cord-269711-tw5armh8 101 4 that that IN cord-269711-tw5armh8 101 5 a a DT cord-269711-tw5armh8 101 6 vaccination vaccination NN cord-269711-tw5armh8 101 7 program program NN cord-269711-tw5armh8 101 8 can can MD cord-269711-tw5armh8 101 9 be be VB cord-269711-tw5armh8 101 10 completed complete VBN cord-269711-tw5armh8 101 11 in in IN cord-269711-tw5armh8 101 12 4 4 CD cord-269711-tw5armh8 101 13 - - SYM cord-269711-tw5armh8 101 14 6 6 CD cord-269711-tw5armh8 101 15 weeks week NNS cord-269711-tw5armh8 101 16 or or CC cord-269711-tw5armh8 101 17 about about RB cord-269711-tw5armh8 101 18 40 40 CD cord-269711-tw5armh8 101 19 days day NNS cord-269711-tw5armh8 101 20 , , , cord-269711-tw5armh8 101 21 this this DT cord-269711-tw5armh8 101 22 means mean VBZ cord-269711-tw5armh8 101 23 that that IN cord-269711-tw5armh8 101 24 for for IN cord-269711-tw5armh8 101 25 a a DT cord-269711-tw5armh8 101 26 population population NN cord-269711-tw5armh8 101 27 of of IN cord-269711-tw5armh8 101 28 200,000 200,000 CD cord-269711-tw5armh8 101 29 , , , cord-269711-tw5armh8 101 30 a a DT cord-269711-tw5armh8 101 31 maximum maximum NN cord-269711-tw5armh8 101 32 of of IN cord-269711-tw5armh8 101 33 5000 5000 CD cord-269711-tw5armh8 101 34 doses dose NNS cord-269711-tw5armh8 101 35 a a DT cord-269711-tw5armh8 101 36 day day NN cord-269711-tw5armh8 101 37 can can MD cord-269711-tw5armh8 101 38 be be VB cord-269711-tw5armh8 101 39 used use VBN cord-269711-tw5armh8 101 40 . . . cord-269711-tw5armh8 102 1 For for IN cord-269711-tw5armh8 102 2 each each DT cord-269711-tw5armh8 102 3 strategy strategy NN cord-269711-tw5armh8 102 4 for for IN cord-269711-tw5armh8 102 5 each each DT cord-269711-tw5armh8 102 6 time time NN cord-269711-tw5armh8 102 7 unit unit NN cord-269711-tw5armh8 102 8 , , , cord-269711-tw5armh8 102 9 first first RB cord-269711-tw5armh8 102 10 a a DT cord-269711-tw5armh8 102 11 group group NN cord-269711-tw5armh8 102 12 of of IN cord-269711-tw5armh8 102 13 eligible eligible JJ cord-269711-tw5armh8 102 14 nodes node NNS cord-269711-tw5armh8 102 15 is be VBZ cord-269711-tw5armh8 102 16 identified identify VBN cord-269711-tw5armh8 102 17 and and CC cord-269711-tw5armh8 102 18 then then RB cord-269711-tw5armh8 102 19 up up IN cord-269711-tw5armh8 102 20 to to IN cord-269711-tw5armh8 102 21 the the DT cord-269711-tw5armh8 102 22 maximum maximum JJ cord-269711-tw5armh8 102 23 number number NN cord-269711-tw5armh8 102 24 of of IN cord-269711-tw5armh8 102 25 doses dose NNS cord-269711-tw5armh8 102 26 is be VBZ cord-269711-tw5armh8 102 27 dispensed dispense VBN cord-269711-tw5armh8 102 28 among among IN cord-269711-tw5armh8 102 29 the the DT cord-269711-tw5armh8 102 30 eligible eligible JJ cord-269711-tw5armh8 102 31 nodes node NNS cord-269711-tw5armh8 102 32 according accord VBG cord-269711-tw5armh8 102 33 to to IN cord-269711-tw5armh8 102 34 the the DT cord-269711-tw5armh8 102 35 strategy strategy NN cord-269711-tw5armh8 102 36 chosen choose VBN cord-269711-tw5armh8 102 37 . . . cord-269711-tw5armh8 103 1 More More JJR cord-269711-tw5armh8 103 2 details detail NNS cord-269711-tw5armh8 103 3 of of IN cord-269711-tw5armh8 103 4 the the DT cord-269711-tw5armh8 103 5 vaccination vaccination NN cord-269711-tw5armh8 103 6 strategies strategy NNS cord-269711-tw5armh8 103 7 and and CC cord-269711-tw5armh8 103 8 their -PRON- PRP$ cord-269711-tw5armh8 103 9 motivations motivation NNS cord-269711-tw5armh8 103 10 are be VBP cord-269711-tw5armh8 103 11 given give VBN cord-269711-tw5armh8 103 12 in in IN cord-269711-tw5armh8 103 13 Appendix Appendix NNP cord-269711-tw5armh8 103 14 C. C. NNP cord-269711-tw5armh8 104 1 To to TO cord-269711-tw5armh8 104 2 study study VB cord-269711-tw5armh8 104 3 the the DT cord-269711-tw5armh8 104 4 effect effect NN cord-269711-tw5armh8 104 5 of of IN cord-269711-tw5armh8 104 6 delayed delay VBN cord-269711-tw5armh8 104 7 availability availability NN cord-269711-tw5armh8 104 8 of of IN cord-269711-tw5armh8 104 9 vaccines vaccine NNS cord-269711-tw5armh8 104 10 during during IN cord-269711-tw5armh8 104 11 an an DT cord-269711-tw5armh8 104 12 emerging emerge VBG cord-269711-tw5armh8 104 13 infectious infectious JJ cord-269711-tw5armh8 104 14 disease disease NN cord-269711-tw5armh8 104 15 , , , cord-269711-tw5armh8 104 16 we -PRON- PRP cord-269711-tw5armh8 104 17 compare compare VBP cord-269711-tw5armh8 104 18 the the DT cord-269711-tw5armh8 104 19 effect effect NN cord-269711-tw5armh8 104 20 of of IN cord-269711-tw5armh8 104 21 vaccination vaccination NN cord-269711-tw5armh8 104 22 programs program NNS cord-269711-tw5armh8 104 23 starting start VBG cord-269711-tw5armh8 104 24 on on IN cord-269711-tw5armh8 104 25 the the DT cord-269711-tw5armh8 104 26 first first JJ cord-269711-tw5armh8 104 27 day day NN cord-269711-tw5armh8 104 28 of of IN cord-269711-tw5armh8 104 29 the the DT cord-269711-tw5armh8 104 30 epidemic epidemic NN cord-269711-tw5armh8 104 31 with with IN cord-269711-tw5armh8 104 32 those those DT cord-269711-tw5armh8 104 33 vaccination vaccination NN cord-269711-tw5armh8 104 34 programs program NNS cord-269711-tw5armh8 104 35 starting start VBG cord-269711-tw5armh8 104 36 on on IN cord-269711-tw5armh8 104 37 different different JJ cord-269711-tw5armh8 104 38 days day NNS cord-269711-tw5armh8 104 39 . . . cord-269711-tw5armh8 105 1 These these DT cord-269711-tw5armh8 105 2 range range VBP cord-269711-tw5armh8 105 3 from from IN cord-269711-tw5armh8 105 4 5 5 CD cord-269711-tw5armh8 105 5 to to TO cord-269711-tw5armh8 105 6 150 150 CD cord-269711-tw5armh8 105 7 days day NNS cord-269711-tw5armh8 105 8 after after IN cord-269711-tw5armh8 105 9 the the DT cord-269711-tw5armh8 105 10 start start NN cord-269711-tw5armh8 105 11 of of IN cord-269711-tw5armh8 105 12 the the DT cord-269711-tw5armh8 105 13 epidemic epidemic NN cord-269711-tw5armh8 105 14 , , , cord-269711-tw5armh8 105 15 with with IN cord-269711-tw5armh8 105 16 an an DT cord-269711-tw5armh8 105 17 emphasis emphasis NN cord-269711-tw5armh8 105 18 on on IN cord-269711-tw5armh8 105 19 a a DT cord-269711-tw5armh8 105 20 40 40 CD cord-269711-tw5armh8 105 21 day day NN cord-269711-tw5armh8 105 22 delay delay NN cord-269711-tw5armh8 105 23 that that WDT cord-269711-tw5armh8 105 24 occurred occur VBD cord-269711-tw5armh8 105 25 in in IN cord-269711-tw5armh8 105 26 British British NNP cord-269711-tw5armh8 105 27 Columbia Columbia NNP cord-269711-tw5armh8 105 28 , , , cord-269711-tw5armh8 105 29 Canada Canada NNP cord-269711-tw5armh8 105 30 , , , cord-269711-tw5armh8 105 31 during during IN cord-269711-tw5armh8 105 32 the the DT cord-269711-tw5armh8 105 33 influenza influenza NN cord-269711-tw5armh8 105 34 H1N1/2009 h1n1/2009 NN cord-269711-tw5armh8 105 35 pandemic pandemic NN cord-269711-tw5armh8 105 36 . . . cord-269711-tw5armh8 106 1 When when WRB cord-269711-tw5armh8 106 2 a a DT cord-269711-tw5armh8 106 3 node node NN cord-269711-tw5armh8 106 4 is be VBZ cord-269711-tw5armh8 106 5 vaccinated vaccinate VBN cord-269711-tw5armh8 106 6 , , , cord-269711-tw5armh8 106 7 the the DT cord-269711-tw5armh8 106 8 vaccination vaccination NN cord-269711-tw5armh8 106 9 is be VBZ cord-269711-tw5armh8 106 10 considered consider VBN cord-269711-tw5armh8 106 11 to to TO cord-269711-tw5armh8 106 12 be be VB cord-269711-tw5armh8 106 13 ineffective ineffective JJ cord-269711-tw5armh8 106 14 in in IN cord-269711-tw5armh8 106 15 30 30 CD cord-269711-tw5armh8 106 16 % % NN cord-269711-tw5armh8 106 17 of of IN cord-269711-tw5armh8 106 18 the the DT cord-269711-tw5armh8 106 19 cases case NNS cord-269711-tw5armh8 107 1 ( ( -LRB- cord-269711-tw5armh8 107 2 Bansal Bansal NNP cord-269711-tw5armh8 107 3 et et NNP cord-269711-tw5armh8 107 4 al al NNP cord-269711-tw5armh8 107 5 . . NNP cord-269711-tw5armh8 107 6 , , , cord-269711-tw5armh8 107 7 2006 2006 CD cord-269711-tw5armh8 107 8 ) ) -RRB- cord-269711-tw5armh8 107 9 . . . cord-269711-tw5armh8 108 1 In in IN cord-269711-tw5armh8 108 2 such such JJ cord-269711-tw5armh8 108 3 cases case NNS cord-269711-tw5armh8 108 4 , , , cord-269711-tw5armh8 108 5 the the DT cord-269711-tw5armh8 108 6 vaccine vaccine NN cord-269711-tw5armh8 108 7 provides provide VBZ cord-269711-tw5armh8 108 8 no no DT cord-269711-tw5armh8 108 9 immunity immunity NN cord-269711-tw5armh8 108 10 at at RB cord-269711-tw5armh8 108 11 all all RB cord-269711-tw5armh8 108 12 . . . cord-269711-tw5armh8 109 1 For for IN cord-269711-tw5armh8 109 2 the the DT cord-269711-tw5armh8 109 3 70 70 CD cord-269711-tw5armh8 109 4 % % NN cord-269711-tw5armh8 109 5 of of IN cord-269711-tw5armh8 109 6 the the DT cord-269711-tw5armh8 109 7 nodes node NNS cord-269711-tw5armh8 109 8 for for IN cord-269711-tw5armh8 109 9 which which WDT cord-269711-tw5armh8 109 10 the the DT cord-269711-tw5armh8 109 11 vaccine vaccine NN cord-269711-tw5armh8 109 12 will will MD cord-269711-tw5armh8 109 13 be be VB cord-269711-tw5armh8 109 14 effective effective JJ cord-269711-tw5armh8 109 15 , , , cord-269711-tw5armh8 109 16 a a DT cord-269711-tw5armh8 109 17 two two CD cord-269711-tw5armh8 109 18 week week NN cord-269711-tw5armh8 109 19 span span NN cord-269711-tw5armh8 109 20 to to TO cord-269711-tw5armh8 109 21 reach reach VB cord-269711-tw5armh8 109 22 full full JJ cord-269711-tw5armh8 109 23 immunity immunity NN cord-269711-tw5armh8 109 24 is be VBZ cord-269711-tw5armh8 109 25 assumed assume VBN cord-269711-tw5armh8 110 1 ( ( -LRB- cord-269711-tw5armh8 110 2 Clark Clark NNP cord-269711-tw5armh8 110 3 et et NNP cord-269711-tw5armh8 110 4 al al NNP cord-269711-tw5armh8 110 5 . . NNP cord-269711-tw5armh8 110 6 , , , cord-269711-tw5armh8 110 7 2009 2009 CD cord-269711-tw5armh8 110 8 ) ) -RRB- cord-269711-tw5armh8 110 9 . . . cord-269711-tw5armh8 111 1 During during IN cord-269711-tw5armh8 111 2 the the DT cord-269711-tw5armh8 111 3 two two CD cord-269711-tw5armh8 111 4 weeks week NNS cord-269711-tw5armh8 111 5 , , , cord-269711-tw5armh8 111 6 we -PRON- PRP cord-269711-tw5armh8 111 7 assume assume VBP cord-269711-tw5armh8 111 8 that that IN cord-269711-tw5armh8 111 9 the the DT cord-269711-tw5armh8 111 10 immunity immunity NN cord-269711-tw5armh8 111 11 increases increase VBZ cord-269711-tw5armh8 111 12 linearly linearly RB cord-269711-tw5armh8 111 13 starting start VBG cord-269711-tw5armh8 111 14 with with IN cord-269711-tw5armh8 111 15 0 0 CD cord-269711-tw5armh8 111 16 at at IN cord-269711-tw5armh8 111 17 the the DT cord-269711-tw5armh8 111 18 time time NN cord-269711-tw5armh8 111 19 of of IN cord-269711-tw5armh8 111 20 vaccination vaccination NN cord-269711-tw5armh8 111 21 reaching reach VBG cord-269711-tw5armh8 111 22 100 100 CD cord-269711-tw5armh8 111 23 % % NN cord-269711-tw5armh8 111 24 after after IN cord-269711-tw5armh8 111 25 14 14 CD cord-269711-tw5armh8 111 26 days day NNS cord-269711-tw5armh8 111 27 . . . cord-269711-tw5armh8 112 1 The the DT cord-269711-tw5armh8 112 2 effect effect NN cord-269711-tw5armh8 112 3 of of IN cord-269711-tw5armh8 112 4 vaccination vaccination NN cord-269711-tw5armh8 112 5 strategies strategy NNS cord-269711-tw5armh8 112 6 has have VBZ cord-269711-tw5armh8 112 7 been be VBN cord-269711-tw5armh8 112 8 studied study VBN cord-269711-tw5armh8 112 9 ( ( -LRB- cord-269711-tw5armh8 112 10 see see UH cord-269711-tw5armh8 112 11 , , , cord-269711-tw5armh8 112 12 for for IN cord-269711-tw5armh8 112 13 example example NN cord-269711-tw5armh8 112 14 , , , cord-269711-tw5armh8 112 15 Conway Conway NNP cord-269711-tw5armh8 112 16 et et NNP cord-269711-tw5armh8 112 17 al al NNP cord-269711-tw5armh8 112 18 . . NNP cord-269711-tw5armh8 112 19 , , , cord-269711-tw5armh8 112 20 2011 2011 CD cord-269711-tw5armh8 112 21 ) ) -RRB- cord-269711-tw5armh8 112 22 using use VBG cord-269711-tw5armh8 112 23 disease disease NN cord-269711-tw5armh8 112 24 parameter parameter NN cord-269711-tw5armh8 112 25 values value NNS cord-269711-tw5armh8 112 26 estimated estimate VBN cord-269711-tw5armh8 112 27 in in IN cord-269711-tw5armh8 112 28 the the DT cord-269711-tw5armh8 112 29 literature literature NN cord-269711-tw5armh8 112 30 . . . cord-269711-tw5armh8 113 1 However however RB cord-269711-tw5armh8 113 2 , , , cord-269711-tw5armh8 113 3 network network NN cord-269711-tw5armh8 113 4 topologies topology NNS cord-269711-tw5armh8 113 5 were be VBD cord-269711-tw5armh8 113 6 not not RB cord-269711-tw5armh8 113 7 the the DT cord-269711-tw5armh8 113 8 focus focus NN cord-269711-tw5armh8 113 9 of of IN cord-269711-tw5armh8 113 10 these these DT cord-269711-tw5armh8 113 11 studies study NNS cord-269711-tw5armh8 113 12 . . . cord-269711-tw5armh8 114 1 In in IN cord-269711-tw5armh8 114 2 Section section NN cord-269711-tw5armh8 114 3 3 3 CD cord-269711-tw5armh8 114 4 , , , cord-269711-tw5armh8 114 5 the the DT cord-269711-tw5armh8 114 6 effect effect NN cord-269711-tw5armh8 114 7 of of IN cord-269711-tw5armh8 114 8 vaccination vaccination NN cord-269711-tw5armh8 114 9 strategies strategy NNS cord-269711-tw5armh8 114 10 on on IN cord-269711-tw5armh8 114 11 various various JJ cord-269711-tw5armh8 114 12 network network NN cord-269711-tw5armh8 114 13 topologies topology NNS cord-269711-tw5armh8 114 14 is be VBZ cord-269711-tw5armh8 114 15 compared compare VBN cord-269711-tw5armh8 114 16 with with IN cord-269711-tw5armh8 114 17 a a DT cord-269711-tw5armh8 114 18 fixed fix VBN cord-269711-tw5armh8 114 19 per per IN cord-269711-tw5armh8 114 20 link link NN cord-269711-tw5armh8 114 21 transmission transmission NN cord-269711-tw5armh8 114 22 rate rate NN cord-269711-tw5armh8 114 23 . . . cord-269711-tw5armh8 115 1 The the DT cord-269711-tw5armh8 115 2 per per IN cord-269711-tw5armh8 115 3 link link NN cord-269711-tw5armh8 115 4 transmission transmission NN cord-269711-tw5armh8 115 5 rate rate NN cord-269711-tw5armh8 115 6 b b NN cord-269711-tw5armh8 115 7 is be VBZ cord-269711-tw5armh8 115 8 difficult difficult JJ cord-269711-tw5armh8 115 9 to to TO cord-269711-tw5armh8 115 10 obtain obtain VB cord-269711-tw5armh8 115 11 directly directly RB cord-269711-tw5armh8 115 12 and and CC cord-269711-tw5armh8 115 13 is be VBZ cord-269711-tw5armh8 115 14 usually usually RB cord-269711-tw5armh8 115 15 derived derive VBN cord-269711-tw5armh8 115 16 as as IN cord-269711-tw5armh8 115 17 a a DT cord-269711-tw5armh8 115 18 secondary secondary JJ cord-269711-tw5armh8 115 19 quantity quantity NN cord-269711-tw5armh8 115 20 . . . cord-269711-tw5armh8 116 1 To to TO cord-269711-tw5armh8 116 2 determine determine VB cord-269711-tw5armh8 116 3 b b NN cord-269711-tw5armh8 116 4 , , , cord-269711-tw5armh8 116 5 we -PRON- PRP cord-269711-tw5armh8 116 6 pick pick VBP cord-269711-tw5armh8 116 7 the the DT cord-269711-tw5armh8 116 8 basic basic JJ cord-269711-tw5armh8 116 9 reproduction reproduction NN cord-269711-tw5armh8 116 10 number number NN cord-269711-tw5armh8 116 11 R r NN cord-269711-tw5armh8 116 12 0 0 CD cord-269711-tw5armh8 116 13 ¼ ¼ NNP cord-269711-tw5armh8 116 14 1:5 1:5 CD cord-269711-tw5armh8 116 15 and and CC cord-269711-tw5armh8 116 16 the the DT cord-269711-tw5armh8 116 17 recovery recovery NN cord-269711-tw5armh8 116 18 rate rate NN cord-269711-tw5armh8 116 19 g g NNP cord-269711-tw5armh8 116 20 ¼ ¼ NNP cord-269711-tw5armh8 116 21 0:2 0:2 NNP cord-269711-tw5armh8 116 22 , , , cord-269711-tw5armh8 116 23 which which WDT cord-269711-tw5armh8 116 24 are be VBP cord-269711-tw5armh8 116 25 close close JJ cord-269711-tw5armh8 116 26 to to IN cord-269711-tw5armh8 116 27 that that DT cord-269711-tw5armh8 116 28 of of IN cord-269711-tw5armh8 116 29 the the DT cord-269711-tw5armh8 116 30 influenza influenza NN cord-269711-tw5armh8 116 31 A a DT cord-269711-tw5armh8 116 32 H1N1/09 h1n1/09 JJ cord-269711-tw5armh8 116 33 virus virus NN cord-269711-tw5armh8 116 34 ; ; : cord-269711-tw5armh8 116 35 see see VB cord-269711-tw5armh8 116 36 , , , cord-269711-tw5armh8 116 37 for for IN cord-269711-tw5armh8 116 38 example example NN cord-269711-tw5armh8 116 39 , , , cord-269711-tw5armh8 117 1 Pourbohloul Pourbohloul NNP cord-269711-tw5armh8 117 2 et et NNP cord-269711-tw5armh8 117 3 al al NNP cord-269711-tw5armh8 117 4 . . . cord-269711-tw5armh8 118 1 ( ( -LRB- cord-269711-tw5armh8 118 2 2009 2009 CD cord-269711-tw5armh8 118 3 ) ) -RRB- cord-269711-tw5armh8 118 4 , , , cord-269711-tw5armh8 118 5 Tuite Tuite NNP cord-269711-tw5armh8 118 6 et et FW cord-269711-tw5armh8 118 7 al al NNP cord-269711-tw5armh8 118 8 . . . cord-269711-tw5armh8 119 1 ( ( -LRB- cord-269711-tw5armh8 119 2 2010 2010 CD cord-269711-tw5armh8 119 3 . . . cord-269711-tw5armh8 120 1 In in IN cord-269711-tw5armh8 120 2 the the DT cord-269711-tw5armh8 120 3 case case NN cord-269711-tw5armh8 120 4 of of IN cord-269711-tw5armh8 120 5 the the DT cord-269711-tw5armh8 120 6 homogeneous homogeneous JJ cord-269711-tw5armh8 120 7 mixing mix VBG cord-269711-tw5armh8 120 8 SIR SIR NNP cord-269711-tw5armh8 120 9 model model NN cord-269711-tw5armh8 120 10 , , , cord-269711-tw5armh8 120 11 the the DT cord-269711-tw5armh8 120 12 basic basic JJ cord-269711-tw5armh8 120 13 reproduction reproduction NN cord-269711-tw5armh8 120 14 number number NN cord-269711-tw5armh8 120 15 is be VBZ cord-269711-tw5armh8 120 16 given give VBN cord-269711-tw5armh8 120 17 by by IN cord-269711-tw5armh8 120 18 R r NN cord-269711-tw5armh8 120 19 0 0 CD cord-269711-tw5armh8 121 1 ¼ ¼ NNP cord-269711-tw5armh8 121 2 t t NNP cord-269711-tw5armh8 121 3 = = SYM cord-269711-tw5armh8 121 4 g g NNP cord-269711-tw5armh8 121 5 , , , cord-269711-tw5armh8 121 6 where where WRB cord-269711-tw5armh8 121 7 t t NNP cord-269711-tw5armh8 121 8 is be VBZ cord-269711-tw5armh8 121 9 the the DT cord-269711-tw5armh8 121 10 per per IN cord-269711-tw5armh8 121 11 - - HYPH cord-269711-tw5armh8 121 12 node node NN cord-269711-tw5armh8 121 13 transmission transmission NN cord-269711-tw5armh8 121 14 rate rate NN cord-269711-tw5armh8 121 15 . . . cord-269711-tw5armh8 122 1 Our -PRON- PRP$ cord-269711-tw5armh8 122 2 Table table NN cord-269711-tw5armh8 122 3 1 1 CD cord-269711-tw5armh8 122 4 Illustration illustration NN cord-269711-tw5armh8 122 5 of of IN cord-269711-tw5armh8 122 6 the the DT cord-269711-tw5armh8 122 7 different different JJ cord-269711-tw5armh8 122 8 types type NNS cord-269711-tw5armh8 122 9 of of IN cord-269711-tw5armh8 122 10 networks network NNS cord-269711-tw5armh8 122 11 used use VBN cord-269711-tw5armh8 122 12 in in IN cord-269711-tw5armh8 122 13 this this DT cord-269711-tw5armh8 122 14 paper paper NN cord-269711-tw5armh8 122 15 . . . cord-269711-tw5armh8 123 1 Scale scale NN cord-269711-tw5armh8 123 2 - - HYPH cord-269711-tw5armh8 123 3 free free JJ cord-269711-tw5armh8 123 4 Small small JJ cord-269711-tw5armh8 123 5 world world NN cord-269711-tw5armh8 123 6 Meta Meta NNP cord-269711-tw5armh8 123 7 - - HYPH cord-269711-tw5armh8 123 8 random random JJ cord-269711-tw5armh8 123 9 Table table NN cord-269711-tw5armh8 124 1 2 2 LS cord-269711-tw5armh8 124 2 Degree degree NN cord-269711-tw5armh8 124 3 histograms histogram NNS cord-269711-tw5armh8 124 4 of of IN cord-269711-tw5armh8 124 5 the the DT cord-269711-tw5armh8 124 6 networks network NNS cord-269711-tw5armh8 124 7 in in IN cord-269711-tw5armh8 124 8 Table table NN cord-269711-tw5armh8 124 9 1 1 CD cord-269711-tw5armh8 124 10 with with IN cord-269711-tw5armh8 124 11 200,000 200,000 CD cord-269711-tw5armh8 124 12 nodes node NNS cord-269711-tw5armh8 124 13 . . . cord-269711-tw5armh8 125 1 Scale scale NN cord-269711-tw5armh8 125 2 - - HYPH cord-269711-tw5armh8 125 3 free free JJ cord-269711-tw5armh8 125 4 Small small JJ cord-269711-tw5armh8 125 5 world world NN cord-269711-tw5armh8 126 1 Meta meta JJ cord-269711-tw5armh8 126 2 - - HYPH cord-269711-tw5armh8 126 3 random random JJ cord-269711-tw5armh8 126 4 parameter parameter NN cord-269711-tw5armh8 126 5 values value NNS cord-269711-tw5armh8 126 6 yield yield VBP cord-269711-tw5armh8 126 7 t t NNP cord-269711-tw5armh8 126 8 ¼ ¼ NNP cord-269711-tw5armh8 126 9 0:3 0:3 NNP cord-269711-tw5armh8 126 10 . . . cord-269711-tw5armh8 127 1 For for IN cord-269711-tw5armh8 127 2 networks network NNS cord-269711-tw5armh8 127 3 , , , cord-269711-tw5armh8 127 4 t t NNP cord-269711-tw5armh8 127 5 ¼ ¼ NNP cord-269711-tw5armh8 127 6 b b NNP cord-269711-tw5armh8 127 7 / / SYM cord-269711-tw5armh8 127 8 kS. kS. VBN cord-269711-tw5armh8 127 9 With with IN cord-269711-tw5armh8 127 10 the the DT cord-269711-tw5armh8 127 11 assumption assumption NN cord-269711-tw5armh8 127 12 that that IN cord-269711-tw5armh8 127 13 the the DT cord-269711-tw5armh8 127 14 average average JJ cord-269711-tw5armh8 127 15 degree degree NN cord-269711-tw5armh8 127 16 /kS /kS . cord-269711-tw5armh8 128 1 ¼ ¼ NNP cord-269711-tw5armh8 128 2 5 5 CD cord-269711-tw5armh8 128 3 , , , cord-269711-tw5armh8 128 4 the the DT cord-269711-tw5armh8 128 5 above above RB cord-269711-tw5armh8 128 6 gives give VBZ cord-269711-tw5armh8 128 7 the the DT cord-269711-tw5armh8 128 8 per per IN cord-269711-tw5armh8 128 9 - - HYPH cord-269711-tw5armh8 128 10 link link NN cord-269711-tw5armh8 128 11 transmission transmission NN cord-269711-tw5armh8 128 12 rate rate NN cord-269711-tw5armh8 128 13 b b NN cord-269711-tw5armh8 128 14 ¼ ¼ CD cord-269711-tw5armh8 128 15 0:06 0:06 CD cord-269711-tw5armh8 128 16 . . . cord-269711-tw5armh8 129 1 The the DT cord-269711-tw5armh8 129 2 key key JJ cord-269711-tw5armh8 129 3 parameters parameter NNS cord-269711-tw5armh8 129 4 are be VBP cord-269711-tw5armh8 129 5 summarized summarize VBN cord-269711-tw5armh8 129 6 in in IN cord-269711-tw5armh8 129 7 Table Table NNP cord-269711-tw5armh8 129 8 4 4 CD cord-269711-tw5armh8 129 9 . . . cord-269711-tw5armh8 130 1 In in IN cord-269711-tw5armh8 130 2 Section section NN cord-269711-tw5armh8 130 3 3 3 CD cord-269711-tw5armh8 130 4 , , , cord-269711-tw5armh8 130 5 we -PRON- PRP cord-269711-tw5armh8 130 6 use use VBP cord-269711-tw5armh8 130 7 this this DT cord-269711-tw5armh8 130 8 transmission transmission NN cord-269711-tw5armh8 130 9 rate rate NN cord-269711-tw5armh8 130 10 to to TO cord-269711-tw5armh8 130 11 compare compare VB cord-269711-tw5armh8 130 12 the the DT cord-269711-tw5armh8 130 13 incidence incidence NN cord-269711-tw5armh8 130 14 curves curve NNS cord-269711-tw5armh8 130 15 for for IN cord-269711-tw5armh8 130 16 the the DT cord-269711-tw5armh8 130 17 networks network NNS cord-269711-tw5armh8 130 18 in in IN cord-269711-tw5armh8 130 19 Table table NN cord-269711-tw5armh8 130 20 1 1 CD cord-269711-tw5armh8 130 21 with with IN cord-269711-tw5armh8 130 22 the the DT cord-269711-tw5armh8 130 23 vaccination vaccination NN cord-269711-tw5armh8 130 24 strategies strategy NNS cord-269711-tw5armh8 130 25 in in IN cord-269711-tw5armh8 130 26 Table Table NNP cord-269711-tw5armh8 130 27 3 3 CD cord-269711-tw5armh8 130 28 . . . cord-269711-tw5armh8 131 1 Some some DT cord-269711-tw5armh8 131 2 of of IN cord-269711-tw5armh8 131 3 the the DT cord-269711-tw5armh8 131 4 most most RBS cord-269711-tw5armh8 131 5 readily readily RB cord-269711-tw5armh8 131 6 available available JJ cord-269711-tw5armh8 131 7 data datum NNS cord-269711-tw5armh8 131 8 in in IN cord-269711-tw5armh8 131 9 an an DT cord-269711-tw5armh8 131 10 epidemic epidemic NN cord-269711-tw5armh8 131 11 are be VBP cord-269711-tw5armh8 131 12 the the DT cord-269711-tw5armh8 131 13 number number NN cord-269711-tw5armh8 131 14 of of IN cord-269711-tw5armh8 131 15 reported report VBN cord-269711-tw5armh8 131 16 new new JJ cord-269711-tw5armh8 131 17 cases case NNS cord-269711-tw5armh8 131 18 per per IN cord-269711-tw5armh8 131 19 day day NN cord-269711-tw5armh8 131 20 . . . cord-269711-tw5armh8 132 1 These these DT cord-269711-tw5armh8 132 2 cases case NNS cord-269711-tw5armh8 132 3 generally generally RB cord-269711-tw5armh8 132 4 display display VBP cord-269711-tw5armh8 132 5 exponential exponential JJ cord-269711-tw5armh8 132 6 growth growth NN cord-269711-tw5armh8 132 7 in in IN cord-269711-tw5armh8 132 8 the the DT cord-269711-tw5armh8 132 9 initial initial JJ cord-269711-tw5armh8 132 10 phase phase NN cord-269711-tw5armh8 132 11 of of IN cord-269711-tw5armh8 132 12 an an DT cord-269711-tw5armh8 132 13 epidemic epidemic NN cord-269711-tw5armh8 132 14 and and CC cord-269711-tw5armh8 132 15 a a DT cord-269711-tw5armh8 132 16 suitable suitable JJ cord-269711-tw5armh8 132 17 model model NN cord-269711-tw5armh8 132 18 therefore therefore RB cord-269711-tw5armh8 132 19 needs need VBZ cord-269711-tw5armh8 132 20 to to TO cord-269711-tw5armh8 132 21 match match VB cord-269711-tw5armh8 132 22 this this DT cord-269711-tw5armh8 132 23 initial initial JJ cord-269711-tw5armh8 132 24 growth growth NN cord-269711-tw5armh8 132 25 pattern pattern NN cord-269711-tw5armh8 132 26 . . . cord-269711-tw5armh8 133 1 The the DT cord-269711-tw5armh8 133 2 exponential exponential JJ cord-269711-tw5armh8 133 3 growth growth NN cord-269711-tw5armh8 133 4 rates rate NNS cord-269711-tw5armh8 133 5 are be VBP cord-269711-tw5armh8 133 6 commonly commonly RB cord-269711-tw5armh8 133 7 used use VBN cord-269711-tw5armh8 133 8 to to TO cord-269711-tw5armh8 133 9 estimate estimate VB cord-269711-tw5armh8 133 10 disease disease NN cord-269711-tw5armh8 133 11 parameters parameter NNS cord-269711-tw5armh8 133 12 ( ( -LRB- cord-269711-tw5armh8 133 13 Chowell Chowell NNP cord-269711-tw5armh8 133 14 et et FW cord-269711-tw5armh8 133 15 al al NNP cord-269711-tw5armh8 133 16 . . NNP cord-269711-tw5armh8 133 17 , , , cord-269711-tw5armh8 133 18 2007 2007 CD cord-269711-tw5armh8 133 19 ; ; : cord-269711-tw5armh8 133 20 Lipsitch Lipsitch NNP cord-269711-tw5armh8 133 21 et et NNP cord-269711-tw5armh8 133 22 al al NNP cord-269711-tw5armh8 133 23 . . NNP cord-269711-tw5armh8 133 24 , , , cord-269711-tw5armh8 133 25 2003 2003 CD cord-269711-tw5armh8 133 26 ) ) -RRB- cord-269711-tw5armh8 133 27 . . . cord-269711-tw5armh8 134 1 In in IN cord-269711-tw5armh8 134 2 Section section NN cord-269711-tw5armh8 134 3 4 4 CD cord-269711-tw5armh8 134 4 , , , cord-269711-tw5armh8 134 5 we -PRON- PRP cord-269711-tw5armh8 134 6 consider consider VBP cord-269711-tw5armh8 134 7 the the DT cord-269711-tw5armh8 134 8 effects effect NNS cord-269711-tw5armh8 134 9 of of IN cord-269711-tw5armh8 134 10 various various JJ cord-269711-tw5armh8 134 11 network network NN cord-269711-tw5armh8 134 12 topologies topology NNS cord-269711-tw5armh8 134 13 on on IN cord-269711-tw5armh8 134 14 the the DT cord-269711-tw5armh8 134 15 effectiveness effectiveness NN cord-269711-tw5armh8 134 16 of of IN cord-269711-tw5armh8 134 17 vaccination vaccination NN cord-269711-tw5armh8 134 18 strategies strategy NNS cord-269711-tw5armh8 134 19 for for IN cord-269711-tw5armh8 134 20 epidemics epidemic NNS cord-269711-tw5armh8 134 21 with with IN cord-269711-tw5armh8 134 22 a a DT cord-269711-tw5armh8 134 23 fixed fix VBN cord-269711-tw5armh8 134 24 exponential exponential JJ cord-269711-tw5armh8 134 25 growth growth NN cord-269711-tw5armh8 134 26 rate rate NN cord-269711-tw5armh8 134 27 . . . cord-269711-tw5armh8 135 1 The the DT cord-269711-tw5armh8 135 2 basic basic JJ cord-269711-tw5armh8 135 3 reproduction reproduction NN cord-269711-tw5armh8 135 4 number number NN cord-269711-tw5armh8 135 5 R r NN cord-269711-tw5armh8 135 6 0 0 CD cord-269711-tw5armh8 135 7 ¼ ¼ NNP cord-269711-tw5armh8 135 8 1:5 1:5 CD cord-269711-tw5armh8 135 9 and and CC cord-269711-tw5armh8 135 10 the the DT cord-269711-tw5armh8 135 11 recovery recovery NN cord-269711-tw5armh8 135 12 rate rate NN cord-269711-tw5armh8 136 1 g g NNP cord-269711-tw5armh8 136 2 ¼ ¼ NNP cord-269711-tw5armh8 136 3 0:2 0:2 CD cord-269711-tw5armh8 136 4 yield yield VB cord-269711-tw5armh8 136 5 an an DT cord-269711-tw5armh8 136 6 exponential exponential JJ cord-269711-tw5armh8 136 7 growth growth NN cord-269711-tw5armh8 136 8 rate rate NN cord-269711-tw5armh8 136 9 l l NNP cord-269711-tw5armh8 136 10 ¼ ¼ NNP cord-269711-tw5armh8 136 11 tÀg tÀg NNS cord-269711-tw5armh8 136 12 ¼ ¼ NNP cord-269711-tw5armh8 136 13 0:1 0:1 XX cord-269711-tw5armh8 136 14 for for IN cord-269711-tw5armh8 136 15 the the DT cord-269711-tw5armh8 136 16 homogeneous homogeneous JJ cord-269711-tw5armh8 136 17 mixing mix VBG cord-269711-tw5armh8 136 18 SIR SIR NNP cord-269711-tw5armh8 136 19 model model NN cord-269711-tw5armh8 136 20 . . . cord-269711-tw5armh8 137 1 We -PRON- PRP cord-269711-tw5armh8 137 2 tune tune VBP cord-269711-tw5armh8 137 3 the the DT cord-269711-tw5armh8 137 4 transmission transmission NN cord-269711-tw5armh8 137 5 rate rate NN cord-269711-tw5armh8 137 6 for for IN cord-269711-tw5armh8 137 7 each each DT cord-269711-tw5armh8 137 8 network network NN cord-269711-tw5armh8 137 9 topology topology NN cord-269711-tw5armh8 137 10 to to TO cord-269711-tw5armh8 137 11 give give VB cord-269711-tw5armh8 137 12 this this DT cord-269711-tw5armh8 137 13 initial initial JJ cord-269711-tw5armh8 137 14 growth growth NN cord-269711-tw5armh8 137 15 rate rate NN cord-269711-tw5armh8 137 16 . . . cord-269711-tw5armh8 138 1 In in IN cord-269711-tw5armh8 138 2 this this DT cord-269711-tw5armh8 138 3 section section NN cord-269711-tw5armh8 138 4 , , , cord-269711-tw5armh8 138 5 the the DT cord-269711-tw5armh8 138 6 effectiveness effectiveness NN cord-269711-tw5armh8 138 7 of of IN cord-269711-tw5armh8 138 8 vaccination vaccination NN cord-269711-tw5armh8 138 9 strategies strategy NNS cord-269711-tw5armh8 138 10 on on IN cord-269711-tw5armh8 138 11 various various JJ cord-269711-tw5armh8 138 12 network network NN cord-269711-tw5armh8 138 13 topologies topology NNS cord-269711-tw5armh8 138 14 is be VBZ cord-269711-tw5armh8 138 15 investigated investigate VBN cord-269711-tw5armh8 138 16 for for IN cord-269711-tw5armh8 138 17 a a DT cord-269711-tw5armh8 138 18 given give VBN cord-269711-tw5armh8 138 19 set set NN cord-269711-tw5armh8 138 20 of of IN cord-269711-tw5armh8 138 21 parameters parameter NNS cord-269711-tw5armh8 138 22 , , , cord-269711-tw5armh8 138 23 which which WDT cord-269711-tw5armh8 138 24 are be VBP cord-269711-tw5armh8 138 25 identical identical JJ cord-269711-tw5armh8 138 26 for for IN cord-269711-tw5armh8 138 27 all all PDT cord-269711-tw5armh8 138 28 the the DT cord-269711-tw5armh8 138 29 simulations simulation NNS cord-269711-tw5armh8 138 30 . . . cord-269711-tw5armh8 139 1 The the DT cord-269711-tw5armh8 139 2 values value NNS cord-269711-tw5armh8 139 3 of of IN cord-269711-tw5armh8 139 4 the the DT cord-269711-tw5armh8 139 5 disease disease NN cord-269711-tw5armh8 139 6 parameters parameter NNS cord-269711-tw5armh8 139 7 are be VBP cord-269711-tw5armh8 139 8 chosen choose VBN cord-269711-tw5armh8 139 9 based base VBN cord-269711-tw5armh8 139 10 on on IN cord-269711-tw5armh8 139 11 what what WP cord-269711-tw5armh8 139 12 is be VBZ cord-269711-tw5armh8 139 13 known know VBN cord-269711-tw5armh8 139 14 from from IN cord-269711-tw5armh8 139 15 influenza influenza NN cord-269711-tw5armh8 139 16 H1N1/09 H1N1/09 NNP cord-269711-tw5armh8 139 17 . . . cord-269711-tw5armh8 140 1 Qualitatively qualitatively RB cord-269711-tw5armh8 140 2 , , , cord-269711-tw5armh8 140 3 these these DT cord-269711-tw5armh8 140 4 chosen choose VBN cord-269711-tw5armh8 140 5 parameters parameter NNS cord-269711-tw5armh8 140 6 should should MD cord-269711-tw5armh8 140 7 provide provide VB cord-269711-tw5armh8 140 8 substantial substantial JJ cord-269711-tw5armh8 140 9 insight insight NN cord-269711-tw5armh8 140 10 into into IN cord-269711-tw5armh8 140 11 the the DT cord-269711-tw5armh8 140 12 effects effect NNS cord-269711-tw5armh8 140 13 topology topology NN cord-269711-tw5armh8 140 14 has have VBZ cord-269711-tw5armh8 140 15 on on IN cord-269711-tw5armh8 140 16 the the DT cord-269711-tw5armh8 140 17 spread spread NN cord-269711-tw5armh8 140 18 of of IN cord-269711-tw5armh8 140 19 a a DT cord-269711-tw5armh8 140 20 disease disease NN cord-269711-tw5armh8 140 21 . . . cord-269711-tw5armh8 141 1 Unless unless IN cord-269711-tw5armh8 141 2 indicated indicate VBN cord-269711-tw5armh8 141 3 otherwise otherwise RB cord-269711-tw5armh8 141 4 the the DT cord-269711-tw5armh8 141 5 parameter parameter NN cord-269711-tw5armh8 141 6 values value NNS cord-269711-tw5armh8 141 7 listed list VBN cord-269711-tw5armh8 141 8 in in IN cord-269711-tw5armh8 141 9 Table Table NNP cord-269711-tw5armh8 141 10 4 4 CD cord-269711-tw5armh8 141 11 are be VBP cord-269711-tw5armh8 141 12 used use VBN cord-269711-tw5armh8 141 13 . . . cord-269711-tw5armh8 142 1 The the DT cord-269711-tw5armh8 142 2 effects effect NNS cord-269711-tw5armh8 142 3 of of IN cord-269711-tw5armh8 142 4 the the DT cord-269711-tw5armh8 142 5 vaccination vaccination NN cord-269711-tw5armh8 142 6 strategies strategy NNS cord-269711-tw5armh8 142 7 summarized summarize VBN cord-269711-tw5armh8 142 8 in in IN cord-269711-tw5armh8 142 9 Table Table NNP cord-269711-tw5armh8 142 10 3 3 CD cord-269711-tw5armh8 142 11 when when WRB cord-269711-tw5armh8 142 12 applied apply VBN cord-269711-tw5armh8 142 13 without without IN cord-269711-tw5armh8 142 14 delay delay NN cord-269711-tw5armh8 142 15 are be VBP cord-269711-tw5armh8 142 16 shown show VBN cord-269711-tw5armh8 142 17 in in IN cord-269711-tw5armh8 142 18 Fig Fig NNP cord-269711-tw5armh8 142 19 . . . cord-269711-tw5armh8 143 1 3 3 LS cord-269711-tw5armh8 143 2 . . . cord-269711-tw5armh8 144 1 For for IN cord-269711-tw5armh8 144 2 reference reference NN cord-269711-tw5armh8 144 3 , , , cord-269711-tw5armh8 144 4 Fig Fig NNP cord-269711-tw5armh8 144 5 . . NNP cord-269711-tw5armh8 144 6 1 1 CD cord-269711-tw5armh8 144 7 shows show VBZ cord-269711-tw5armh8 144 8 the the DT cord-269711-tw5armh8 144 9 incidence incidence NN cord-269711-tw5armh8 144 10 curves curve NNS cord-269711-tw5armh8 144 11 with with IN cord-269711-tw5armh8 144 12 no no DT cord-269711-tw5armh8 144 13 vaccination vaccination NN cord-269711-tw5armh8 144 14 . . . cord-269711-tw5armh8 145 1 Since since IN cord-269711-tw5armh8 145 2 the the DT cord-269711-tw5armh8 145 3 disease disease NN cord-269711-tw5armh8 145 4 dies die VBZ cord-269711-tw5armh8 145 5 out out RP cord-269711-tw5armh8 145 6 in in IN cord-269711-tw5armh8 145 7 the the DT cord-269711-tw5armh8 145 8 small small JJ cord-269711-tw5armh8 145 9 world world NN cord-269711-tw5armh8 145 10 network network NN cord-269711-tw5armh8 145 11 ( ( -LRB- cord-269711-tw5armh8 145 12 see see VB cord-269711-tw5armh8 145 13 Fig Fig NNP cord-269711-tw5armh8 145 14 . . NNP cord-269711-tw5armh8 145 15 1 1 CD cord-269711-tw5armh8 145 16 ) ) -RRB- cord-269711-tw5armh8 145 17 , , , cord-269711-tw5armh8 145 18 vaccination vaccination NN cord-269711-tw5armh8 145 19 is be VBZ cord-269711-tw5armh8 145 20 not not RB cord-269711-tw5armh8 145 21 needed need VBN cord-269711-tw5armh8 145 22 in in IN cord-269711-tw5armh8 145 23 this this DT cord-269711-tw5armh8 145 24 network network NN cord-269711-tw5armh8 145 25 for for IN cord-269711-tw5armh8 145 26 the the DT cord-269711-tw5armh8 145 27 parameter parameter NN cord-269711-tw5armh8 145 28 values value NNS cord-269711-tw5armh8 145 29 taken take VBN cord-269711-tw5armh8 145 30 . . . cord-269711-tw5armh8 146 1 Especially especially RB cord-269711-tw5armh8 146 2 in in IN cord-269711-tw5armh8 146 3 the the DT cord-269711-tw5armh8 146 4 cases case NNS cord-269711-tw5armh8 146 5 of of IN cord-269711-tw5armh8 146 6 the the DT cord-269711-tw5armh8 146 7 random random JJ cord-269711-tw5armh8 146 8 and and CC cord-269711-tw5armh8 146 9 meta meta JJ cord-269711-tw5armh8 146 10 - - HYPH cord-269711-tw5armh8 146 11 random random JJ cord-269711-tw5armh8 146 12 networks network NNS cord-269711-tw5armh8 146 13 , , , cord-269711-tw5armh8 146 14 the the DT cord-269711-tw5armh8 146 15 effects effect NNS cord-269711-tw5armh8 146 16 of of IN cord-269711-tw5armh8 146 17 vaccination vaccination NN cord-269711-tw5armh8 146 18 are be VBP cord-269711-tw5armh8 146 19 drastic drastic JJ cord-269711-tw5armh8 146 20 while while NN cord-269711-tw5armh8 146 21 for for IN cord-269711-tw5armh8 146 22 the the DT cord-269711-tw5armh8 146 23 scale scale NN cord-269711-tw5armh8 146 24 - - HYPH cord-269711-tw5armh8 146 25 free free JJ cord-269711-tw5armh8 146 26 network network NN cord-269711-tw5armh8 146 27 they -PRON- PRP cord-269711-tw5armh8 146 28 are be VBP cord-269711-tw5armh8 146 29 still still RB cord-269711-tw5armh8 146 30 considerable considerable JJ cord-269711-tw5armh8 146 31 . . . cord-269711-tw5armh8 147 1 What what WP cord-269711-tw5armh8 147 2 is be VBZ cord-269711-tw5armh8 147 3 particularly particularly RB cord-269711-tw5armh8 147 4 notable notable JJ cord-269711-tw5armh8 147 5 is be VBZ cord-269711-tw5armh8 147 6 that that IN cord-269711-tw5armh8 147 7 when when WRB cord-269711-tw5armh8 147 8 comparing compare VBG cord-269711-tw5armh8 147 9 the the DT cord-269711-tw5armh8 147 10 various various JJ cord-269711-tw5armh8 147 11 outcomes outcome NNS cord-269711-tw5armh8 147 12 , , , cord-269711-tw5armh8 147 13 topology topology NN cord-269711-tw5armh8 147 14 has have VBZ cord-269711-tw5armh8 147 15 as as RB cord-269711-tw5armh8 147 16 great great JJ cord-269711-tw5armh8 147 17 if if IN cord-269711-tw5armh8 147 18 not not RB cord-269711-tw5armh8 147 19 a a DT cord-269711-tw5armh8 147 20 greater great JJR cord-269711-tw5armh8 147 21 impact impact NN cord-269711-tw5armh8 147 22 on on IN cord-269711-tw5armh8 147 23 the the DT cord-269711-tw5armh8 147 24 epidemic epidemic NN cord-269711-tw5armh8 147 25 than than IN cord-269711-tw5armh8 147 26 the the DT cord-269711-tw5armh8 147 27 vaccination vaccination NN cord-269711-tw5armh8 147 28 strategy strategy NN cord-269711-tw5armh8 147 29 . . . cord-269711-tw5armh8 148 1 Besides besides IN cord-269711-tw5armh8 148 2 the the DT cord-269711-tw5armh8 148 3 incidence incidence NN cord-269711-tw5armh8 148 4 curves curve NNS cord-269711-tw5armh8 148 5 , , , cord-269711-tw5armh8 148 6 the the DT cord-269711-tw5armh8 148 7 final final JJ cord-269711-tw5armh8 148 8 sizes size NNS cord-269711-tw5armh8 148 9 of of IN cord-269711-tw5armh8 148 10 epidemics epidemic NNS cord-269711-tw5armh8 148 11 and and CC cord-269711-tw5armh8 148 12 the the DT cord-269711-tw5armh8 148 13 effect effect NN cord-269711-tw5armh8 148 14 vaccination vaccination NN cord-269711-tw5armh8 148 15 has have VBZ cord-269711-tw5armh8 148 16 on on IN cord-269711-tw5armh8 148 17 these these DT cord-269711-tw5armh8 148 18 are be VBP cord-269711-tw5armh8 148 19 also also RB cord-269711-tw5armh8 148 20 of of IN cord-269711-tw5armh8 148 21 great great JJ cord-269711-tw5armh8 148 22 importance importance NN cord-269711-tw5armh8 148 23 . . . cord-269711-tw5armh8 149 1 Table table NN cord-269711-tw5armh8 149 2 5 5 CD cord-269711-tw5armh8 149 3 shows show VBZ cord-269711-tw5armh8 149 4 the the DT cord-269711-tw5armh8 149 5 final final JJ cord-269711-tw5armh8 149 6 sizes size NNS cord-269711-tw5armh8 149 7 and and CC cord-269711-tw5armh8 149 8 the the DT cord-269711-tw5armh8 149 9 reductions reduction NNS cord-269711-tw5armh8 149 10 in in IN cord-269711-tw5armh8 149 11 the the DT cord-269711-tw5armh8 149 12 final final JJ cord-269711-tw5armh8 149 13 sizes size NNS cord-269711-tw5armh8 149 14 for for IN cord-269711-tw5armh8 149 15 the the DT cord-269711-tw5armh8 149 16 various various JJ cord-269711-tw5armh8 149 17 networks network NNS cord-269711-tw5armh8 149 18 on on IN cord-269711-tw5armh8 149 19 which which WDT cord-269711-tw5armh8 149 20 the the DT cord-269711-tw5armh8 149 21 disease disease NN cord-269711-tw5armh8 149 22 can can MD cord-269711-tw5armh8 149 23 survive survive VB cord-269711-tw5armh8 149 24 ( ( -LRB- cord-269711-tw5armh8 149 25 for for IN cord-269711-tw5armh8 149 26 the the DT cord-269711-tw5armh8 149 27 chosen choose VBN cord-269711-tw5armh8 149 28 parameter parameter NN cord-269711-tw5armh8 149 29 values value NNS cord-269711-tw5armh8 149 30 ) ) -RRB- cord-269711-tw5armh8 149 31 with with IN cord-269711-tw5armh8 149 32 vaccination vaccination NN cord-269711-tw5armh8 149 33 strategies strategy NNS cord-269711-tw5armh8 149 34 for for IN cord-269711-tw5armh8 149 35 the the DT cord-269711-tw5armh8 149 36 cases case NNS cord-269711-tw5armh8 149 37 where where WRB cord-269711-tw5armh8 149 38 there there EX cord-269711-tw5armh8 149 39 is be VBZ cord-269711-tw5armh8 149 40 no no DT cord-269711-tw5armh8 149 41 delay delay NN cord-269711-tw5armh8 149 42 in in IN cord-269711-tw5armh8 149 43 the the DT cord-269711-tw5armh8 149 44 vaccination vaccination NN cord-269711-tw5armh8 149 45 . . . cord-269711-tw5armh8 150 1 Fig Fig NNP cord-269711-tw5armh8 150 2 . . . cord-269711-tw5armh8 151 1 4 4 LS cord-269711-tw5armh8 151 2 and and CC cord-269711-tw5armh8 151 3 Table Table NNP cord-269711-tw5armh8 151 4 6 6 CD cord-269711-tw5armh8 151 5 show show VBP cord-269711-tw5armh8 151 6 the the DT cord-269711-tw5armh8 151 7 incidence incidence NN cord-269711-tw5armh8 151 8 curves curve NNS cord-269711-tw5armh8 151 9 and and CC cord-269711-tw5armh8 151 10 the the DT cord-269711-tw5armh8 151 11 reductions reduction NNS cord-269711-tw5armh8 151 12 in in IN cord-269711-tw5armh8 151 13 final final JJ cord-269711-tw5armh8 151 14 sizes size NNS cord-269711-tw5armh8 151 15 for for IN cord-269711-tw5armh8 151 16 the the DT cord-269711-tw5armh8 151 17 same same JJ cord-269711-tw5armh8 151 18 parameters parameter NNS cord-269711-tw5armh8 151 19 as as IN cord-269711-tw5armh8 151 20 used use VBN cord-269711-tw5armh8 151 21 in in IN cord-269711-tw5armh8 151 22 Fig Fig NNP cord-269711-tw5armh8 151 23 . . . cord-269711-tw5armh8 152 1 3 3 CD cord-269711-tw5armh8 152 2 and and CC cord-269711-tw5armh8 152 3 Table Table NNP cord-269711-tw5armh8 152 4 5 5 CD cord-269711-tw5armh8 153 1 but but CC cord-269711-tw5armh8 153 2 with with IN cord-269711-tw5armh8 153 3 a a DT cord-269711-tw5armh8 153 4 delay delay NN cord-269711-tw5armh8 153 5 of of IN cord-269711-tw5armh8 153 6 40 40 CD cord-269711-tw5armh8 153 7 days day NNS cord-269711-tw5armh8 153 8 in in IN cord-269711-tw5armh8 153 9 the the DT cord-269711-tw5armh8 153 10 vaccination vaccination NN cord-269711-tw5armh8 153 11 . . . cord-269711-tw5armh8 154 1 As as IN cord-269711-tw5armh8 154 2 can can MD cord-269711-tw5armh8 154 3 be be VB cord-269711-tw5armh8 154 4 expected expect VBN cord-269711-tw5armh8 154 5 for for IN cord-269711-tw5armh8 154 6 the the DT cord-269711-tw5armh8 154 7 given give VBN cord-269711-tw5armh8 154 8 parameters parameter NNS cord-269711-tw5armh8 154 9 , , , cord-269711-tw5armh8 154 10 a a DT cord-269711-tw5armh8 154 11 delay delay NN cord-269711-tw5armh8 154 12 has have VBZ cord-269711-tw5armh8 154 13 the the DT cord-269711-tw5armh8 154 14 biggest big JJS cord-269711-tw5armh8 154 15 effect effect NN cord-269711-tw5armh8 154 16 for for IN cord-269711-tw5armh8 154 17 the the DT cord-269711-tw5armh8 154 18 scale scale NN cord-269711-tw5armh8 154 19 - - HYPH cord-269711-tw5armh8 154 20 free free JJ cord-269711-tw5armh8 154 21 network network NN cord-269711-tw5armh8 154 22 . . . cord-269711-tw5armh8 155 1 In in IN cord-269711-tw5armh8 155 2 that that DT cord-269711-tw5armh8 155 3 case case NN cord-269711-tw5armh8 155 4 , , , cord-269711-tw5armh8 155 5 the the DT cord-269711-tw5armh8 155 6 epidemic epidemic NN cord-269711-tw5armh8 155 7 is be VBZ cord-269711-tw5armh8 155 8 already already RB cord-269711-tw5armh8 155 9 past past IN cord-269711-tw5armh8 155 10 its -PRON- PRP$ cord-269711-tw5armh8 155 11 peak peak NN cord-269711-tw5armh8 155 12 and and CC cord-269711-tw5armh8 155 13 vaccinations vaccination NNS cord-269711-tw5armh8 155 14 only only RB cord-269711-tw5armh8 155 15 have have VBP cord-269711-tw5armh8 155 16 a a DT cord-269711-tw5armh8 155 17 minor minor JJ cord-269711-tw5armh8 155 18 effect effect NN cord-269711-tw5armh8 155 19 . . . cord-269711-tw5armh8 156 1 For for IN cord-269711-tw5armh8 156 2 the the DT cord-269711-tw5armh8 156 3 random random JJ cord-269711-tw5armh8 156 4 and and CC cord-269711-tw5armh8 156 5 meta meta JJ cord-269711-tw5armh8 156 6 - - HYPH cord-269711-tw5armh8 156 7 random random JJ cord-269711-tw5armh8 156 8 networks network NNS cord-269711-tw5armh8 156 9 , , , cord-269711-tw5armh8 156 10 the the DT cord-269711-tw5armh8 156 11 Table Table NNP cord-269711-tw5armh8 156 12 3 3 CD cord-269711-tw5armh8 156 13 Illustration Illustration NNP cord-269711-tw5armh8 156 14 of of IN cord-269711-tw5armh8 156 15 vaccination vaccination NN cord-269711-tw5armh8 156 16 strategies strategy NNS cord-269711-tw5armh8 156 17 . . . cord-269711-tw5armh8 157 1 Susceptible susceptible JJ cord-269711-tw5armh8 157 2 nodes node NNS cord-269711-tw5armh8 157 3 are be VBP cord-269711-tw5armh8 157 4 depicted depict VBN cord-269711-tw5armh8 157 5 by by IN cord-269711-tw5armh8 157 6 triangles triangle NNS cord-269711-tw5armh8 157 7 , , , cord-269711-tw5armh8 157 8 infectious infectious JJ cord-269711-tw5armh8 157 9 nodes node NNS cord-269711-tw5armh8 157 10 by by IN cord-269711-tw5armh8 157 11 squares square NNS cord-269711-tw5armh8 157 12 , , , cord-269711-tw5armh8 157 13 and and CC cord-269711-tw5armh8 157 14 the the DT cord-269711-tw5armh8 157 15 vaccinated vaccinate VBN cord-269711-tw5armh8 157 16 nodes node NNS cord-269711-tw5armh8 157 17 by by IN cord-269711-tw5armh8 157 18 circles circle NNS cord-269711-tw5armh8 157 19 . . . cord-269711-tw5armh8 158 1 The the DT cord-269711-tw5armh8 158 2 average average JJ cord-269711-tw5armh8 158 3 degree degree NN cord-269711-tw5armh8 158 4 in in IN cord-269711-tw5armh8 158 5 these these DT cord-269711-tw5armh8 158 6 illustrations illustration NNS cord-269711-tw5armh8 158 7 has have VBZ cord-269711-tw5armh8 158 8 been be VBN cord-269711-tw5armh8 158 9 reduced reduce VBN cord-269711-tw5armh8 158 10 to to TO cord-269711-tw5armh8 158 11 aid aid VB cord-269711-tw5armh8 158 12 clarity clarity NN cord-269711-tw5armh8 158 13 . . . cord-269711-tw5armh8 159 1 The the DT cord-269711-tw5armh8 159 2 starting starting NN cord-269711-tw5armh8 159 3 point point NN cord-269711-tw5armh8 159 4 for for IN cord-269711-tw5armh8 159 5 contact contact NN cord-269711-tw5armh8 159 6 tracing tracing NN cord-269711-tw5armh8 159 7 is be VBZ cord-269711-tw5armh8 159 8 labeled label VBN cord-269711-tw5armh8 159 9 as as IN cord-269711-tw5armh8 159 10 A a DT cord-269711-tw5armh8 159 11 while while IN cord-269711-tw5armh8 159 12 the the DT cord-269711-tw5armh8 159 13 starting starting NN cord-269711-tw5armh8 159 14 point point NN cord-269711-tw5armh8 159 15 for for IN cord-269711-tw5armh8 159 16 the the DT cord-269711-tw5armh8 159 17 follow follow NN cord-269711-tw5armh8 159 18 links link NNS cord-269711-tw5armh8 159 19 strategy strategy NN cord-269711-tw5armh8 159 20 is be VBZ cord-269711-tw5armh8 159 21 labeled label VBN cord-269711-tw5armh8 159 22 as as IN cord-269711-tw5armh8 159 23 B. B. NNP cord-269711-tw5armh8 160 1 The the DT cord-269711-tw5armh8 160 2 number number NN cord-269711-tw5armh8 160 3 of of IN cord-269711-tw5armh8 160 4 doses dose NNS cord-269711-tw5armh8 160 5 dispensed dispense VBN cord-269711-tw5armh8 160 6 in in IN cord-269711-tw5armh8 160 7 this this DT cord-269711-tw5armh8 160 8 illustration illustration NN cord-269711-tw5armh8 160 9 is be VBZ cord-269711-tw5armh8 160 10 3 3 CD cord-269711-tw5armh8 160 11 . . . cord-269711-tw5armh8 161 1 Random random JJ cord-269711-tw5armh8 161 2 Follow Follow NNP cord-269711-tw5armh8 161 3 links link NNS cord-269711-tw5armh8 162 1 Contact contact NN cord-269711-tw5armh8 162 2 tracing trace VBG cord-269711-tw5armh8 162 3 Table Table NNP cord-269711-tw5armh8 162 4 3 3 CD cord-269711-tw5armh8 162 5 for for IN cord-269711-tw5armh8 162 6 the the DT cord-269711-tw5armh8 162 7 network network NN cord-269711-tw5armh8 162 8 topologies topology NNS cord-269711-tw5armh8 162 9 in in IN cord-269711-tw5armh8 162 10 Table Table NNP cord-269711-tw5armh8 162 11 1 1 CD cord-269711-tw5armh8 162 12 given give VBN cord-269711-tw5armh8 162 13 a a DT cord-269711-tw5armh8 162 14 fixed fix VBN cord-269711-tw5armh8 162 15 transmission transmission NN cord-269711-tw5armh8 162 16 rate rate NN cord-269711-tw5armh8 163 1 b. b. NNP cord-269711-tw5armh8 164 1 There there EX cord-269711-tw5armh8 164 2 is be VBZ cord-269711-tw5armh8 164 3 no no DT cord-269711-tw5armh8 164 4 delay delay NN cord-269711-tw5armh8 164 5 in in IN cord-269711-tw5armh8 164 6 the the DT cord-269711-tw5armh8 164 7 vaccination vaccination NN cord-269711-tw5armh8 164 8 and and CC cord-269711-tw5armh8 164 9 parameters parameter NNS cord-269711-tw5armh8 164 10 are be VBP cord-269711-tw5armh8 164 11 equal equal JJ cord-269711-tw5armh8 164 12 to to IN cord-269711-tw5armh8 164 13 those those DT cord-269711-tw5armh8 164 14 used use VBN cord-269711-tw5armh8 164 15 in in IN cord-269711-tw5armh8 164 16 Fig Fig NNP cord-269711-tw5armh8 164 17 . . . cord-269711-tw5armh8 165 1 1 1 LS cord-269711-tw5armh8 165 2 . . . cord-269711-tw5armh8 166 1 To to TO cord-269711-tw5armh8 166 2 further further RB cord-269711-tw5armh8 166 3 investigate investigate VB cord-269711-tw5armh8 166 4 the the DT cord-269711-tw5armh8 166 5 effects effect NNS cord-269711-tw5armh8 166 6 of of IN cord-269711-tw5armh8 166 7 delay delay NN cord-269711-tw5armh8 166 8 in in IN cord-269711-tw5armh8 166 9 the the DT cord-269711-tw5armh8 166 10 case case NN cord-269711-tw5armh8 166 11 of of IN cord-269711-tw5armh8 166 12 random random JJ cord-269711-tw5armh8 166 13 vaccination vaccination NN cord-269711-tw5armh8 166 14 , , , cord-269711-tw5armh8 166 15 we -PRON- PRP cord-269711-tw5armh8 166 16 compute compute VBP cord-269711-tw5armh8 166 17 reductions reduction NNS cord-269711-tw5armh8 166 18 in in IN cord-269711-tw5armh8 166 19 final final JJ cord-269711-tw5armh8 166 20 sizes size NNS cord-269711-tw5armh8 166 21 for for IN cord-269711-tw5armh8 166 22 delays delay NNS cord-269711-tw5armh8 166 23 of of IN cord-269711-tw5armh8 166 24 5 5 CD cord-269711-tw5armh8 166 25 , , , cord-269711-tw5armh8 166 26 10 10 CD cord-269711-tw5armh8 166 27 , , , cord-269711-tw5armh8 166 28 15,y,150 15,y,150 CD cord-269711-tw5armh8 166 29 days day NNS cord-269711-tw5armh8 166 30 , , , cord-269711-tw5armh8 166 31 in in IN cord-269711-tw5armh8 166 32 random random JJ cord-269711-tw5armh8 166 33 , , , cord-269711-tw5armh8 166 34 scale scale NN cord-269711-tw5armh8 166 35 - - HYPH cord-269711-tw5armh8 166 36 free free JJ cord-269711-tw5armh8 166 37 , , , cord-269711-tw5armh8 166 38 and and CC cord-269711-tw5armh8 166 39 meta meta JJ cord-269711-tw5armh8 166 40 - - HYPH cord-269711-tw5armh8 166 41 random random JJ cord-269711-tw5armh8 166 42 networks network NNS cord-269711-tw5armh8 166 43 . . . cord-269711-tw5armh8 167 1 Fig Fig NNP cord-269711-tw5armh8 167 2 . . . cord-269711-tw5armh8 168 1 5 5 CD cord-269711-tw5armh8 168 2 shows show VBZ cord-269711-tw5armh8 168 3 that that IN cord-269711-tw5armh8 168 4 , , , cord-269711-tw5armh8 168 5 not not RB cord-269711-tw5armh8 168 6 surprisingly surprisingly RB cord-269711-tw5armh8 168 7 , , , cord-269711-tw5armh8 168 8 these these DT cord-269711-tw5armh8 168 9 reductions reduction NNS cord-269711-tw5armh8 168 10 diminish diminish VBP cord-269711-tw5armh8 168 11 with with IN cord-269711-tw5armh8 168 12 longer long JJR cord-269711-tw5armh8 168 13 delays delay NNS cord-269711-tw5armh8 168 14 . . . cord-269711-tw5armh8 169 1 However however RB cord-269711-tw5armh8 169 2 , , , cord-269711-tw5armh8 169 3 the the DT cord-269711-tw5armh8 169 4 reductions reduction NNS cord-269711-tw5armh8 169 5 are be VBP cord-269711-tw5armh8 169 6 strongly strongly RB cord-269711-tw5armh8 169 7 network network NN cord-269711-tw5armh8 169 8 dependent dependent JJ cord-269711-tw5armh8 169 9 . . . cord-269711-tw5armh8 170 1 On on IN cord-269711-tw5armh8 170 2 a a DT cord-269711-tw5armh8 170 3 scale scale NN cord-269711-tw5armh8 170 4 - - HYPH cord-269711-tw5armh8 170 5 free free JJ cord-269711-tw5armh8 170 6 network network NN cord-269711-tw5armh8 170 7 , , , cord-269711-tw5armh8 170 8 the the DT cord-269711-tw5armh8 170 9 reduction reduction NN cord-269711-tw5armh8 170 10 becomes become VBZ cord-269711-tw5armh8 170 11 negligible negligible JJ cord-269711-tw5armh8 170 12 as as IN cord-269711-tw5armh8 170 13 the the DT cord-269711-tw5armh8 170 14 delay delay NN cord-269711-tw5armh8 170 15 approaches approach VBZ cord-269711-tw5armh8 170 16 the the DT cord-269711-tw5armh8 170 17 epidemic epidemic NN cord-269711-tw5armh8 170 18 peak peak NN cord-269711-tw5armh8 170 19 time time NN cord-269711-tw5armh8 170 20 , , , cord-269711-tw5armh8 170 21 while while IN cord-269711-tw5armh8 170 22 on on IN cord-269711-tw5armh8 170 23 random random JJ cord-269711-tw5armh8 170 24 and and CC cord-269711-tw5armh8 170 25 meta meta JJ cord-269711-tw5armh8 170 26 - - HYPH cord-269711-tw5armh8 170 27 random random JJ cord-269711-tw5armh8 170 28 networks network NNS cord-269711-tw5armh8 170 29 , , , cord-269711-tw5armh8 170 30 the the DT cord-269711-tw5armh8 170 31 reduction reduction NN cord-269711-tw5armh8 170 32 is be VBZ cord-269711-tw5armh8 170 33 about about RB cord-269711-tw5armh8 170 34 40 40 CD cord-269711-tw5armh8 170 35 % % NN cord-269711-tw5armh8 170 36 with with IN cord-269711-tw5armh8 170 37 the the DT cord-269711-tw5armh8 170 38 delay delay NN cord-269711-tw5armh8 170 39 at at IN cord-269711-tw5armh8 170 40 the the DT cord-269711-tw5armh8 170 41 epidemic epidemic NN cord-269711-tw5armh8 170 42 peak peak NN cord-269711-tw5armh8 170 43 time time NN cord-269711-tw5armh8 170 44 . . . cord-269711-tw5armh8 171 1 This this DT cord-269711-tw5armh8 171 2 section section NN cord-269711-tw5armh8 171 3 clearly clearly RB cord-269711-tw5armh8 171 4 shows show VBZ cord-269711-tw5armh8 171 5 that that IN cord-269711-tw5armh8 171 6 given give VBN cord-269711-tw5armh8 171 7 a a DT cord-269711-tw5armh8 171 8 certain certain JJ cord-269711-tw5armh8 171 9 transmission transmission NN cord-269711-tw5armh8 171 10 rate rate NN cord-269711-tw5armh8 171 11 b b NN cord-269711-tw5armh8 171 12 , , , cord-269711-tw5armh8 171 13 the the DT cord-269711-tw5armh8 171 14 effectiveness effectiveness NN cord-269711-tw5armh8 171 15 of of IN cord-269711-tw5armh8 171 16 a a DT cord-269711-tw5armh8 171 17 vaccination vaccination NN cord-269711-tw5armh8 171 18 strategy strategy NN cord-269711-tw5armh8 171 19 is be VBZ cord-269711-tw5armh8 171 20 impossible impossible JJ cord-269711-tw5armh8 171 21 to to TO cord-269711-tw5armh8 171 22 predict predict VB cord-269711-tw5armh8 171 23 without without IN cord-269711-tw5armh8 171 24 having have VBG cord-269711-tw5armh8 171 25 reliable reliable JJ cord-269711-tw5armh8 171 26 data datum NNS cord-269711-tw5armh8 171 27 on on IN cord-269711-tw5armh8 171 28 the the DT cord-269711-tw5armh8 171 29 network network NN cord-269711-tw5armh8 171 30 topology topology NN cord-269711-tw5armh8 171 31 of of IN cord-269711-tw5armh8 171 32 the the DT cord-269711-tw5armh8 171 33 population population NN cord-269711-tw5armh8 171 34 . . . cord-269711-tw5armh8 172 1 Next next RB cord-269711-tw5armh8 172 2 , , , cord-269711-tw5armh8 172 3 we -PRON- PRP cord-269711-tw5armh8 172 4 consider consider VBP cord-269711-tw5armh8 172 5 the the DT cord-269711-tw5armh8 172 6 case case NN cord-269711-tw5armh8 172 7 where where WRB cord-269711-tw5armh8 172 8 instead instead RB cord-269711-tw5armh8 172 9 of of IN cord-269711-tw5armh8 172 10 the the DT cord-269711-tw5armh8 172 11 transmission transmission NN cord-269711-tw5armh8 172 12 rate rate NN cord-269711-tw5armh8 172 13 , , , cord-269711-tw5armh8 172 14 the the DT cord-269711-tw5armh8 172 15 initial initial JJ cord-269711-tw5armh8 172 16 growth growth NN cord-269711-tw5armh8 172 17 rate rate NN cord-269711-tw5armh8 172 18 is be VBZ cord-269711-tw5armh8 172 19 given give VBN cord-269711-tw5armh8 172 20 . . . cord-269711-tw5armh8 173 1 We -PRON- PRP cord-269711-tw5armh8 173 2 line line VBP cord-269711-tw5armh8 173 3 up up RP cord-269711-tw5armh8 173 4 incidence incidence NN cord-269711-tw5armh8 173 5 curves curve NNS cord-269711-tw5armh8 173 6 on on IN cord-269711-tw5armh8 173 7 various various JJ cord-269711-tw5armh8 173 8 network network NN cord-269711-tw5armh8 173 9 topologies topology NNS cord-269711-tw5armh8 173 10 to to IN cord-269711-tw5armh8 173 11 a a DT cord-269711-tw5armh8 173 12 growth growth NN cord-269711-tw5armh8 173 13 rate rate NN cord-269711-tw5armh8 173 14 l l NN cord-269711-tw5armh8 173 15 predicted predict VBN cord-269711-tw5armh8 173 16 by by IN cord-269711-tw5armh8 173 17 a a DT cord-269711-tw5armh8 173 18 homogeneous homogeneous JJ cord-269711-tw5armh8 173 19 mixing mix VBG cord-269711-tw5armh8 173 20 SIR SIR NNP cord-269711-tw5armh8 173 21 model model NN cord-269711-tw5armh8 173 22 with with IN cord-269711-tw5armh8 173 23 the the DT cord-269711-tw5armh8 173 24 basic basic JJ cord-269711-tw5armh8 173 25 reproduction reproduction NN cord-269711-tw5armh8 173 26 number number NN cord-269711-tw5armh8 173 27 R r NN cord-269711-tw5armh8 173 28 0 0 CD cord-269711-tw5armh8 173 29 ¼ ¼ NN cord-269711-tw5armh8 173 30 1:5 1:5 CD cord-269711-tw5armh8 173 31 and and CC cord-269711-tw5armh8 173 32 recovery recovery NN cord-269711-tw5armh8 173 33 rate rate NN cord-269711-tw5armh8 173 34 g g NN cord-269711-tw5armh8 173 35 ¼ ¼ NN cord-269711-tw5armh8 173 36 0:2 0:2 CD cord-269711-tw5armh8 174 1 ( ( -LRB- cord-269711-tw5armh8 174 2 in in IN cord-269711-tw5armh8 174 3 this this DT cord-269711-tw5armh8 174 4 case case NN cord-269711-tw5armh8 174 5 with with IN cord-269711-tw5armh8 174 6 exponential exponential JJ cord-269711-tw5armh8 174 7 , , , cord-269711-tw5armh8 174 8 l l NNP cord-269711-tw5armh8 174 9 ¼ ¼ NN cord-269711-tw5armh8 174 10 ðR ðr CD cord-269711-tw5armh8 174 11 0 0 CD cord-269711-tw5armh8 174 12 À1Þg à1þg CD cord-269711-tw5armh8 174 13 ¼ ¼ CD cord-269711-tw5armh8 174 14 0:1 0:1 CD cord-269711-tw5armh8 174 15 ) ) -RRB- cord-269711-tw5armh8 174 16 . . . cord-269711-tw5armh8 175 1 Table table NN cord-269711-tw5armh8 175 2 7 7 CD cord-269711-tw5armh8 175 3 summarizes summarize VBZ cord-269711-tw5armh8 175 4 the the DT cord-269711-tw5armh8 175 5 transmission transmission NN cord-269711-tw5armh8 175 6 rates rate NNS cord-269711-tw5armh8 175 7 that that WDT cord-269711-tw5armh8 175 8 yield yield VBP cord-269711-tw5armh8 175 9 this this DT cord-269711-tw5armh8 175 10 exponential exponential JJ cord-269711-tw5armh8 175 11 growth growth NN cord-269711-tw5armh8 175 12 rate rate NN cord-269711-tw5armh8 175 13 on on IN cord-269711-tw5armh8 175 14 the the DT cord-269711-tw5armh8 175 15 corresponding corresponding JJ cord-269711-tw5armh8 175 16 network network NN cord-269711-tw5armh8 175 17 topologies topology NNS cord-269711-tw5armh8 175 18 . . . cord-269711-tw5armh8 176 1 The the DT cord-269711-tw5armh8 176 2 initial initial JJ cord-269711-tw5armh8 176 3 number number NN cord-269711-tw5armh8 176 4 of of IN cord-269711-tw5armh8 176 5 infectious infectious JJ cord-269711-tw5armh8 176 6 individuals individual NNS cord-269711-tw5armh8 176 7 for for IN cord-269711-tw5armh8 176 8 models model NNS cord-269711-tw5armh8 176 9 on on IN cord-269711-tw5armh8 176 10 each each DT cord-269711-tw5armh8 176 11 network network NN cord-269711-tw5armh8 176 12 topology topology NN cord-269711-tw5armh8 176 13 needs need VBZ cord-269711-tw5armh8 176 14 to to TO cord-269711-tw5armh8 176 15 be be VB cord-269711-tw5armh8 176 16 adjusted adjust VBN cord-269711-tw5armh8 176 17 as as RB cord-269711-tw5armh8 176 18 well well RB cord-269711-tw5armh8 176 19 so so IN cord-269711-tw5armh8 176 20 that that IN cord-269711-tw5armh8 176 21 the the DT cord-269711-tw5armh8 176 22 curves curve NNS cord-269711-tw5armh8 176 23 line line VBP cord-269711-tw5armh8 176 24 up up RP cord-269711-tw5armh8 176 25 along along IN cord-269711-tw5armh8 176 26 the the DT cord-269711-tw5armh8 176 27 homogeneous homogeneous JJ cord-269711-tw5armh8 176 28 mixing mix VBG cord-269711-tw5armh8 176 29 SIR SIR NNP cord-269711-tw5armh8 176 30 incidence incidence NN cord-269711-tw5armh8 176 31 curve curve NN cord-269711-tw5armh8 176 32 for for IN cord-269711-tw5armh8 176 33 25 25 CD cord-269711-tw5armh8 176 34 days day NNS cord-269711-tw5armh8 176 35 . . . cord-269711-tw5armh8 177 1 As as IN cord-269711-tw5armh8 177 2 can can MD cord-269711-tw5armh8 177 3 be be VB cord-269711-tw5armh8 177 4 seen see VBN cord-269711-tw5armh8 177 5 from from IN cord-269711-tw5armh8 177 6 the the DT cord-269711-tw5armh8 177 7 table table NN cord-269711-tw5armh8 177 8 , , , cord-269711-tw5armh8 177 9 the the DT cord-269711-tw5armh8 177 10 variations variation NNS cord-269711-tw5armh8 177 11 in in IN cord-269711-tw5armh8 177 12 the the DT cord-269711-tw5armh8 177 13 parameters parameter NNS cord-269711-tw5armh8 177 14 are be VBP cord-269711-tw5armh8 177 15 indeed indeed RB cord-269711-tw5armh8 177 16 very very RB cord-269711-tw5armh8 177 17 large large JJ cord-269711-tw5armh8 177 18 , , , cord-269711-tw5armh8 177 19 with with IN cord-269711-tw5armh8 177 20 the the DT cord-269711-tw5armh8 177 21 transmission transmission NN cord-269711-tw5armh8 177 22 rate rate NN cord-269711-tw5armh8 177 23 for for IN cord-269711-tw5armh8 177 24 the the DT cord-269711-tw5armh8 177 25 small small JJ cord-269711-tw5armh8 177 26 world world NN cord-269711-tw5armh8 177 27 network network NN cord-269711-tw5armh8 177 28 being be VBG cord-269711-tw5armh8 177 29 nearly nearly RB cord-269711-tw5armh8 177 30 8 8 CD cord-269711-tw5armh8 177 31 times time NNS cord-269711-tw5armh8 177 32 the the DT cord-269711-tw5armh8 177 33 value value NN cord-269711-tw5armh8 177 34 of of IN cord-269711-tw5armh8 177 35 the the DT cord-269711-tw5armh8 177 36 transmission transmission NN cord-269711-tw5armh8 177 37 rate rate NN cord-269711-tw5armh8 177 38 for for IN cord-269711-tw5armh8 177 39 the the DT cord-269711-tw5armh8 177 40 scale scale NN cord-269711-tw5armh8 177 41 - - HYPH cord-269711-tw5armh8 177 42 free free JJ cord-269711-tw5armh8 177 43 network network NN cord-269711-tw5armh8 177 44 . . . cord-269711-tw5armh8 178 1 The the DT cord-269711-tw5armh8 178 2 incidence incidence NN cord-269711-tw5armh8 178 3 curves curve NNS cord-269711-tw5armh8 178 4 corresponding correspond VBG cord-269711-tw5armh8 178 5 to to IN cord-269711-tw5armh8 178 6 the the DT cord-269711-tw5armh8 178 7 parameters parameter NNS cord-269711-tw5armh8 178 8 in in IN cord-269711-tw5armh8 178 9 Table Table NNP cord-269711-tw5armh8 178 10 7 7 CD cord-269711-tw5armh8 178 11 are be VBP cord-269711-tw5armh8 178 12 shown show VBN cord-269711-tw5armh8 178 13 in in IN cord-269711-tw5armh8 178 14 Fig Fig NNP cord-269711-tw5armh8 178 15 . . . cord-269711-tw5armh8 179 1 6 6 LS cord-269711-tw5armh8 179 2 . . . cord-269711-tw5armh8 180 1 As as IN cord-269711-tw5armh8 180 2 can can MD cord-269711-tw5armh8 180 3 clearly clearly RB cord-269711-tw5armh8 180 4 be be VB cord-269711-tw5armh8 180 5 seen see VBN cord-269711-tw5armh8 180 6 , , , cord-269711-tw5armh8 180 7 for for IN cord-269711-tw5armh8 180 8 these these DT cord-269711-tw5armh8 180 9 parameters parameter NNS cord-269711-tw5armh8 180 10 , , , cord-269711-tw5armh8 180 11 the the DT cord-269711-tw5armh8 180 12 curves curve NNS cord-269711-tw5armh8 180 13 overlap overlap VBP cord-269711-tw5armh8 180 14 very very RB cord-269711-tw5armh8 180 15 well well RB cord-269711-tw5armh8 180 16 for for IN cord-269711-tw5armh8 180 17 the the DT cord-269711-tw5armh8 180 18 first first JJ cord-269711-tw5armh8 180 19 25 25 CD cord-269711-tw5armh8 180 20 days day NNS cord-269711-tw5armh8 180 21 , , , cord-269711-tw5armh8 180 22 thus thus RB cord-269711-tw5armh8 180 23 showing show VBG cord-269711-tw5armh8 180 24 indeed indeed RB cord-269711-tw5armh8 180 25 the the DT cord-269711-tw5armh8 180 26 desired desire VBN cord-269711-tw5armh8 180 27 identical identical JJ cord-269711-tw5armh8 180 28 initial initial JJ cord-269711-tw5armh8 180 29 growth growth NN cord-269711-tw5armh8 180 30 rates rate NNS cord-269711-tw5armh8 180 31 . . . cord-269711-tw5armh8 181 1 However however RB cord-269711-tw5armh8 181 2 , , , cord-269711-tw5armh8 181 3 it -PRON- PRP cord-269711-tw5armh8 181 4 is be VBZ cord-269711-tw5armh8 181 5 also also RB cord-269711-tw5armh8 181 6 clear clear JJ cord-269711-tw5armh8 181 7 that that IN cord-269711-tw5armh8 181 8 the the DT cord-269711-tw5armh8 181 9 curves curve NNS cord-269711-tw5armh8 181 10 diverge diverge VBP cord-269711-tw5armh8 181 11 strongly strongly RB cord-269711-tw5armh8 181 12 later later RB cord-269711-tw5armh8 181 13 on on RB cord-269711-tw5armh8 181 14 , , , cord-269711-tw5armh8 181 15 with with IN cord-269711-tw5armh8 181 16 the the DT cord-269711-tw5armh8 181 17 epidemic epidemic NN cord-269711-tw5armh8 181 18 on on IN cord-269711-tw5armh8 181 19 the the DT cord-269711-tw5armh8 181 20 small small JJ cord-269711-tw5armh8 181 21 world world NN cord-269711-tw5armh8 181 22 network network NN cord-269711-tw5armh8 181 23 being be VBG cord-269711-tw5armh8 181 24 the the DT cord-269711-tw5armh8 181 25 most most RBS cord-269711-tw5armh8 181 26 severe severe JJ cord-269711-tw5armh8 181 27 . . . cord-269711-tw5armh8 182 1 These these DT cord-269711-tw5armh8 182 2 results result NNS cord-269711-tw5armh8 182 3 show show VBP cord-269711-tw5armh8 182 4 that that IN cord-269711-tw5armh8 182 5 the the DT cord-269711-tw5armh8 182 6 spread spread NN cord-269711-tw5armh8 182 7 of of IN cord-269711-tw5armh8 182 8 an an DT cord-269711-tw5armh8 182 9 epidemic epidemic NN cord-269711-tw5armh8 182 10 can can MD cord-269711-tw5armh8 182 11 not not RB cord-269711-tw5armh8 182 12 be be VB cord-269711-tw5armh8 182 13 predicted predict VBN cord-269711-tw5armh8 182 14 on on IN cord-269711-tw5armh8 182 15 the the DT cord-269711-tw5armh8 182 16 basis basis NN cord-269711-tw5armh8 182 17 of of IN cord-269711-tw5armh8 182 18 having have VBG cord-269711-tw5armh8 182 19 a a DT cord-269711-tw5armh8 182 20 good good JJ cord-269711-tw5armh8 182 21 estimate estimate NN cord-269711-tw5armh8 182 22 of of IN cord-269711-tw5armh8 182 23 the the DT cord-269711-tw5armh8 182 24 growth growth NN cord-269711-tw5armh8 182 25 rate rate NN cord-269711-tw5armh8 182 26 alone alone RB cord-269711-tw5armh8 182 27 . . . cord-269711-tw5armh8 183 1 In in IN cord-269711-tw5armh8 183 2 addition addition NN cord-269711-tw5armh8 183 3 , , , cord-269711-tw5armh8 183 4 comparing compare VBG cord-269711-tw5armh8 183 5 Figs fig NNS cord-269711-tw5armh8 183 6 . . . cord-269711-tw5armh8 184 1 1 1 CD cord-269711-tw5armh8 184 2 and and CC cord-269711-tw5armh8 184 3 6 6 CD cord-269711-tw5armh8 184 4 , , , cord-269711-tw5armh8 184 5 a a DT cord-269711-tw5armh8 184 6 higher high JJR cord-269711-tw5armh8 184 7 transmission transmission NN cord-269711-tw5armh8 184 8 rate rate NN cord-269711-tw5armh8 184 9 yields yield NNS cord-269711-tw5armh8 184 10 a a DT cord-269711-tw5armh8 184 11 much much RB cord-269711-tw5armh8 184 12 larger large JJR cord-269711-tw5armh8 184 13 final final JJ cord-269711-tw5armh8 184 14 size size NN cord-269711-tw5armh8 184 15 and and CC cord-269711-tw5armh8 184 16 a a DT cord-269711-tw5armh8 184 17 longer long JJR cord-269711-tw5armh8 184 18 epidemic epidemic NN cord-269711-tw5armh8 184 19 on on IN cord-269711-tw5armh8 184 20 the the DT cord-269711-tw5armh8 184 21 meta meta JJ cord-269711-tw5armh8 184 22 - - HYPH cord-269711-tw5armh8 184 23 random random JJ cord-269711-tw5armh8 184 24 network network NN cord-269711-tw5armh8 184 25 . . . cord-269711-tw5armh8 185 1 The the DT cord-269711-tw5armh8 185 2 effects effect NNS cord-269711-tw5armh8 185 3 of of IN cord-269711-tw5armh8 185 4 the the DT cord-269711-tw5armh8 185 5 various various JJ cord-269711-tw5armh8 185 6 vaccination vaccination NN cord-269711-tw5armh8 185 7 strategies strategy NNS cord-269711-tw5armh8 185 8 for for IN cord-269711-tw5armh8 185 9 the the DT cord-269711-tw5armh8 185 10 case case NN cord-269711-tw5armh8 185 11 of of IN cord-269711-tw5armh8 185 12 a a DT cord-269711-tw5armh8 185 13 given give VBN cord-269711-tw5armh8 185 14 growth growth NN cord-269711-tw5armh8 185 15 rate rate NN cord-269711-tw5armh8 185 16 are be VBP cord-269711-tw5armh8 185 17 shown show VBN cord-269711-tw5armh8 185 18 in in IN cord-269711-tw5armh8 185 19 Fig Fig NNP cord-269711-tw5armh8 185 20 . . . cord-269711-tw5armh8 186 1 7 7 CD cord-269711-tw5armh8 186 2 . . . cord-269711-tw5armh8 187 1 Given give VBN cord-269711-tw5armh8 187 2 the the DT cord-269711-tw5armh8 187 3 large large JJ cord-269711-tw5armh8 187 4 differences difference NNS cord-269711-tw5armh8 187 5 in in IN cord-269711-tw5armh8 187 6 the the DT cord-269711-tw5armh8 187 7 transmission transmission NN cord-269711-tw5armh8 187 8 rates rate NNS cord-269711-tw5armh8 187 9 , , , cord-269711-tw5armh8 187 10 it -PRON- PRP cord-269711-tw5armh8 187 11 may may MD cord-269711-tw5armh8 187 12 be be VB cord-269711-tw5armh8 187 13 expected expect VBN cord-269711-tw5armh8 187 14 that that IN cord-269711-tw5armh8 187 15 the the DT cord-269711-tw5armh8 187 16 final final JJ cord-269711-tw5armh8 187 17 sizes size NNS cord-269711-tw5armh8 187 18 show show VBP cord-269711-tw5armh8 187 19 significant significant JJ cord-269711-tw5armh8 187 20 differences difference NNS cord-269711-tw5armh8 187 21 as as RB cord-269711-tw5armh8 187 22 well well RB cord-269711-tw5armh8 187 23 . . . cord-269711-tw5armh8 188 1 This this DT cord-269711-tw5armh8 188 2 is be VBZ cord-269711-tw5armh8 188 3 indeed indeed RB cord-269711-tw5armh8 188 4 the the DT cord-269711-tw5armh8 188 5 case case NN cord-269711-tw5armh8 188 6 as as IN cord-269711-tw5armh8 188 7 can can MD cord-269711-tw5armh8 188 8 be be VB cord-269711-tw5armh8 188 9 seen see VBN cord-269711-tw5armh8 188 10 in in IN cord-269711-tw5armh8 188 11 Table Table NNP cord-269711-tw5armh8 188 12 8 8 CD cord-269711-tw5armh8 188 13 , , , cord-269711-tw5armh8 188 14 which which WDT cord-269711-tw5armh8 188 15 shows show VBZ cord-269711-tw5armh8 188 16 the the DT cord-269711-tw5armh8 188 17 percentage percentage NN cord-269711-tw5armh8 188 18 reduction reduction NN cord-269711-tw5armh8 188 19 in in IN cord-269711-tw5armh8 188 20 final final JJ cord-269711-tw5armh8 188 21 sizes size NNS cord-269711-tw5armh8 188 22 for for IN cord-269711-tw5armh8 188 23 the the DT cord-269711-tw5armh8 188 24 various various JJ cord-269711-tw5armh8 188 25 vaccination vaccination NN cord-269711-tw5armh8 188 26 strategies strategy NNS cord-269711-tw5armh8 188 27 . . . cord-269711-tw5armh8 189 1 With with IN cord-269711-tw5armh8 189 2 no no DT cord-269711-tw5armh8 189 3 vaccination vaccination NN cord-269711-tw5armh8 189 4 , , , cord-269711-tw5armh8 189 5 the the DT cord-269711-tw5armh8 189 6 final final JJ cord-269711-tw5armh8 189 7 size size NN cord-269711-tw5armh8 189 8 of of IN cord-269711-tw5armh8 189 9 the the DT cord-269711-tw5armh8 189 10 small small JJ cord-269711-tw5armh8 189 11 world world NN cord-269711-tw5armh8 189 12 network network NN cord-269711-tw5armh8 189 13 is be VBZ cord-269711-tw5armh8 189 14 more more JJR cord-269711-tw5armh8 189 15 than than IN cord-269711-tw5armh8 189 16 3 3 CD cord-269711-tw5armh8 189 17 times time NNS cord-269711-tw5armh8 189 18 that that DT cord-269711-tw5armh8 189 19 of of IN cord-269711-tw5armh8 189 20 the the DT cord-269711-tw5armh8 189 21 scale scale NN cord-269711-tw5armh8 189 22 - - HYPH cord-269711-tw5armh8 189 23 free free JJ cord-269711-tw5armh8 189 24 network network NN cord-269711-tw5armh8 189 25 , , , cord-269711-tw5armh8 189 26 but but CC cord-269711-tw5armh8 189 27 for for IN cord-269711-tw5armh8 189 28 all all DT cord-269711-tw5armh8 189 29 except except IN cord-269711-tw5armh8 189 30 the the DT cord-269711-tw5armh8 189 31 follow follow NN cord-269711-tw5armh8 189 32 links link NNS cord-269711-tw5armh8 189 33 vaccination vaccination NN cord-269711-tw5armh8 189 34 strategy strategy NN cord-269711-tw5armh8 189 35 the the DT cord-269711-tw5armh8 189 36 percentage percentage NN cord-269711-tw5armh8 189 37 reduction reduction NN cord-269711-tw5armh8 189 38 on on IN cord-269711-tw5armh8 189 39 the the DT cord-269711-tw5armh8 189 40 small small JJ cord-269711-tw5armh8 189 41 world world NN cord-269711-tw5armh8 189 42 network network NN cord-269711-tw5armh8 189 43 is be VBZ cord-269711-tw5armh8 189 44 greater great JJR cord-269711-tw5armh8 189 45 . . . cord-269711-tw5armh8 190 1 The the DT cord-269711-tw5armh8 190 2 effects effect NNS cord-269711-tw5armh8 190 3 of of IN cord-269711-tw5armh8 190 4 a a DT cord-269711-tw5armh8 190 5 40-day 40-day CD cord-269711-tw5armh8 190 6 delay delay NN cord-269711-tw5armh8 190 7 in in IN cord-269711-tw5armh8 190 8 the the DT cord-269711-tw5armh8 190 9 start start NN cord-269711-tw5armh8 190 10 of of IN cord-269711-tw5armh8 190 11 the the DT cord-269711-tw5armh8 190 12 vaccination vaccination NN cord-269711-tw5armh8 190 13 are be VBP cord-269711-tw5armh8 190 14 shown show VBN cord-269711-tw5armh8 190 15 in in IN cord-269711-tw5armh8 190 16 Fig Fig NNP cord-269711-tw5armh8 190 17 . . . cord-269711-tw5armh8 191 1 8 8 CD cord-269711-tw5armh8 191 2 and and CC cord-269711-tw5armh8 191 3 Table Table NNP cord-269711-tw5armh8 191 4 9 9 CD cord-269711-tw5armh8 191 5 . . . cord-269711-tw5armh8 192 1 Besides besides IN cord-269711-tw5armh8 192 2 the the DT cord-269711-tw5armh8 192 3 delay delay NN cord-269711-tw5armh8 192 4 , , , cord-269711-tw5armh8 192 5 all all PDT cord-269711-tw5armh8 192 6 the the DT cord-269711-tw5armh8 192 7 parameters parameter NNS cord-269711-tw5armh8 192 8 are be VBP cord-269711-tw5armh8 192 9 identical identical JJ cord-269711-tw5armh8 192 10 to to IN cord-269711-tw5armh8 192 11 those those DT cord-269711-tw5armh8 192 12 in in IN cord-269711-tw5armh8 192 13 Fig Fig NNP cord-269711-tw5armh8 192 14 . . . cord-269711-tw5armh8 193 1 7 7 CD cord-269711-tw5armh8 193 2 and and CC cord-269711-tw5armh8 193 3 Table Table NNP cord-269711-tw5armh8 193 4 8 8 CD cord-269711-tw5armh8 193 5 . . . cord-269711-tw5armh8 194 1 The the DT cord-269711-tw5armh8 194 2 delay delay NN cord-269711-tw5armh8 194 3 has have VBZ cord-269711-tw5armh8 194 4 the the DT cord-269711-tw5armh8 194 5 largest large JJS cord-269711-tw5armh8 194 6 effect effect NN cord-269711-tw5armh8 194 7 on on IN cord-269711-tw5armh8 194 8 the the DT cord-269711-tw5armh8 194 9 final final JJ cord-269711-tw5armh8 194 10 sizes size NNS cord-269711-tw5armh8 194 11 of of IN cord-269711-tw5armh8 194 12 the the DT cord-269711-tw5armh8 194 13 small small JJ cord-269711-tw5armh8 194 14 world world NN cord-269711-tw5armh8 194 15 network network NN cord-269711-tw5armh8 194 16 , , , cord-269711-tw5armh8 194 17 increasing increase VBG cord-269711-tw5armh8 194 18 it -PRON- PRP cord-269711-tw5armh8 194 19 by by IN cord-269711-tw5armh8 194 20 a a DT cord-269711-tw5armh8 194 21 factor factor NN cord-269711-tw5armh8 194 22 of of IN cord-269711-tw5armh8 194 23 20 20 CD cord-269711-tw5armh8 194 24 - - SYM cord-269711-tw5armh8 194 25 30 30 CD cord-269711-tw5armh8 194 26 except except IN cord-269711-tw5armh8 194 27 in in IN cord-269711-tw5armh8 194 28 the the DT cord-269711-tw5armh8 194 29 follow follow NN cord-269711-tw5armh8 194 30 links link NNS cord-269711-tw5armh8 194 31 case case NN cord-269711-tw5armh8 194 32 . . . cord-269711-tw5armh8 195 1 On on IN cord-269711-tw5armh8 195 2 a a DT cord-269711-tw5armh8 195 3 scale scale NN cord-269711-tw5armh8 195 4 - - HYPH cord-269711-tw5armh8 195 5 free free JJ cord-269711-tw5armh8 195 6 network network NN cord-269711-tw5armh8 195 7 , , , cord-269711-tw5armh8 195 8 the the DT cord-269711-tw5armh8 195 9 delay delay NN cord-269711-tw5armh8 195 10 renders render VBZ cord-269711-tw5armh8 195 11 all all DT cord-269711-tw5armh8 195 12 vaccination vaccination NN cord-269711-tw5armh8 195 13 strategies strategy NNS cord-269711-tw5armh8 195 14 nearly nearly RB cord-269711-tw5armh8 195 15 ineffective ineffective JJ cord-269711-tw5armh8 195 16 . . . cord-269711-tw5armh8 196 1 These these DT cord-269711-tw5armh8 196 2 results result NNS cord-269711-tw5armh8 196 3 also also RB cord-269711-tw5armh8 196 4 confirm confirm VBP cord-269711-tw5armh8 196 5 the the DT cord-269711-tw5armh8 196 6 importance importance NN cord-269711-tw5armh8 196 7 of of IN cord-269711-tw5armh8 196 8 network network NN cord-269711-tw5armh8 196 9 topology topology NN cord-269711-tw5armh8 196 10 in in IN cord-269711-tw5armh8 196 11 disease disease NN cord-269711-tw5armh8 196 12 spread spread VBD cord-269711-tw5armh8 196 13 even even RB cord-269711-tw5armh8 196 14 when when WRB cord-269711-tw5armh8 196 15 the the DT cord-269711-tw5armh8 196 16 incidence incidence NN cord-269711-tw5armh8 196 17 curves curve NNS cord-269711-tw5armh8 196 18 have have VBP cord-269711-tw5armh8 196 19 identical identical JJ cord-269711-tw5armh8 196 20 initial initial JJ cord-269711-tw5armh8 196 21 growth growth NN cord-269711-tw5armh8 196 22 . . . cord-269711-tw5armh8 197 1 The the DT cord-269711-tw5armh8 197 2 initial initial JJ cord-269711-tw5armh8 197 3 stages stage NNS cord-269711-tw5armh8 197 4 of of IN cord-269711-tw5armh8 197 5 an an DT cord-269711-tw5armh8 197 6 epidemic epidemic NN cord-269711-tw5armh8 197 7 are be VBP cord-269711-tw5armh8 197 8 insufficient insufficient JJ cord-269711-tw5armh8 197 9 to to TO cord-269711-tw5armh8 197 10 estimate estimate VB cord-269711-tw5armh8 197 11 the the DT cord-269711-tw5armh8 197 12 effectiveness effectiveness NN cord-269711-tw5armh8 197 13 of of IN cord-269711-tw5armh8 197 14 a a DT cord-269711-tw5armh8 197 15 vaccination vaccination NN cord-269711-tw5armh8 197 16 strategy strategy NN cord-269711-tw5armh8 197 17 on on IN cord-269711-tw5armh8 197 18 reducing reduce VBG cord-269711-tw5armh8 197 19 the the DT cord-269711-tw5armh8 197 20 peak peak NN cord-269711-tw5armh8 197 21 or or CC cord-269711-tw5armh8 197 22 final final JJ cord-269711-tw5armh8 197 23 size size NN cord-269711-tw5armh8 197 24 of of IN cord-269711-tw5armh8 197 25 an an DT cord-269711-tw5armh8 197 26 epidemic epidemic NN cord-269711-tw5armh8 197 27 . . . cord-269711-tw5armh8 198 1 The the DT cord-269711-tw5armh8 198 2 relative relative JJ cord-269711-tw5armh8 198 3 importance importance NN cord-269711-tw5armh8 198 4 of of IN cord-269711-tw5armh8 198 5 network network NN cord-269711-tw5armh8 198 6 topology topology NN cord-269711-tw5armh8 198 7 on on IN cord-269711-tw5armh8 198 8 the the DT cord-269711-tw5armh8 198 9 predictability predictability NN cord-269711-tw5armh8 198 10 of of IN cord-269711-tw5armh8 198 11 incidence incidence NN cord-269711-tw5armh8 198 12 curves curve NNS cord-269711-tw5armh8 198 13 was be VBD cord-269711-tw5armh8 198 14 investigated investigate VBN cord-269711-tw5armh8 198 15 . . . cord-269711-tw5armh8 199 1 This this DT cord-269711-tw5armh8 199 2 was be VBD cord-269711-tw5armh8 199 3 done do VBN cord-269711-tw5armh8 199 4 by by IN cord-269711-tw5armh8 199 5 considering consider VBG cord-269711-tw5armh8 199 6 whether whether IN cord-269711-tw5armh8 199 7 the the DT cord-269711-tw5armh8 199 8 effectiveness effectiveness NN cord-269711-tw5armh8 199 9 of of IN cord-269711-tw5armh8 199 10 several several JJ cord-269711-tw5armh8 199 11 vaccination vaccination NN cord-269711-tw5armh8 199 12 strategies strategy NNS cord-269711-tw5armh8 199 13 is be VBZ cord-269711-tw5armh8 199 14 impacted impact VBN cord-269711-tw5armh8 199 15 by by IN cord-269711-tw5armh8 199 16 topology topology NN cord-269711-tw5armh8 199 17 , , , cord-269711-tw5armh8 199 18 and and CC cord-269711-tw5armh8 199 19 whether whether IN cord-269711-tw5armh8 199 20 the the DT cord-269711-tw5armh8 199 21 growth growth NN cord-269711-tw5armh8 199 22 in in IN cord-269711-tw5armh8 199 23 the the DT cord-269711-tw5armh8 199 24 daily daily JJ cord-269711-tw5armh8 199 25 incidences incidence NNS cord-269711-tw5armh8 199 26 has have VBZ cord-269711-tw5armh8 199 27 a a DT cord-269711-tw5armh8 199 28 network network NN cord-269711-tw5armh8 199 29 topology topology NN cord-269711-tw5armh8 199 30 independent independent JJ cord-269711-tw5armh8 199 31 relation relation NN cord-269711-tw5armh8 199 32 with with IN cord-269711-tw5armh8 199 33 the the DT cord-269711-tw5armh8 199 34 disease disease NN cord-269711-tw5armh8 199 35 transmission transmission NN cord-269711-tw5armh8 199 36 rate rate NN cord-269711-tw5armh8 199 37 . . . cord-269711-tw5armh8 200 1 It -PRON- PRP cord-269711-tw5armh8 200 2 was be VBD cord-269711-tw5armh8 200 3 found find VBN cord-269711-tw5armh8 200 4 that that IN cord-269711-tw5armh8 200 5 without without IN cord-269711-tw5armh8 200 6 a a DT cord-269711-tw5armh8 200 7 fairly fairly RB cord-269711-tw5armh8 200 8 detailed detailed JJ cord-269711-tw5armh8 200 9 knowledge knowledge NN cord-269711-tw5armh8 200 10 of of IN cord-269711-tw5armh8 200 11 the the DT cord-269711-tw5armh8 200 12 network network NN cord-269711-tw5armh8 200 13 topology topology NN cord-269711-tw5armh8 200 14 , , , cord-269711-tw5armh8 200 15 initial initial JJ cord-269711-tw5armh8 200 16 data datum NNS cord-269711-tw5armh8 200 17 can can MD cord-269711-tw5armh8 200 18 not not RB cord-269711-tw5armh8 200 19 predict predict VB cord-269711-tw5armh8 200 20 epidemic epidemic NN cord-269711-tw5armh8 200 21 progression progression NN cord-269711-tw5armh8 200 22 . . . cord-269711-tw5armh8 201 1 This this DT cord-269711-tw5armh8 201 2 is be VBZ cord-269711-tw5armh8 201 3 so so RB cord-269711-tw5armh8 201 4 for for IN cord-269711-tw5armh8 201 5 both both CC cord-269711-tw5armh8 201 6 a a DT cord-269711-tw5armh8 201 7 given give VBN cord-269711-tw5armh8 201 8 transmission transmission NN cord-269711-tw5armh8 201 9 rate rate NN cord-269711-tw5armh8 201 10 b b NN cord-269711-tw5armh8 201 11 and and CC cord-269711-tw5armh8 201 12 a a DT cord-269711-tw5armh8 201 13 given give VBN cord-269711-tw5armh8 201 14 growth growth NN cord-269711-tw5armh8 201 15 rate rate NN cord-269711-tw5armh8 201 16 l. l. NN cord-269711-tw5armh8 202 1 For for IN cord-269711-tw5armh8 202 2 a a DT cord-269711-tw5armh8 202 3 fixed fix VBN cord-269711-tw5armh8 202 4 transmission transmission NN cord-269711-tw5armh8 202 5 rate rate NN cord-269711-tw5armh8 202 6 and and CC cord-269711-tw5armh8 202 7 thus thus RB cord-269711-tw5armh8 202 8 a a DT cord-269711-tw5armh8 202 9 fixed fix VBN cord-269711-tw5armh8 202 10 per per IN cord-269711-tw5armh8 202 11 link link NN cord-269711-tw5armh8 202 12 transmission transmission NN cord-269711-tw5armh8 202 13 probability probability NN cord-269711-tw5armh8 202 14 , , , cord-269711-tw5armh8 202 15 given give VBN cord-269711-tw5armh8 202 16 that that IN cord-269711-tw5armh8 202 17 a a DT cord-269711-tw5armh8 202 18 disease disease NN cord-269711-tw5armh8 202 19 spreads spread VBZ cord-269711-tw5armh8 202 20 on on IN cord-269711-tw5armh8 202 21 a a DT cord-269711-tw5armh8 202 22 network network NN cord-269711-tw5armh8 202 23 with with IN cord-269711-tw5armh8 202 24 a a DT cord-269711-tw5armh8 202 25 fixed fix VBN cord-269711-tw5armh8 202 26 average average JJ cord-269711-tw5armh8 202 27 degree degree NN cord-269711-tw5armh8 202 28 , , , cord-269711-tw5armh8 202 29 the the DT cord-269711-tw5armh8 202 30 disease disease NN cord-269711-tw5armh8 202 31 spreads spread VBZ cord-269711-tw5armh8 202 32 fastest fast RBS cord-269711-tw5armh8 202 33 on on IN cord-269711-tw5armh8 202 34 scale scale NN cord-269711-tw5armh8 202 35 - - HYPH cord-269711-tw5armh8 202 36 free free JJ cord-269711-tw5armh8 202 37 networks network NNS cord-269711-tw5armh8 202 38 because because IN cord-269711-tw5armh8 202 39 high high JJ cord-269711-tw5armh8 202 40 degree degree NN cord-269711-tw5armh8 202 41 nodes node NNS cord-269711-tw5armh8 202 42 have have VBP cord-269711-tw5armh8 202 43 a a DT cord-269711-tw5armh8 202 44 very very RB cord-269711-tw5armh8 202 45 high high JJ cord-269711-tw5armh8 202 46 probability probability NN cord-269711-tw5armh8 202 47 to to TO cord-269711-tw5armh8 202 48 be be VB cord-269711-tw5armh8 202 49 infected infect VBN cord-269711-tw5armh8 202 50 as as RB cord-269711-tw5armh8 202 51 soon soon RB cord-269711-tw5armh8 202 52 as as IN cord-269711-tw5armh8 202 53 the the DT cord-269711-tw5armh8 202 54 epidemic epidemic NN cord-269711-tw5armh8 202 55 progresses progress VBZ cord-269711-tw5armh8 202 56 . . . cord-269711-tw5armh8 203 1 In in IN cord-269711-tw5armh8 203 2 turn turn NN cord-269711-tw5armh8 203 3 , , , cord-269711-tw5armh8 203 4 once once RB cord-269711-tw5armh8 203 5 a a DT cord-269711-tw5armh8 203 6 high high JJ cord-269711-tw5armh8 203 7 degree degree NN cord-269711-tw5armh8 203 8 node node NN cord-269711-tw5armh8 203 9 is be VBZ cord-269711-tw5armh8 203 10 infected infect VBN cord-269711-tw5armh8 203 11 , , , cord-269711-tw5armh8 203 12 on on IN cord-269711-tw5armh8 203 13 average average JJ cord-269711-tw5armh8 203 14 it -PRON- PRP cord-269711-tw5armh8 203 15 passes pass VBZ cord-269711-tw5armh8 203 16 on on IN cord-269711-tw5armh8 203 17 the the DT cord-269711-tw5armh8 203 18 infection infection NN cord-269711-tw5armh8 203 19 to to IN cord-269711-tw5armh8 203 20 a a DT cord-269711-tw5armh8 203 21 large large JJ cord-269711-tw5armh8 203 22 number number NN cord-269711-tw5armh8 203 23 of of IN cord-269711-tw5armh8 203 24 neighbors neighbor NNS cord-269711-tw5armh8 203 25 . . . cord-269711-tw5armh8 204 1 The the DT cord-269711-tw5armh8 204 2 random random JJ cord-269711-tw5armh8 204 3 and and CC cord-269711-tw5armh8 204 4 meta meta JJ cord-269711-tw5armh8 204 5 - - HYPH cord-269711-tw5armh8 204 6 random random JJ cord-269711-tw5armh8 204 7 networks network NNS cord-269711-tw5armh8 204 8 show show VBP cord-269711-tw5armh8 204 9 identical identical JJ cord-269711-tw5armh8 204 10 initial initial JJ cord-269711-tw5armh8 204 11 growth growth NN cord-269711-tw5armh8 204 12 rates rate NNS cord-269711-tw5armh8 204 13 because because IN cord-269711-tw5armh8 204 14 they -PRON- PRP cord-269711-tw5armh8 204 15 have have VBP cord-269711-tw5armh8 204 16 the the DT cord-269711-tw5armh8 204 17 same same JJ cord-269711-tw5armh8 204 18 local local JJ cord-269711-tw5armh8 204 19 network network NN cord-269711-tw5armh8 204 20 topology topology NN cord-269711-tw5armh8 204 21 . . . cord-269711-tw5armh8 205 1 On on IN cord-269711-tw5armh8 205 2 different different JJ cord-269711-tw5armh8 205 3 Table table NN cord-269711-tw5armh8 205 4 1 1 CD cord-269711-tw5armh8 205 5 without without IN cord-269711-tw5armh8 205 6 vaccination vaccination NN cord-269711-tw5armh8 205 7 for for IN cord-269711-tw5armh8 205 8 the the DT cord-269711-tw5armh8 205 9 case case NN cord-269711-tw5armh8 205 10 where where WRB cord-269711-tw5armh8 205 11 the the DT cord-269711-tw5armh8 205 12 initial initial JJ cord-269711-tw5armh8 205 13 growth growth NN cord-269711-tw5armh8 205 14 rate rate NN cord-269711-tw5armh8 205 15 is be VBZ cord-269711-tw5armh8 205 16 given give VBN cord-269711-tw5armh8 205 17 . . . cord-269711-tw5armh8 206 1 The the DT cord-269711-tw5armh8 206 2 transmission transmission NN cord-269711-tw5armh8 206 3 rates rate NNS cord-269711-tw5armh8 206 4 and and CC cord-269711-tw5armh8 206 5 initial initial JJ cord-269711-tw5armh8 206 6 number number NN cord-269711-tw5armh8 206 7 of of IN cord-269711-tw5armh8 206 8 infections infection NNS cord-269711-tw5armh8 206 9 for for IN cord-269711-tw5armh8 206 10 the the DT cord-269711-tw5armh8 206 11 various various JJ cord-269711-tw5armh8 206 12 network network NN cord-269711-tw5armh8 206 13 topologies topology NNS cord-269711-tw5armh8 206 14 are be VBP cord-269711-tw5armh8 206 15 given give VBN cord-269711-tw5armh8 206 16 in in IN cord-269711-tw5armh8 206 17 Table Table NNP cord-269711-tw5armh8 206 18 7 7 CD cord-269711-tw5armh8 206 19 , , , cord-269711-tw5armh8 206 20 while while IN cord-269711-tw5armh8 206 21 the the DT cord-269711-tw5armh8 206 22 remaining remain VBG cord-269711-tw5armh8 206 23 parameters parameter NNS cord-269711-tw5armh8 206 24 are be VBP cord-269711-tw5armh8 206 25 the the DT cord-269711-tw5armh8 206 26 same same JJ cord-269711-tw5armh8 206 27 as as IN cord-269711-tw5armh8 206 28 in in IN cord-269711-tw5armh8 206 29 Fig Fig NNP cord-269711-tw5armh8 206 30 . . . cord-269711-tw5armh8 207 1 1 1 CD cord-269711-tw5armh8 207 2 Meta Meta NNP cord-269711-tw5armh8 207 3 - - HYPH cord-269711-tw5armh8 207 4 random random JJ cord-269711-tw5armh8 207 5 network network NN cord-269711-tw5armh8 207 6 Fig Fig NNP cord-269711-tw5armh8 207 7 . . NNP cord-269711-tw5armh8 207 8 7 7 CD cord-269711-tw5armh8 207 9 . . . cord-269711-tw5armh8 208 1 The the DT cord-269711-tw5armh8 208 2 effects effect NNS cord-269711-tw5armh8 208 3 of of IN cord-269711-tw5armh8 208 4 the the DT cord-269711-tw5armh8 208 5 vaccination vaccination NN cord-269711-tw5armh8 208 6 strategies strategy NNS cord-269711-tw5armh8 208 7 for for IN cord-269711-tw5armh8 208 8 different different JJ cord-269711-tw5armh8 208 9 topologies topology NNS cord-269711-tw5armh8 208 10 when when WRB cord-269711-tw5armh8 208 11 the the DT cord-269711-tw5armh8 208 12 initial initial JJ cord-269711-tw5armh8 208 13 growth growth NN cord-269711-tw5armh8 208 14 rate rate NN cord-269711-tw5armh8 208 15 is be VBZ cord-269711-tw5armh8 208 16 given give VBN cord-269711-tw5armh8 208 17 . . . cord-269711-tw5armh8 209 1 The the DT cord-269711-tw5armh8 209 2 transmission transmission NN cord-269711-tw5armh8 209 3 rates rate NNS cord-269711-tw5armh8 209 4 b b VBN cord-269711-tw5armh8 209 5 are be VBP cord-269711-tw5armh8 209 6 as as RB cord-269711-tw5armh8 209 7 indicated indicate VBN cord-269711-tw5armh8 209 8 in in IN cord-269711-tw5armh8 209 9 Table Table NNP cord-269711-tw5armh8 209 10 7 7 CD cord-269711-tw5armh8 209 11 , , , cord-269711-tw5armh8 209 12 while while IN cord-269711-tw5armh8 209 13 the the DT cord-269711-tw5armh8 209 14 remaining remain VBG cord-269711-tw5armh8 209 15 parameters parameter NNS cord-269711-tw5armh8 209 16 are be VBP cord-269711-tw5armh8 209 17 identical identical JJ cord-269711-tw5armh8 209 18 to to IN cord-269711-tw5armh8 209 19 those those DT cord-269711-tw5armh8 209 20 in in IN cord-269711-tw5armh8 209 21 Fig Fig NNP cord-269711-tw5armh8 209 22 . . . cord-269711-tw5armh8 210 1 6 6 LS cord-269711-tw5armh8 210 2 . . . cord-269711-tw5armh8 211 1 network network NN cord-269711-tw5armh8 211 2 topologies topology NNS cord-269711-tw5armh8 211 3 , , , cord-269711-tw5armh8 211 4 diseases disease NNS cord-269711-tw5armh8 211 5 respond respond VBP cord-269711-tw5armh8 211 6 differently differently RB cord-269711-tw5armh8 211 7 to to TO cord-269711-tw5armh8 211 8 parameter parameter VB cord-269711-tw5armh8 211 9 changes change NNS cord-269711-tw5armh8 211 10 . . . cord-269711-tw5armh8 212 1 For for IN cord-269711-tw5armh8 212 2 example example NN cord-269711-tw5armh8 212 3 , , , cord-269711-tw5armh8 212 4 on on IN cord-269711-tw5armh8 212 5 the the DT cord-269711-tw5armh8 212 6 random random JJ cord-269711-tw5armh8 212 7 network network NN cord-269711-tw5armh8 212 8 , , , cord-269711-tw5armh8 212 9 a a DT cord-269711-tw5armh8 212 10 higher high JJR cord-269711-tw5armh8 212 11 transmission transmission NN cord-269711-tw5armh8 212 12 rate rate NN cord-269711-tw5armh8 212 13 yields yield NNS cord-269711-tw5armh8 212 14 a a DT cord-269711-tw5armh8 212 15 much much RB cord-269711-tw5armh8 212 16 shorter short JJR cord-269711-tw5armh8 212 17 epidemic epidemic NN cord-269711-tw5armh8 212 18 , , , cord-269711-tw5armh8 212 19 whereas whereas IN cord-269711-tw5armh8 212 20 on on IN cord-269711-tw5armh8 212 21 the the DT cord-269711-tw5armh8 212 22 metarandom metarandom NNP cord-269711-tw5armh8 212 23 network network NN cord-269711-tw5armh8 212 24 , , , cord-269711-tw5armh8 212 25 it -PRON- PRP cord-269711-tw5armh8 212 26 yields yield VBZ cord-269711-tw5armh8 212 27 a a DT cord-269711-tw5armh8 212 28 longer long JJR cord-269711-tw5armh8 212 29 one one CD cord-269711-tw5armh8 212 30 with with IN cord-269711-tw5armh8 212 31 a a DT cord-269711-tw5armh8 212 32 more more RBR cord-269711-tw5armh8 212 33 drastic drastic JJ cord-269711-tw5armh8 212 34 increase increase NN cord-269711-tw5armh8 212 35 in in IN cord-269711-tw5armh8 212 36 final final JJ cord-269711-tw5armh8 212 37 size size NN cord-269711-tw5armh8 212 38 . . . cord-269711-tw5armh8 213 1 These these DT cord-269711-tw5armh8 213 2 differences difference NNS cord-269711-tw5armh8 213 3 are be VBP cord-269711-tw5armh8 213 4 caused cause VBN cord-269711-tw5armh8 213 5 by by IN cord-269711-tw5armh8 213 6 the the DT cord-269711-tw5armh8 213 7 spatial spatial JJ cord-269711-tw5armh8 213 8 structures structure NNS cord-269711-tw5armh8 213 9 in in IN cord-269711-tw5armh8 213 10 the the DT cord-269711-tw5armh8 213 11 meta meta JJ cord-269711-tw5armh8 213 12 - - HYPH cord-269711-tw5armh8 213 13 random random JJ cord-269711-tw5armh8 213 14 network network NN cord-269711-tw5armh8 213 15 . . . cord-269711-tw5armh8 214 1 Considering consider VBG cord-269711-tw5armh8 214 2 that that IN cord-269711-tw5armh8 214 3 a a DT cord-269711-tw5armh8 214 4 metarandom metarandom NNP cord-269711-tw5armh8 214 5 network network NN cord-269711-tw5armh8 214 6 is be VBZ cord-269711-tw5armh8 214 7 a a DT cord-269711-tw5armh8 214 8 random random JJ cord-269711-tw5armh8 214 9 network network NN cord-269711-tw5armh8 214 10 of of IN cord-269711-tw5armh8 214 11 random random JJ cord-269711-tw5armh8 214 12 networks network NNS cord-269711-tw5armh8 214 13 , , , cord-269711-tw5armh8 214 14 it -PRON- PRP cord-269711-tw5armh8 214 15 is be VBZ cord-269711-tw5armh8 214 16 likely likely JJ cord-269711-tw5armh8 214 17 that that IN cord-269711-tw5armh8 214 18 the the DT cord-269711-tw5armh8 214 19 meta meta JJ cord-269711-tw5armh8 214 20 - - HYPH cord-269711-tw5armh8 214 21 random random JJ cord-269711-tw5armh8 214 22 network network NN cord-269711-tw5armh8 214 23 represents represent VBZ cord-269711-tw5armh8 214 24 a a DT cord-269711-tw5armh8 214 25 general general JJ cord-269711-tw5armh8 214 26 population population NN cord-269711-tw5armh8 214 27 better well RBR cord-269711-tw5armh8 214 28 than than IN cord-269711-tw5armh8 214 29 a a DT cord-269711-tw5armh8 214 30 random random JJ cord-269711-tw5armh8 214 31 network network NN cord-269711-tw5armh8 214 32 . . . cord-269711-tw5armh8 215 1 For for IN cord-269711-tw5armh8 215 2 a a DT cord-269711-tw5armh8 215 3 fixed fixed JJ cord-269711-tw5armh8 215 4 exponential exponential JJ cord-269711-tw5armh8 215 5 growth growth NN cord-269711-tw5armh8 215 6 rate rate NN cord-269711-tw5armh8 215 7 , , , cord-269711-tw5armh8 215 8 the the DT cord-269711-tw5armh8 215 9 transmission transmission NN cord-269711-tw5armh8 215 10 rate rate NN cord-269711-tw5armh8 215 11 needed need VBN cord-269711-tw5armh8 215 12 on on IN cord-269711-tw5armh8 215 13 the the DT cord-269711-tw5armh8 215 14 scale scale NN cord-269711-tw5armh8 215 15 - - HYPH cord-269711-tw5armh8 215 16 free free JJ cord-269711-tw5armh8 215 17 network network NN cord-269711-tw5armh8 215 18 to to TO cord-269711-tw5armh8 215 19 yield yield VB cord-269711-tw5armh8 215 20 the the DT cord-269711-tw5armh8 215 21 given give VBN cord-269711-tw5armh8 215 22 initial initial JJ cord-269711-tw5armh8 215 23 growth growth NN cord-269711-tw5armh8 215 24 rate rate NN cord-269711-tw5armh8 215 25 is be VBZ cord-269711-tw5armh8 215 26 the the DT cord-269711-tw5armh8 215 27 smallest small JJS cord-269711-tw5armh8 215 28 , , , cord-269711-tw5armh8 215 29 being be VBG cord-269711-tw5armh8 215 30 about about IN cord-269711-tw5armh8 215 31 half half PDT cord-269711-tw5armh8 215 32 that that DT cord-269711-tw5armh8 215 33 of of IN cord-269711-tw5armh8 215 34 the the DT cord-269711-tw5armh8 215 35 random random JJ cord-269711-tw5armh8 215 36 and and CC cord-269711-tw5armh8 215 37 the the DT cord-269711-tw5armh8 215 38 meta meta JJ cord-269711-tw5armh8 215 39 - - HYPH cord-269711-tw5armh8 215 40 random random JJ cord-269711-tw5armh8 215 41 networks network NNS cord-269711-tw5armh8 215 42 . . . cord-269711-tw5armh8 216 1 Hence hence RB cord-269711-tw5armh8 216 2 , , , cord-269711-tw5armh8 216 3 the the DT cord-269711-tw5armh8 216 4 per per IN cord-269711-tw5armh8 216 5 - - HYPH cord-269711-tw5armh8 216 6 link link NN cord-269711-tw5armh8 216 7 transmission transmission NN cord-269711-tw5armh8 216 8 probability probability NN cord-269711-tw5armh8 216 9 is be VBZ cord-269711-tw5armh8 216 10 the the DT cord-269711-tw5armh8 216 11 lowest low JJS cord-269711-tw5armh8 216 12 on on IN cord-269711-tw5armh8 216 13 the the DT cord-269711-tw5armh8 216 14 scale scale NN cord-269711-tw5armh8 216 15 - - HYPH cord-269711-tw5armh8 216 16 free free JJ cord-269711-tw5armh8 216 17 network network NN cord-269711-tw5armh8 216 18 , , , cord-269711-tw5armh8 216 19 which which WDT cord-269711-tw5armh8 216 20 in in IN cord-269711-tw5armh8 216 21 turn turn NN cord-269711-tw5armh8 216 22 yields yield VBZ cord-269711-tw5armh8 216 23 a a DT cord-269711-tw5armh8 216 24 small small JJ cord-269711-tw5armh8 216 25 epidemic epidemic NN cord-269711-tw5armh8 216 26 final final JJ cord-269711-tw5armh8 216 27 size size NN cord-269711-tw5armh8 216 28 . . . cord-269711-tw5armh8 217 1 For for IN cord-269711-tw5armh8 217 2 different different JJ cord-269711-tw5armh8 217 3 network network NN cord-269711-tw5armh8 217 4 topologies topology NNS cord-269711-tw5armh8 217 5 , , , cord-269711-tw5armh8 217 6 we -PRON- PRP cord-269711-tw5armh8 217 7 quantified quantify VBD cord-269711-tw5armh8 217 8 the the DT cord-269711-tw5armh8 217 9 effect effect NN cord-269711-tw5armh8 217 10 of of IN cord-269711-tw5armh8 217 11 delay delay NN cord-269711-tw5armh8 217 12 in in IN cord-269711-tw5armh8 217 13 the the DT cord-269711-tw5armh8 217 14 start start NN cord-269711-tw5armh8 217 15 of of IN cord-269711-tw5armh8 217 16 vaccination vaccination NN cord-269711-tw5armh8 217 17 . . . cord-269711-tw5armh8 218 1 We -PRON- PRP cord-269711-tw5armh8 218 2 found find VBD cord-269711-tw5armh8 218 3 that that IN cord-269711-tw5armh8 218 4 the the DT cord-269711-tw5armh8 218 5 effectiveness effectiveness NN cord-269711-tw5armh8 218 6 of of IN cord-269711-tw5armh8 218 7 vaccination vaccination NN cord-269711-tw5armh8 218 8 strategies strategy NNS cord-269711-tw5armh8 218 9 decreases decrease VBZ cord-269711-tw5armh8 218 10 with with IN cord-269711-tw5armh8 218 11 delay delay NN cord-269711-tw5armh8 218 12 with with IN cord-269711-tw5armh8 218 13 a a DT cord-269711-tw5armh8 218 14 rate rate NN cord-269711-tw5armh8 218 15 strongly strongly RB cord-269711-tw5armh8 218 16 dependent dependent JJ cord-269711-tw5armh8 218 17 on on IN cord-269711-tw5armh8 218 18 network network NN cord-269711-tw5armh8 218 19 topology topology NN cord-269711-tw5armh8 218 20 . . . cord-269711-tw5armh8 219 1 This this DT cord-269711-tw5armh8 219 2 emphasizes emphasize VBZ cord-269711-tw5armh8 219 3 the the DT cord-269711-tw5armh8 219 4 importance importance NN cord-269711-tw5armh8 219 5 of of IN cord-269711-tw5armh8 219 6 the the DT cord-269711-tw5armh8 219 7 knowledge knowledge NN cord-269711-tw5armh8 219 8 of of IN cord-269711-tw5armh8 219 9 the the DT cord-269711-tw5armh8 219 10 topology topology NN cord-269711-tw5armh8 219 11 , , , cord-269711-tw5armh8 219 12 in in IN cord-269711-tw5armh8 219 13 order order NN cord-269711-tw5armh8 219 14 to to TO cord-269711-tw5armh8 219 15 formulate formulate VB cord-269711-tw5armh8 219 16 a a DT cord-269711-tw5armh8 219 17 practical practical JJ cord-269711-tw5armh8 219 18 vaccination vaccination NN cord-269711-tw5armh8 219 19 schedule schedule NN cord-269711-tw5armh8 219 20 . . . cord-269711-tw5armh8 220 1 With with IN cord-269711-tw5armh8 220 2 respect respect NN cord-269711-tw5armh8 220 3 to to IN cord-269711-tw5armh8 220 4 policy policy NN cord-269711-tw5armh8 220 5 , , , cord-269711-tw5armh8 220 6 the the DT cord-269711-tw5armh8 220 7 results result NNS cord-269711-tw5armh8 220 8 presented present VBN cord-269711-tw5armh8 220 9 seem seem VBP cord-269711-tw5armh8 220 10 to to TO cord-269711-tw5armh8 220 11 warrant warrant VB cord-269711-tw5armh8 220 12 a a DT cord-269711-tw5armh8 220 13 significant significant JJ cord-269711-tw5armh8 220 14 effort effort NN cord-269711-tw5armh8 220 15 to to TO cord-269711-tw5armh8 220 16 obtain obtain VB cord-269711-tw5armh8 220 17 a a DT cord-269711-tw5armh8 220 18 better well JJR cord-269711-tw5armh8 220 19 understanding understanding NN cord-269711-tw5armh8 220 20 of of IN cord-269711-tw5armh8 220 21 how how WRB cord-269711-tw5armh8 220 22 the the DT cord-269711-tw5armh8 220 23 members member NNS cord-269711-tw5armh8 220 24 of of IN cord-269711-tw5armh8 220 25 a a DT cord-269711-tw5armh8 220 26 population population NN cord-269711-tw5armh8 220 27 are be VBP cord-269711-tw5armh8 220 28 actually actually RB cord-269711-tw5armh8 220 29 linked link VBN cord-269711-tw5armh8 220 30 together together RB cord-269711-tw5armh8 220 31 in in IN cord-269711-tw5armh8 220 32 a a DT cord-269711-tw5armh8 220 33 social social JJ cord-269711-tw5armh8 220 34 network network NN cord-269711-tw5armh8 220 35 . . . cord-269711-tw5armh8 221 1 Consequently consequently RB cord-269711-tw5armh8 221 2 , , , cord-269711-tw5armh8 221 3 policy policy NN cord-269711-tw5armh8 221 4 advice advice NN cord-269711-tw5armh8 221 5 based base VBN cord-269711-tw5armh8 221 6 on on IN cord-269711-tw5armh8 221 7 the the DT cord-269711-tw5armh8 221 8 rough rough JJ cord-269711-tw5armh8 221 9 estimates estimate NNS cord-269711-tw5armh8 221 10 of of IN cord-269711-tw5armh8 221 11 the the DT cord-269711-tw5armh8 221 12 network network NN cord-269711-tw5armh8 221 13 structure structure NN cord-269711-tw5armh8 221 14 should should MD cord-269711-tw5armh8 221 15 be be VB cord-269711-tw5armh8 221 16 viewed view VBN cord-269711-tw5armh8 221 17 with with IN cord-269711-tw5armh8 221 18 caution caution NN cord-269711-tw5armh8 221 19 . . . cord-269711-tw5armh8 222 1 This this DT cord-269711-tw5armh8 222 2 work work NN cord-269711-tw5armh8 222 3 is be VBZ cord-269711-tw5armh8 222 4 partially partially RB cord-269711-tw5armh8 222 5 supported support VBN cord-269711-tw5armh8 222 6 by by IN cord-269711-tw5armh8 222 7 NSERC NSERC NNP cord-269711-tw5armh8 222 8 Discovery Discovery NNP cord-269711-tw5armh8 222 9 Grants Grants NNPS cord-269711-tw5armh8 222 10 ( ( -LRB- cord-269711-tw5armh8 222 11 JM JM NNP cord-269711-tw5armh8 222 12 , , , cord-269711-tw5armh8 222 13 PvdD PvdD NNP cord-269711-tw5armh8 222 14 ) ) -RRB- cord-269711-tw5armh8 222 15 and and CC cord-269711-tw5armh8 222 16 Mprime Mprime NNP cord-269711-tw5armh8 222 17 ( ( -LRB- cord-269711-tw5armh8 222 18 PvdD PvdD NNP cord-269711-tw5armh8 222 19 ) ) -RRB- cord-269711-tw5armh8 222 20 . . . cord-269711-tw5armh8 223 1 We -PRON- PRP cord-269711-tw5armh8 223 2 thank thank VBP cord-269711-tw5armh8 223 3 the the DT cord-269711-tw5armh8 223 4 anonymous anonymous JJ cord-269711-tw5armh8 223 5 reviewers reviewer NNS cord-269711-tw5armh8 223 6 for for IN cord-269711-tw5armh8 223 7 their -PRON- PRP$ cord-269711-tw5armh8 223 8 constructive constructive JJ cord-269711-tw5armh8 223 9 comments comment NNS cord-269711-tw5armh8 223 10 . . . cord-269711-tw5armh8 224 1 The the DT cord-269711-tw5armh8 224 2 nodes node NNS cord-269711-tw5armh8 224 3 in in IN cord-269711-tw5armh8 224 4 the the DT cord-269711-tw5armh8 224 5 network network NN cord-269711-tw5armh8 224 6 are be VBP cord-269711-tw5armh8 224 7 labeled label VBN cord-269711-tw5armh8 224 8 by by IN cord-269711-tw5armh8 224 9 their -PRON- PRP$ cord-269711-tw5armh8 224 10 infectious infectious JJ cord-269711-tw5armh8 224 11 status status NN cord-269711-tw5armh8 224 12 , , , cord-269711-tw5armh8 224 13 i.e. i.e. FW cord-269711-tw5armh8 224 14 susceptible susceptible JJ cord-269711-tw5armh8 224 15 , , , cord-269711-tw5armh8 224 16 infectious infectious JJ cord-269711-tw5armh8 224 17 , , , cord-269711-tw5armh8 224 18 vaccinated vaccinated JJ cord-269711-tw5armh8 224 19 , , , cord-269711-tw5armh8 224 20 immune immune JJ cord-269711-tw5armh8 224 21 , , , cord-269711-tw5armh8 224 22 refusing refuse VBG cord-269711-tw5armh8 224 23 vaccination vaccination NN cord-269711-tw5armh8 224 24 ( ( -LRB- cord-269711-tw5armh8 224 25 but but CC cord-269711-tw5armh8 224 26 susceptible susceptible JJ cord-269711-tw5armh8 224 27 ) ) -RRB- cord-269711-tw5armh8 224 28 , , , cord-269711-tw5armh8 224 29 and and CC cord-269711-tw5armh8 224 30 vaccinated vaccinate VBN cord-269711-tw5armh8 224 31 but but CC cord-269711-tw5armh8 224 32 susceptible susceptible JJ cord-269711-tw5armh8 224 33 ( ( -LRB- cord-269711-tw5armh8 224 34 the the DT cord-269711-tw5armh8 224 35 vaccine vaccine NN cord-269711-tw5armh8 224 36 is be VBZ cord-269711-tw5armh8 224 37 not not RB cord-269711-tw5armh8 224 38 working work VBG cord-269711-tw5armh8 224 39 ) ) -RRB- cord-269711-tw5armh8 224 40 , , , cord-269711-tw5armh8 224 41 respectively respectively RB cord-269711-tw5armh8 224 42 . . . cord-269711-tw5armh8 225 1 The the DT cord-269711-tw5armh8 225 2 stochastic stochastic JJ cord-269711-tw5armh8 225 3 simulation simulation NN cord-269711-tw5armh8 225 4 is be VBZ cord-269711-tw5armh8 225 5 initialized initialize VBN cord-269711-tw5armh8 225 6 by by IN cord-269711-tw5armh8 225 7 first first JJ cord-269711-tw5armh8 225 8 labeling label VBG cord-269711-tw5armh8 225 9 all all PDT cord-269711-tw5armh8 225 10 the the DT cord-269711-tw5armh8 225 11 nodes node NNS cord-269711-tw5armh8 225 12 as as RB cord-269711-tw5armh8 225 13 susceptible susceptible JJ cord-269711-tw5armh8 225 14 and and CC cord-269711-tw5armh8 225 15 then then RB cord-269711-tw5armh8 225 16 randomly randomly RB cord-269711-tw5armh8 225 17 labeling label VBG cord-269711-tw5armh8 225 18 I -PRON- PRP cord-269711-tw5armh8 225 19 0 0 CD cord-269711-tw5armh8 225 20 nodes node NNS cord-269711-tw5armh8 225 21 as as RB cord-269711-tw5armh8 225 22 infectious infectious JJ cord-269711-tw5armh8 225 23 . . . cord-269711-tw5armh8 226 1 Then then RB cord-269711-tw5armh8 226 2 , , , cord-269711-tw5armh8 226 3 before before IN cord-269711-tw5armh8 226 4 the the DT cord-269711-tw5armh8 226 5 simulation simulation NN cord-269711-tw5armh8 226 6 starts start VBZ cord-269711-tw5armh8 226 7 , , , cord-269711-tw5armh8 226 8 50 50 CD cord-269711-tw5armh8 226 9 % % NN cord-269711-tw5armh8 226 10 of of IN cord-269711-tw5armh8 226 11 susceptible susceptible JJ cord-269711-tw5armh8 226 12 nodes node NNS cord-269711-tw5armh8 226 13 are be VBP cord-269711-tw5armh8 226 14 labeled label VBN cord-269711-tw5armh8 226 15 as as IN cord-269711-tw5armh8 226 16 refusing refuse VBG cord-269711-tw5armh8 226 17 vaccination vaccination NN cord-269711-tw5armh8 226 18 but but CC cord-269711-tw5armh8 226 19 susceptible susceptible JJ cord-269711-tw5armh8 226 20 . . . cord-269711-tw5armh8 227 1 During during IN cord-269711-tw5armh8 227 2 the the DT cord-269711-tw5armh8 227 3 simulation simulation NN cord-269711-tw5armh8 227 4 , , , cord-269711-tw5armh8 227 5 when when WRB cord-269711-tw5armh8 227 6 a a DT cord-269711-tw5armh8 227 7 node node NN cord-269711-tw5armh8 227 8 is be VBZ cord-269711-tw5armh8 227 9 vaccinated vaccinate VBN cord-269711-tw5armh8 227 10 , , , cord-269711-tw5armh8 227 11 the the DT cord-269711-tw5armh8 227 12 vaccine vaccine NN cord-269711-tw5armh8 227 13 has have VBZ cord-269711-tw5armh8 227 14 a a DT cord-269711-tw5armh8 227 15 probability probability NN cord-269711-tw5armh8 227 16 of of IN cord-269711-tw5armh8 227 17 30 30 CD cord-269711-tw5armh8 227 18 % % NN cord-269711-tw5armh8 227 19 to to TO cord-269711-tw5armh8 227 20 be be VB cord-269711-tw5armh8 227 21 ineffective ineffective JJ cord-269711-tw5armh8 227 22 . . . cord-269711-tw5armh8 228 1 If if IN cord-269711-tw5armh8 228 2 it -PRON- PRP cord-269711-tw5armh8 228 3 is be VBZ cord-269711-tw5armh8 228 4 not not RB cord-269711-tw5armh8 228 5 effective effective JJ cord-269711-tw5armh8 228 6 , , , cord-269711-tw5armh8 228 7 the the DT cord-269711-tw5armh8 228 8 node node NN cord-269711-tw5armh8 228 9 remains remain VBZ cord-269711-tw5armh8 228 10 fully fully RB cord-269711-tw5armh8 228 11 susceptible susceptible JJ cord-269711-tw5armh8 228 12 , , , cord-269711-tw5armh8 228 13 but but CC cord-269711-tw5armh8 228 14 will will MD cord-269711-tw5armh8 228 15 not not RB cord-269711-tw5armh8 228 16 be be VB cord-269711-tw5armh8 228 17 vaccinated vaccinate VBN cord-269711-tw5armh8 228 18 again again RB cord-269711-tw5armh8 228 19 . . . cord-269711-tw5armh8 229 1 If if IN cord-269711-tw5armh8 229 2 it -PRON- PRP cord-269711-tw5armh8 229 3 is be VBZ cord-269711-tw5armh8 229 4 effective effective JJ cord-269711-tw5armh8 229 5 , , , cord-269711-tw5armh8 229 6 then then RB cord-269711-tw5armh8 229 7 the the DT cord-269711-tw5armh8 229 8 immunity immunity NN cord-269711-tw5armh8 229 9 is be VBZ cord-269711-tw5armh8 229 10 built build VBN cord-269711-tw5armh8 229 11 up up RP cord-269711-tw5armh8 229 12 linearly linearly RB cord-269711-tw5armh8 229 13 over over IN cord-269711-tw5armh8 229 14 a a DT cord-269711-tw5armh8 229 15 certain certain JJ cord-269711-tw5armh8 229 16 period period NN cord-269711-tw5armh8 229 17 of of IN cord-269711-tw5armh8 229 18 time time NN cord-269711-tw5armh8 229 19 , , , cord-269711-tw5armh8 229 20 taken take VBN cord-269711-tw5armh8 229 21 as as IN cord-269711-tw5armh8 229 22 2 2 CD cord-269711-tw5armh8 229 23 weeks week NNS cord-269711-tw5armh8 229 24 . . . cord-269711-tw5armh8 230 1 We -PRON- PRP cord-269711-tw5armh8 230 2 assume assume VBP cord-269711-tw5armh8 230 3 that that IN cord-269711-tw5armh8 230 4 infected infected JJ cord-269711-tw5armh8 230 5 persons person NNS cord-269711-tw5armh8 230 6 generally generally RB cord-269711-tw5armh8 230 7 recover recover VBP cord-269711-tw5armh8 230 8 in in IN cord-269711-tw5armh8 230 9 about about RB cord-269711-tw5armh8 230 10 5 5 CD cord-269711-tw5armh8 230 11 days day NNS cord-269711-tw5armh8 230 12 , , , cord-269711-tw5armh8 230 13 giving give VBG cord-269711-tw5armh8 230 14 a a DT cord-269711-tw5armh8 230 15 recovery recovery NN cord-269711-tw5armh8 230 16 rate rate NN cord-269711-tw5armh8 230 17 g g NN cord-269711-tw5armh8 230 18 ¼ ¼ NNP cord-269711-tw5armh8 230 19 0:2 0:2 CD cord-269711-tw5armh8 230 20 . . . cord-269711-tw5armh8 231 1 The the DT cord-269711-tw5armh8 231 2 initial initial JJ cord-269711-tw5armh8 231 3 number number NN cord-269711-tw5armh8 231 4 of of IN cord-269711-tw5armh8 231 5 infectious infectious JJ cord-269711-tw5armh8 231 6 individuals individual NNS cord-269711-tw5armh8 231 7 I -PRON- PRP cord-269711-tw5armh8 231 8 0 0 NFP cord-269711-tw5armh8 231 9 is be VBZ cord-269711-tw5armh8 231 10 set set VBN cord-269711-tw5armh8 231 11 to to IN cord-269711-tw5armh8 231 12 100 100 CD cord-269711-tw5armh8 231 13 unless unless IN cord-269711-tw5armh8 231 14 otherwise otherwise RB cord-269711-tw5armh8 231 15 stated state VBN cord-269711-tw5armh8 231 16 , , , cord-269711-tw5armh8 231 17 to to TO cord-269711-tw5armh8 231 18 reduce reduce VB cord-269711-tw5armh8 231 19 the the DT cord-269711-tw5armh8 231 20 number number NN cord-269711-tw5armh8 231 21 of of IN cord-269711-tw5armh8 231 22 runs run NNS cord-269711-tw5armh8 231 23 where where WRB cord-269711-tw5armh8 231 24 the the DT cord-269711-tw5armh8 231 25 disease disease NN cord-269711-tw5armh8 231 26 dies die VBZ cord-269711-tw5armh8 231 27 out out RP cord-269711-tw5armh8 231 28 due due IN cord-269711-tw5armh8 231 29 to to IN cord-269711-tw5armh8 231 30 statistical statistical JJ cord-269711-tw5armh8 231 31 fluctuations fluctuation NNS cord-269711-tw5armh8 231 32 . . . cord-269711-tw5armh8 232 1 All all DT cord-269711-tw5armh8 232 2 simulation simulation NN cord-269711-tw5armh8 232 3 results result NNS cord-269711-tw5armh8 232 4 presented present VBN cord-269711-tw5armh8 232 5 in in IN cord-269711-tw5armh8 232 6 Sections section NNS cord-269711-tw5armh8 232 7 4 4 CD cord-269711-tw5armh8 232 8 and and CC cord-269711-tw5armh8 232 9 5 5 CD cord-269711-tw5armh8 232 10 are be VBP cord-269711-tw5armh8 232 11 averages average NNS cord-269711-tw5armh8 232 12 of of IN cord-269711-tw5armh8 232 13 100 100 CD cord-269711-tw5armh8 232 14 runs run NNS cord-269711-tw5armh8 232 15 , , , cord-269711-tw5armh8 232 16 each each DT cord-269711-tw5armh8 232 17 with with IN cord-269711-tw5armh8 232 18 a a DT cord-269711-tw5armh8 232 19 new new JJ cord-269711-tw5armh8 232 20 randomly randomly RB cord-269711-tw5armh8 232 21 generated generate VBN cord-269711-tw5armh8 232 22 network network NN cord-269711-tw5armh8 232 23 of of IN cord-269711-tw5armh8 232 24 the the DT cord-269711-tw5armh8 232 25 chosen choose VBN cord-269711-tw5armh8 232 26 topology topology NN cord-269711-tw5armh8 232 27 . . . cord-269711-tw5armh8 233 1 The the DT cord-269711-tw5armh8 233 2 parameters parameter NNS cord-269711-tw5armh8 233 3 in in IN cord-269711-tw5armh8 233 4 the the DT cord-269711-tw5armh8 233 5 simulations simulation NNS cord-269711-tw5armh8 233 6 are be VBP cord-269711-tw5armh8 233 7 shown show VBN cord-269711-tw5armh8 233 8 in in IN cord-269711-tw5armh8 233 9 Table Table NNP cord-269711-tw5armh8 233 10 4 4 CD cord-269711-tw5armh8 233 11 . . . cord-269711-tw5armh8 234 1 The the DT cord-269711-tw5armh8 234 2 population population NN cord-269711-tw5armh8 234 3 size size NN cord-269711-tw5armh8 234 4 N N NNP cord-269711-tw5armh8 234 5 was be VBD cord-269711-tw5armh8 234 6 chosen choose VBN cord-269711-tw5armh8 234 7 to to TO cord-269711-tw5armh8 234 8 be be VB cord-269711-tw5armh8 234 9 sufficiently sufficiently RB cord-269711-tw5armh8 234 10 large large JJ cord-269711-tw5armh8 234 11 to to TO cord-269711-tw5armh8 234 12 be be VB cord-269711-tw5armh8 234 13 representative representative JJ cord-269711-tw5armh8 234 14 of of IN cord-269711-tw5armh8 234 15 a a DT cord-269711-tw5armh8 234 16 medium medium JJ cord-269711-tw5armh8 234 17 size size NN cord-269711-tw5armh8 234 18 town town NN cord-269711-tw5armh8 234 19 and and CC cord-269711-tw5armh8 234 20 set set VBN cord-269711-tw5armh8 234 21 to to IN cord-269711-tw5armh8 234 22 N n CD cord-269711-tw5armh8 234 23 ¼ ¼ CD cord-269711-tw5armh8 234 24 200,000 200,000 CD cord-269711-tw5armh8 234 25 , , , cord-269711-tw5armh8 234 26 while while IN cord-269711-tw5armh8 234 27 the the DT cord-269711-tw5armh8 234 28 degree degree NN cord-269711-tw5armh8 234 29 average average NN cord-269711-tw5armh8 234 30 is be VBZ cord-269711-tw5armh8 234 31 taken take VBN cord-269711-tw5armh8 234 32 as as IN cord-269711-tw5armh8 234 33 /kS /kS . cord-269711-tw5armh8 235 1 ¼ ¼ NNP cord-269711-tw5armh8 235 2 5 5 CD cord-269711-tw5armh8 235 3 with with IN cord-269711-tw5armh8 235 4 a a DT cord-269711-tw5armh8 235 5 maximum maximum JJ cord-269711-tw5armh8 235 6 degree degree NN cord-269711-tw5armh8 235 7 M¼ m¼ NN cord-269711-tw5armh8 235 8 100 100 CD cord-269711-tw5armh8 236 1 ( ( -LRB- cord-269711-tw5armh8 236 2 having have VBG cord-269711-tw5armh8 236 3 a a DT cord-269711-tw5armh8 236 4 maximum maximum JJ cord-269711-tw5armh8 236 5 degree degree NN cord-269711-tw5armh8 236 6 only only RB cord-269711-tw5armh8 236 7 affects affect VBZ cord-269711-tw5armh8 236 8 the the DT cord-269711-tw5armh8 236 9 scalefree scalefree NNP cord-269711-tw5armh8 236 10 network network NN cord-269711-tw5armh8 236 11 since since IN cord-269711-tw5armh8 236 12 the the DT cord-269711-tw5armh8 236 13 probability probability NN cord-269711-tw5armh8 236 14 of of IN cord-269711-tw5armh8 236 15 a a DT cord-269711-tw5armh8 236 16 node node NN cord-269711-tw5armh8 236 17 having have VBG cord-269711-tw5armh8 236 18 degree degree NN cord-269711-tw5armh8 236 19 M M NNP cord-269711-tw5armh8 236 20 is be VBZ cord-269711-tw5armh8 236 21 practically practically RB cord-269711-tw5armh8 236 22 zero zero CD cord-269711-tw5armh8 236 23 for for IN cord-269711-tw5armh8 236 24 the the DT cord-269711-tw5armh8 236 25 other other JJ cord-269711-tw5armh8 236 26 network network NN cord-269711-tw5armh8 236 27 types type NNS cord-269711-tw5armh8 236 28 ) ) -RRB- cord-269711-tw5armh8 236 29 . . . cord-269711-tw5armh8 237 1 When when WRB cord-269711-tw5armh8 237 2 considering consider VBG cord-269711-tw5armh8 237 3 a a DT cord-269711-tw5armh8 237 4 large large JJ cord-269711-tw5armh8 237 5 group group NN cord-269711-tw5armh8 237 6 of of IN cord-269711-tw5armh8 237 7 people people NNS cord-269711-tw5armh8 237 8 , , , cord-269711-tw5armh8 237 9 a a DT cord-269711-tw5armh8 237 10 good good JJ cord-269711-tw5armh8 237 11 first first JJ cord-269711-tw5armh8 237 12 approximation approximation NN cord-269711-tw5armh8 237 13 is be VBZ cord-269711-tw5armh8 237 14 that that IN cord-269711-tw5armh8 237 15 the the DT cord-269711-tw5armh8 237 16 links link NNS cord-269711-tw5armh8 237 17 between between IN cord-269711-tw5armh8 237 18 these these DT cord-269711-tw5armh8 237 19 people people NNS cord-269711-tw5armh8 237 20 are be VBP cord-269711-tw5armh8 237 21 random random JJ cord-269711-tw5armh8 237 22 . . . cord-269711-tw5armh8 238 1 Although although IN cord-269711-tw5armh8 238 2 it -PRON- PRP cord-269711-tw5armh8 238 3 is be VBZ cord-269711-tw5armh8 238 4 clear clear JJ cord-269711-tw5armh8 238 5 that that IN cord-269711-tw5armh8 238 6 this this DT cord-269711-tw5armh8 238 7 can can MD cord-269711-tw5armh8 238 8 not not RB cord-269711-tw5armh8 238 9 accurately accurately RB cord-269711-tw5armh8 238 10 represent represent VB cord-269711-tw5armh8 238 11 the the DT cord-269711-tw5armh8 238 12 population population NN cord-269711-tw5armh8 238 13 since since IN cord-269711-tw5armh8 238 14 it -PRON- PRP cord-269711-tw5armh8 238 15 lacks lack VBZ cord-269711-tw5armh8 238 16 , , , cord-269711-tw5armh8 238 17 for for IN cord-269711-tw5armh8 238 18 example example NN cord-269711-tw5armh8 238 19 , , , cord-269711-tw5armh8 238 20 clustering clustering NN cord-269711-tw5armh8 238 21 and and CC cord-269711-tw5armh8 238 22 spatial spatial JJ cord-269711-tw5armh8 238 23 aggregation aggregation NN cord-269711-tw5armh8 238 24 ( ( -LRB- cord-269711-tw5armh8 238 25 found find VBN cord-269711-tw5armh8 238 26 in in IN cord-269711-tw5armh8 238 27 such such JJ cord-269711-tw5armh8 238 28 common common JJ cord-269711-tw5armh8 238 29 contexts context NNS cord-269711-tw5armh8 238 30 as as IN cord-269711-tw5armh8 238 31 schools school NNS cord-269711-tw5armh8 238 32 and and CC cord-269711-tw5armh8 238 33 work work NN cord-269711-tw5armh8 238 34 places place NNS cord-269711-tw5armh8 238 35 ) ) -RRB- cord-269711-tw5armh8 238 36 , , , cord-269711-tw5armh8 238 37 it -PRON- PRP cord-269711-tw5armh8 238 38 may may MD cord-269711-tw5armh8 238 39 be be VB cord-269711-tw5armh8 238 40 possible possible JJ cord-269711-tw5armh8 238 41 that that IN cord-269711-tw5armh8 238 42 if if IN cord-269711-tw5armh8 238 43 the the DT cord-269711-tw5armh8 238 44 population population NN cord-269711-tw5armh8 238 45 is be VBZ cord-269711-tw5armh8 238 46 big big JJ cord-269711-tw5armh8 238 47 enough enough RB cord-269711-tw5armh8 238 48 , , , cord-269711-tw5armh8 238 49 most most JJS cord-269711-tw5armh8 238 50 if if IN cord-269711-tw5armh8 238 51 not not RB cord-269711-tw5armh8 238 52 all all DT cord-269711-tw5armh8 238 53 nonrandom nonrandom JJ cord-269711-tw5armh8 238 54 effects effect NNS cord-269711-tw5armh8 238 55 average average JJ cord-269711-tw5armh8 238 56 out out RB cord-269711-tw5armh8 238 57 . . . cord-269711-tw5armh8 239 1 Furthermore furthermore RB cord-269711-tw5armh8 239 2 , , , cord-269711-tw5armh8 239 3 random random JJ cord-269711-tw5armh8 239 4 networks network NNS cord-269711-tw5armh8 239 5 lend lend VBP cord-269711-tw5armh8 239 6 themselves -PRON- PRP cord-269711-tw5armh8 239 7 relatively relatively RB cord-269711-tw5armh8 239 8 well well RB cord-269711-tw5armh8 239 9 to to IN cord-269711-tw5armh8 239 10 analysis analysis NN cord-269711-tw5armh8 239 11 so so IN cord-269711-tw5armh8 239 12 that that IN cord-269711-tw5armh8 239 13 a a DT cord-269711-tw5armh8 239 14 number number NN cord-269711-tw5armh8 239 15 of of IN cord-269711-tw5armh8 239 16 interesting interesting JJ cord-269711-tw5armh8 239 17 ( ( -LRB- cord-269711-tw5armh8 239 18 and and CC cord-269711-tw5armh8 239 19 testable testable JJ cord-269711-tw5armh8 239 20 ) ) -RRB- cord-269711-tw5armh8 239 21 properties property NNS cord-269711-tw5armh8 239 22 can can MD cord-269711-tw5armh8 239 23 be be VB cord-269711-tw5armh8 239 24 derived derive VBN cord-269711-tw5armh8 239 25 . . . cord-269711-tw5armh8 240 1 As as IN cord-269711-tw5armh8 240 2 is be VBZ cord-269711-tw5armh8 240 3 usually usually RB cord-269711-tw5armh8 240 4 the the DT cord-269711-tw5armh8 240 5 case case NN cord-269711-tw5armh8 240 6 , , , cord-269711-tw5armh8 240 7 the the DT cord-269711-tw5armh8 240 8 random random JJ cord-269711-tw5armh8 240 9 network network NN cord-269711-tw5armh8 240 10 employed employ VBN cord-269711-tw5armh8 240 11 here here RB cord-269711-tw5armh8 240 12 originates originate VBZ cord-269711-tw5armh8 240 13 from from IN cord-269711-tw5armh8 240 14 the the DT cord-269711-tw5armh8 240 15 concepts concept NNS cord-269711-tw5armh8 240 16 first first RB cord-269711-tw5armh8 240 17 presented present VBN cord-269711-tw5armh8 240 18 rigorously rigorously RB cord-269711-tw5armh8 240 19 by by IN cord-269711-tw5armh8 240 20 Erd Erd NNP cord-269711-tw5armh8 240 21 + + CC cord-269711-tw5armh8 240 22 os os NNP cord-269711-tw5armh8 240 23 and and CC cord-269711-tw5armh8 240 24 Ré Ré NNP cord-269711-tw5armh8 240 25 nyi nyi NNP cord-269711-tw5armh8 240 26 ( ( -LRB- cord-269711-tw5armh8 240 27 1959 1959 CD cord-269711-tw5armh8 240 28 ) ) -RRB- cord-269711-tw5armh8 240 29 . . . cord-269711-tw5armh8 241 1 Our -PRON- PRP$ cord-269711-tw5armh8 241 2 random random JJ cord-269711-tw5armh8 241 3 networks network NNS cord-269711-tw5armh8 241 4 are be VBP cord-269711-tw5armh8 241 5 generated generate VBN cord-269711-tw5armh8 241 6 as as IN cord-269711-tw5armh8 241 7 follows follow VBZ cord-269711-tw5armh8 241 8 : : : cord-269711-tw5armh8 241 9 ( ( -LRB- cord-269711-tw5armh8 241 10 1 1 LS cord-269711-tw5armh8 241 11 ) ) -RRB- cord-269711-tw5armh8 241 12 We -PRON- PRP cord-269711-tw5armh8 241 13 begin begin VBP cord-269711-tw5armh8 241 14 by by IN cord-269711-tw5armh8 241 15 creating create VBG cord-269711-tw5armh8 241 16 N n CD cord-269711-tw5armh8 241 17 unlinked unlinked JJ cord-269711-tw5armh8 241 18 nodes node NNS cord-269711-tw5armh8 241 19 . . . cord-269711-tw5armh8 242 1 ( ( -LRB- cord-269711-tw5armh8 242 2 2 2 LS cord-269711-tw5armh8 242 3 ) ) -RRB- cord-269711-tw5armh8 243 1 In in IN cord-269711-tw5armh8 243 2 order order NN cord-269711-tw5armh8 243 3 to to TO cord-269711-tw5armh8 243 4 avoid avoid VB cord-269711-tw5armh8 243 5 orphaned orphaned JJ cord-269711-tw5armh8 243 6 nodes node NNS cord-269711-tw5armh8 243 7 , , , cord-269711-tw5armh8 243 8 without without IN cord-269711-tw5armh8 243 9 loss loss NN cord-269711-tw5armh8 243 10 of of IN cord-269711-tw5armh8 243 11 generality generality NN cord-269711-tw5armh8 243 12 , , , cord-269711-tw5armh8 243 13 first first RB cord-269711-tw5armh8 243 14 every every DT cord-269711-tw5armh8 243 15 node node NN cord-269711-tw5armh8 243 16 is be VBZ cord-269711-tw5armh8 243 17 linked link VBN cord-269711-tw5armh8 243 18 to to IN cord-269711-tw5armh8 243 19 another another DT cord-269711-tw5armh8 243 20 uniformly uniformly RB cord-269711-tw5armh8 243 21 randomly randomly RB cord-269711-tw5armh8 243 22 chosen choose VBN cord-269711-tw5armh8 243 23 node node NN cord-269711-tw5armh8 243 24 that that WDT cord-269711-tw5armh8 243 25 is be VBZ cord-269711-tw5armh8 243 26 not not RB cord-269711-tw5armh8 243 27 a a DT cord-269711-tw5armh8 243 28 neighbor neighbor NN cord-269711-tw5armh8 243 29 . . . cord-269711-tw5armh8 244 1 ( ( -LRB- cord-269711-tw5armh8 244 2 3 3 LS cord-269711-tw5armh8 244 3 ) ) -RRB- cord-269711-tw5armh8 245 1 Two two CD cord-269711-tw5armh8 245 2 nodes node NNS cord-269711-tw5armh8 245 3 that that WDT cord-269711-tw5armh8 245 4 are be VBP cord-269711-tw5armh8 245 5 not not RB cord-269711-tw5armh8 245 6 neighbors neighbor NNS cord-269711-tw5armh8 245 7 and and CC cord-269711-tw5armh8 245 8 not not RB cord-269711-tw5armh8 245 9 already already RB cord-269711-tw5armh8 245 10 linked link VBN cord-269711-tw5armh8 245 11 are be VBP cord-269711-tw5armh8 245 12 uniformly uniformly RB cord-269711-tw5armh8 245 13 randomly randomly RB cord-269711-tw5armh8 245 14 selected select VBN cord-269711-tw5armh8 245 15 . . . cord-269711-tw5armh8 246 1 If if IN cord-269711-tw5armh8 246 2 the the DT cord-269711-tw5armh8 246 3 degree degree NN cord-269711-tw5armh8 246 4 d d NN cord-269711-tw5armh8 246 5 of of IN cord-269711-tw5armh8 246 6 both both CC cord-269711-tw5armh8 246 7 the the DT cord-269711-tw5armh8 246 8 nodes node NNS cord-269711-tw5armh8 246 9 is be VBZ cord-269711-tw5armh8 246 10 less less JJR cord-269711-tw5armh8 246 11 than than IN cord-269711-tw5armh8 246 12 the the DT cord-269711-tw5armh8 246 13 maximum maximum JJ cord-269711-tw5armh8 246 14 degree degree NN cord-269711-tw5armh8 246 15 M M NNP cord-269711-tw5armh8 246 16 , , , cord-269711-tw5armh8 246 17 a a DT cord-269711-tw5armh8 246 18 link link NN cord-269711-tw5armh8 246 19 is be VBZ cord-269711-tw5armh8 246 20 established establish VBN cord-269711-tw5armh8 246 21 . . . cord-269711-tw5armh8 247 1 If if IN cord-269711-tw5armh8 247 2 one one CD cord-269711-tw5armh8 247 3 of of IN cord-269711-tw5armh8 247 4 the the DT cord-269711-tw5armh8 247 5 nodes node NNS cord-269711-tw5armh8 247 6 has have VBZ cord-269711-tw5armh8 247 7 maximum maximum JJ cord-269711-tw5armh8 247 8 degree degree NN cord-269711-tw5armh8 247 9 M M NNP cord-269711-tw5armh8 247 10 , , , cord-269711-tw5armh8 247 11 a a DT cord-269711-tw5armh8 247 12 new new JJ cord-269711-tw5armh8 247 13 pair pair NN cord-269711-tw5armh8 247 14 of of IN cord-269711-tw5armh8 247 15 nodes node NNS cord-269711-tw5armh8 247 16 is be VBZ cord-269711-tw5armh8 247 17 uniformly uniformly RB cord-269711-tw5armh8 247 18 randomly randomly RB cord-269711-tw5armh8 247 19 selected select VBN cord-269711-tw5armh8 247 20 . . . cord-269711-tw5armh8 248 1 ( ( -LRB- cord-269711-tw5armh8 248 2 4 4 LS cord-269711-tw5armh8 248 3 ) ) -RRB- cord-269711-tw5armh8 248 4 Step step NN cord-269711-tw5armh8 248 5 3 3 CD cord-269711-tw5armh8 248 6 is be VBZ cord-269711-tw5armh8 248 7 repeated repeat VBN cord-269711-tw5armh8 248 8 N N NNP cord-269711-tw5armh8 248 9 Â Â NNP cord-269711-tw5armh8 248 10 /kSÀN /kSÀN NNP cord-269711-tw5armh8 248 11 times time NNS cord-269711-tw5armh8 248 12 . . . cord-269711-tw5armh8 249 1 When when WRB cord-269711-tw5armh8 249 2 considering consider VBG cord-269711-tw5armh8 249 3 certain certain JJ cord-269711-tw5armh8 249 4 activities activity NNS cord-269711-tw5armh8 249 5 in in IN cord-269711-tw5armh8 249 6 a a DT cord-269711-tw5armh8 249 7 population population NN cord-269711-tw5armh8 249 8 , , , cord-269711-tw5armh8 249 9 such such JJ cord-269711-tw5armh8 249 10 as as IN cord-269711-tw5armh8 249 11 the the DT cord-269711-tw5armh8 249 12 publishing publishing NN cord-269711-tw5armh8 249 13 of of IN cord-269711-tw5armh8 249 14 scientific scientific JJ cord-269711-tw5armh8 249 15 work work NN cord-269711-tw5armh8 249 16 or or CC cord-269711-tw5armh8 249 17 sexual sexual JJ cord-269711-tw5armh8 249 18 contact contact NN cord-269711-tw5armh8 249 19 , , , cord-269711-tw5armh8 249 20 it -PRON- PRP cord-269711-tw5armh8 249 21 has have VBZ cord-269711-tw5armh8 249 22 been be VBN cord-269711-tw5armh8 249 23 found find VBN cord-269711-tw5armh8 249 24 that that IN cord-269711-tw5armh8 249 25 the the DT cord-269711-tw5armh8 249 26 links link NNS cord-269711-tw5armh8 249 27 are be VBP cord-269711-tw5armh8 249 28 often often RB cord-269711-tw5armh8 249 29 well well RB cord-269711-tw5armh8 249 30 described describe VBN cord-269711-tw5armh8 249 31 by by IN cord-269711-tw5armh8 249 32 a a DT cord-269711-tw5armh8 249 33 scale scale NN cord-269711-tw5armh8 249 34 - - HYPH cord-269711-tw5armh8 249 35 free free JJ cord-269711-tw5armh8 249 36 network network NN cord-269711-tw5armh8 249 37 structure structure NN cord-269711-tw5armh8 249 38 where where WRB cord-269711-tw5armh8 249 39 the the DT cord-269711-tw5armh8 249 40 relationship relationship NN cord-269711-tw5armh8 249 41 between between IN cord-269711-tw5armh8 249 42 the the DT cord-269711-tw5armh8 249 43 degree degree NN cord-269711-tw5armh8 249 44 and and CC cord-269711-tw5armh8 249 45 the the DT cord-269711-tw5armh8 249 46 number number NN cord-269711-tw5armh8 249 47 of of IN cord-269711-tw5armh8 249 48 nodes node NNS cord-269711-tw5armh8 249 49 that that WDT cord-269711-tw5armh8 249 50 have have VBP cord-269711-tw5armh8 249 51 this this DT cord-269711-tw5armh8 249 52 degree degree NN cord-269711-tw5armh8 249 53 follows follow VBZ cord-269711-tw5armh8 249 54 a a DT cord-269711-tw5armh8 249 55 negative negative JJ cord-269711-tw5armh8 249 56 power power NN cord-269711-tw5armh8 249 57 law law NN cord-269711-tw5armh8 249 58 ; ; : cord-269711-tw5armh8 249 59 see see VB cord-269711-tw5armh8 249 60 , , , cord-269711-tw5armh8 249 61 for for IN cord-269711-tw5armh8 249 62 example example NN cord-269711-tw5armh8 249 63 , , , cord-269711-tw5armh8 249 64 the the DT cord-269711-tw5armh8 249 65 review review NN cord-269711-tw5armh8 249 66 paper paper NN cord-269711-tw5armh8 249 67 by by IN cord-269711-tw5armh8 249 68 Albert Albert NNP cord-269711-tw5armh8 249 69 and and CC cord-269711-tw5armh8 249 70 Barabá Barabá NNP cord-269711-tw5armh8 249 71 si si NNP cord-269711-tw5armh8 249 72 ( ( -LRB- cord-269711-tw5armh8 249 73 2002 2002 CD cord-269711-tw5armh8 249 74 ) ) -RRB- cord-269711-tw5armh8 249 75 . . . cord-269711-tw5armh8 250 1 Scale scale NN cord-269711-tw5armh8 250 2 - - HYPH cord-269711-tw5armh8 250 3 free free JJ cord-269711-tw5armh8 250 4 networks network NNS cord-269711-tw5armh8 250 5 can can MD cord-269711-tw5armh8 250 6 easily easily RB cord-269711-tw5armh8 250 7 be be VB cord-269711-tw5armh8 250 8 constructed construct VBN cord-269711-tw5armh8 250 9 with with IN cord-269711-tw5armh8 250 10 the the DT cord-269711-tw5armh8 250 11 help help NN cord-269711-tw5armh8 250 12 of of IN cord-269711-tw5armh8 250 13 a a DT cord-269711-tw5armh8 250 14 preferential preferential JJ cord-269711-tw5armh8 250 15 attachment attachment NN cord-269711-tw5armh8 250 16 . . . cord-269711-tw5armh8 251 1 That that DT cord-269711-tw5armh8 251 2 is be VBZ cord-269711-tw5armh8 251 3 to to TO cord-269711-tw5armh8 251 4 say say VB cord-269711-tw5armh8 251 5 , , , cord-269711-tw5armh8 251 6 the the DT cord-269711-tw5armh8 251 7 network network NN cord-269711-tw5armh8 251 8 is be VBZ cord-269711-tw5armh8 251 9 built build VBN cord-269711-tw5armh8 251 10 up up RP cord-269711-tw5armh8 252 1 step step NN cord-269711-tw5armh8 252 2 by by IN cord-269711-tw5armh8 252 3 step step NN cord-269711-tw5armh8 252 4 and and CC cord-269711-tw5armh8 252 5 new new JJ cord-269711-tw5armh8 252 6 nodes node NNS cord-269711-tw5armh8 252 7 attach attach VBP cord-269711-tw5armh8 252 8 to to IN cord-269711-tw5armh8 252 9 existing exist VBG cord-269711-tw5armh8 252 10 nodes node NNS cord-269711-tw5armh8 252 11 with with IN cord-269711-tw5armh8 252 12 a a DT cord-269711-tw5armh8 252 13 probability probability NN cord-269711-tw5armh8 252 14 that that WDT cord-269711-tw5armh8 252 15 is be VBZ cord-269711-tw5armh8 252 16 proportional proportional JJ cord-269711-tw5armh8 252 17 to to IN cord-269711-tw5armh8 252 18 the the DT cord-269711-tw5armh8 252 19 degree degree NN cord-269711-tw5armh8 252 20 of of IN cord-269711-tw5armh8 252 21 the the DT cord-269711-tw5armh8 252 22 existing exist VBG cord-269711-tw5armh8 252 23 nodes node NNS cord-269711-tw5armh8 252 24 . . . cord-269711-tw5armh8 253 1 Our -PRON- PRP$ cord-269711-tw5armh8 253 2 network network NN cord-269711-tw5armh8 253 3 is be VBZ cord-269711-tw5armh8 253 4 constructed construct VBN cord-269711-tw5armh8 253 5 with with IN cord-269711-tw5armh8 253 6 the the DT cord-269711-tw5armh8 253 7 help help NN cord-269711-tw5armh8 253 8 of of IN cord-269711-tw5armh8 253 9 preferential preferential JJ cord-269711-tw5armh8 253 10 attachment attachment NN cord-269711-tw5armh8 253 11 , , , cord-269711-tw5armh8 253 12 but but CC cord-269711-tw5armh8 253 13 two two CD cord-269711-tw5armh8 253 14 modifications modification NNS cord-269711-tw5armh8 253 15 are be VBP cord-269711-tw5armh8 253 16 made make VBN cord-269711-tw5armh8 253 17 in in IN cord-269711-tw5armh8 253 18 order order NN cord-269711-tw5armh8 253 19 to to TO cord-269711-tw5armh8 253 20 render render VB cord-269711-tw5armh8 253 21 the the DT cord-269711-tw5armh8 253 22 scale scale NN cord-269711-tw5armh8 253 23 - - HYPH cord-269711-tw5armh8 253 24 free free JJ cord-269711-tw5armh8 253 25 network network NN cord-269711-tw5armh8 253 26 more more RBR cord-269711-tw5armh8 253 27 comparable comparable JJ cord-269711-tw5armh8 253 28 with with IN cord-269711-tw5armh8 253 29 the the DT cord-269711-tw5armh8 253 30 other other JJ cord-269711-tw5armh8 253 31 networks network NNS cord-269711-tw5armh8 253 32 investigated investigate VBN cord-269711-tw5armh8 253 33 here here RB cord-269711-tw5armh8 253 34 . . . cord-269711-tw5armh8 254 1 First first RB cord-269711-tw5armh8 254 2 , , , cord-269711-tw5armh8 254 3 the the DT cord-269711-tw5armh8 254 4 maximum maximum JJ cord-269711-tw5armh8 254 5 degree degree NN cord-269711-tw5armh8 254 6 is be VBZ cord-269711-tw5armh8 254 7 limited limit VBN cord-269711-tw5armh8 254 8 to to IN cord-269711-tw5armh8 254 9 M M NNP cord-269711-tw5armh8 254 10 not not RB cord-269711-tw5armh8 254 11 by by IN cord-269711-tw5armh8 254 12 restricting restrict VBG cord-269711-tw5armh8 254 13 the the DT cord-269711-tw5armh8 254 14 degree degree NN cord-269711-tw5armh8 254 15 from from IN cord-269711-tw5armh8 254 16 the the DT cord-269711-tw5armh8 254 17 outset outset NN cord-269711-tw5armh8 254 18 but but CC cord-269711-tw5armh8 254 19 by by IN cord-269711-tw5armh8 254 20 first first RB cord-269711-tw5armh8 254 21 creating create VBG cord-269711-tw5armh8 254 22 a a DT cord-269711-tw5armh8 254 23 scale scale NN cord-269711-tw5armh8 254 24 - - HYPH cord-269711-tw5armh8 254 25 free free JJ cord-269711-tw5armh8 254 26 network network NN cord-269711-tw5armh8 254 27 and and CC cord-269711-tw5armh8 254 28 then then RB cord-269711-tw5armh8 254 29 pruning prune VBG cord-269711-tw5armh8 254 30 all all PDT cord-269711-tw5armh8 254 31 the the DT cord-269711-tw5armh8 254 32 nodes node NNS cord-269711-tw5armh8 254 33 with with IN cord-269711-tw5armh8 254 34 a a DT cord-269711-tw5armh8 254 35 degree degree NN cord-269711-tw5armh8 254 36 larger large JJR cord-269711-tw5armh8 254 37 than than IN cord-269711-tw5armh8 254 38 M. M. NNP cord-269711-tw5armh8 254 39 Second Second NNP cord-269711-tw5armh8 254 40 , , , cord-269711-tw5armh8 254 41 the the DT cord-269711-tw5armh8 254 42 number number NN cord-269711-tw5armh8 254 43 of of IN cord-269711-tw5armh8 254 44 links link NNS cord-269711-tw5armh8 254 45 attached attach VBN cord-269711-tw5armh8 254 46 to to IN cord-269711-tw5armh8 254 47 each each DT cord-269711-tw5armh8 254 48 new new JJ cord-269711-tw5armh8 254 49 node node NN cord-269711-tw5armh8 254 50 is be VBZ cord-269711-tw5armh8 254 51 either either CC cord-269711-tw5armh8 254 52 two two CD cord-269711-tw5armh8 254 53 or or CC cord-269711-tw5armh8 254 54 three three CD cord-269711-tw5armh8 254 55 dependent dependent JJ cord-269711-tw5armh8 254 56 on on IN cord-269711-tw5armh8 254 57 a a DT cord-269711-tw5armh8 254 58 certain certain JJ cord-269711-tw5armh8 254 59 probability probability NN cord-269711-tw5armh8 254 60 that that WDT cord-269711-tw5armh8 254 61 is be VBZ cord-269711-tw5armh8 254 62 set set VBN cord-269711-tw5armh8 254 63 such such JJ cord-269711-tw5armh8 254 64 that that IN cord-269711-tw5armh8 254 65 after after IN cord-269711-tw5armh8 254 66 pruning prune VBG cord-269711-tw5armh8 254 67 the the DT cord-269711-tw5armh8 254 68 average average JJ cord-269711-tw5armh8 254 69 degree degree NN cord-269711-tw5armh8 254 70 is be VBZ cord-269711-tw5armh8 254 71 very very RB cord-269711-tw5armh8 254 72 close close JJ cord-269711-tw5armh8 254 73 to to IN cord-269711-tw5armh8 254 74 that that DT cord-269711-tw5armh8 254 75 of of IN cord-269711-tw5armh8 254 76 the the DT cord-269711-tw5armh8 254 77 random random JJ cord-269711-tw5armh8 254 78 network network NN cord-269711-tw5armh8 254 79 ( ( -LRB- cord-269711-tw5armh8 254 80 i.e. i.e. FW cord-269711-tw5armh8 254 81 /kS /kS : cord-269711-tw5armh8 254 82 ¼ ¼ NNP cord-269711-tw5armh8 254 83 5 5 CD cord-269711-tw5armh8 254 84 ) ) -RRB- cord-269711-tw5armh8 254 85 . . . cord-269711-tw5armh8 255 1 Our -PRON- PRP$ cord-269711-tw5armh8 255 2 scale scale NN cord-269711-tw5armh8 255 3 - - HYPH cord-269711-tw5armh8 255 4 free free JJ cord-269711-tw5armh8 255 5 network network NN cord-269711-tw5armh8 255 6 is be VBZ cord-269711-tw5armh8 255 7 generated generate VBN cord-269711-tw5armh8 255 8 as as IN cord-269711-tw5armh8 255 9 follows follow VBZ cord-269711-tw5armh8 255 10 : : : cord-269711-tw5armh8 255 11 ( ( -LRB- cord-269711-tw5armh8 255 12 1 1 LS cord-269711-tw5armh8 255 13 ) ) -RRB- cord-269711-tw5armh8 255 14 Start start VB cord-269711-tw5armh8 255 15 with with IN cord-269711-tw5armh8 255 16 three three CD cord-269711-tw5armh8 255 17 fully fully RB cord-269711-tw5armh8 255 18 connected connect VBN cord-269711-tw5armh8 255 19 nodes node NNS cord-269711-tw5armh8 255 20 and and CC cord-269711-tw5armh8 255 21 set set VBD cord-269711-tw5armh8 255 22 the the DT cord-269711-tw5armh8 255 23 total total JJ cord-269711-tw5armh8 255 24 number number NN cord-269711-tw5armh8 255 25 of of IN cord-269711-tw5armh8 255 26 links link NNS cord-269711-tw5armh8 255 27 L¼3 L¼3 NNP cord-269711-tw5armh8 255 28 . . . cord-269711-tw5armh8 256 1 ( ( -LRB- cord-269711-tw5armh8 256 2 2 2 LS cord-269711-tw5armh8 256 3 ) ) -RRB- cord-269711-tw5armh8 256 4 Create create VB cord-269711-tw5armh8 256 5 a a DT cord-269711-tw5armh8 256 6 new new JJ cord-269711-tw5armh8 256 7 node node NN cord-269711-tw5armh8 256 8 . . . cord-269711-tw5armh8 257 1 With with IN cord-269711-tw5armh8 257 2 a a DT cord-269711-tw5armh8 257 3 probability probability NN cord-269711-tw5armh8 257 4 of of IN cord-269711-tw5armh8 257 5 0.3 0.3 CD cord-269711-tw5armh8 257 6 , , , cord-269711-tw5armh8 257 7 add add VB cord-269711-tw5armh8 257 8 2 2 CD cord-269711-tw5armh8 257 9 links link NNS cord-269711-tw5armh8 257 10 . . . cord-269711-tw5armh8 258 1 Otherwise otherwise RB cord-269711-tw5armh8 258 2 add add VB cord-269711-tw5armh8 258 3 3 3 CD cord-269711-tw5armh8 258 4 links link NNS cord-269711-tw5armh8 258 5 . . . cord-269711-tw5armh8 259 1 For for IN cord-269711-tw5armh8 259 2 each each DT cord-269711-tw5armh8 259 3 of of IN cord-269711-tw5armh8 259 4 these these DT cord-269711-tw5armh8 259 5 additional additional JJ cord-269711-tw5armh8 259 6 links link NNS cord-269711-tw5armh8 259 7 to to TO cord-269711-tw5armh8 259 8 be be VB cord-269711-tw5armh8 259 9 added add VBN cord-269711-tw5armh8 259 10 find find VB cord-269711-tw5armh8 259 11 a a DT cord-269711-tw5armh8 259 12 node node NN cord-269711-tw5armh8 259 13 to to TO cord-269711-tw5armh8 259 14 link link VB cord-269711-tw5armh8 259 15 to to IN cord-269711-tw5armh8 259 16 as as IN cord-269711-tw5armh8 259 17 outlined outline VBN cord-269711-tw5armh8 259 18 in in IN cord-269711-tw5armh8 259 19 step step NN cord-269711-tw5armh8 259 20 3 3 CD cord-269711-tw5armh8 259 21 . . . cord-269711-tw5armh8 260 1 ( ( -LRB- cord-269711-tw5armh8 260 2 3 3 LS cord-269711-tw5armh8 260 3 ) ) -RRB- cord-269711-tw5armh8 260 4 Loop loop VB cord-269711-tw5armh8 260 5 through through IN cord-269711-tw5armh8 260 6 the the DT cord-269711-tw5armh8 260 7 list list NN cord-269711-tw5armh8 260 8 of of IN cord-269711-tw5armh8 260 9 nodes node NNS cord-269711-tw5armh8 260 10 and and CC cord-269711-tw5armh8 260 11 create create VB cord-269711-tw5armh8 260 12 a a DT cord-269711-tw5armh8 260 13 link link NN cord-269711-tw5armh8 260 14 with with IN cord-269711-tw5armh8 260 15 probability probability NN cord-269711-tw5armh8 260 16 d d NN cord-269711-tw5armh8 260 17 = = SYM cord-269711-tw5armh8 260 18 ð2LÞ ð2LÞ NNP cord-269711-tw5armh8 260 19 , , , cord-269711-tw5armh8 260 20 where where WRB cord-269711-tw5armh8 260 21 d d NNP cord-269711-tw5armh8 260 22 is be VBZ cord-269711-tw5armh8 260 23 the the DT cord-269711-tw5armh8 260 24 degree degree NN cord-269711-tw5armh8 260 25 of of IN cord-269711-tw5armh8 260 26 the the DT cord-269711-tw5armh8 260 27 currently currently RB cord-269711-tw5armh8 260 28 considered consider VBN cord-269711-tw5armh8 260 29 target target NN cord-269711-tw5armh8 260 30 node node NN cord-269711-tw5armh8 260 31 . . . cord-269711-tw5armh8 261 1 ( ( -LRB- cord-269711-tw5armh8 261 2 4 4 LS cord-269711-tw5armh8 261 3 ) ) -RRB- cord-269711-tw5armh8 261 4 Increase increase VB cord-269711-tw5armh8 261 5 L l NN cord-269711-tw5armh8 261 6 by by IN cord-269711-tw5armh8 261 7 2 2 CD cord-269711-tw5armh8 261 8 or or CC cord-269711-tw5armh8 261 9 3 3 CD cord-269711-tw5armh8 261 10 depending depend VBG cord-269711-tw5armh8 261 11 on on IN cord-269711-tw5armh8 261 12 the the DT cord-269711-tw5armh8 261 13 choice choice NN cord-269711-tw5armh8 261 14 in in IN cord-269711-tw5armh8 261 15 step step NN cord-269711-tw5armh8 261 16 2 2 CD cord-269711-tw5armh8 261 17 . . . cord-269711-tw5armh8 262 1 ( ( -LRB- cord-269711-tw5armh8 262 2 5 5 LS cord-269711-tw5armh8 262 3 ) ) -RRB- cord-269711-tw5armh8 262 4 Repeat repeat VB cord-269711-tw5armh8 262 5 NÀ3 NÀ3 NNP cord-269711-tw5armh8 262 6 times times NNP cord-269711-tw5armh8 262 7 steps step NNS cord-269711-tw5armh8 262 8 2 2 CD cord-269711-tw5armh8 262 9 and and CC cord-269711-tw5armh8 262 10 3 3 CD cord-269711-tw5armh8 262 11 . . . cord-269711-tw5armh8 263 1 ( ( -LRB- cord-269711-tw5armh8 263 2 6 6 LS cord-269711-tw5armh8 263 3 ) ) -RRB- cord-269711-tw5armh8 263 4 Prune prune VB cord-269711-tw5armh8 263 5 nodes node NNS cord-269711-tw5armh8 263 6 with with IN cord-269711-tw5armh8 263 7 a a DT cord-269711-tw5armh8 263 8 degree degree NN cord-269711-tw5armh8 263 9 4 4 CD cord-269711-tw5armh8 263 10 M. M. NNP cord-269711-tw5armh8 263 11 Small small JJ cord-269711-tw5armh8 263 12 world world NN cord-269711-tw5armh8 263 13 networks network NNS cord-269711-tw5armh8 263 14 are be VBP cord-269711-tw5armh8 263 15 characterized characterize VBN cord-269711-tw5armh8 263 16 by by IN cord-269711-tw5armh8 263 17 the the DT cord-269711-tw5armh8 263 18 combination combination NN cord-269711-tw5armh8 263 19 of of IN cord-269711-tw5armh8 263 20 a a DT cord-269711-tw5armh8 263 21 relatively relatively RB cord-269711-tw5armh8 263 22 large large JJ cord-269711-tw5armh8 263 23 number number NN cord-269711-tw5armh8 263 24 of of IN cord-269711-tw5armh8 263 25 local local JJ cord-269711-tw5armh8 263 26 links link NNS cord-269711-tw5armh8 263 27 with with IN cord-269711-tw5armh8 263 28 a a DT cord-269711-tw5armh8 263 29 small small JJ cord-269711-tw5armh8 263 30 number number NN cord-269711-tw5armh8 263 31 of of IN cord-269711-tw5armh8 263 32 non non JJ cord-269711-tw5armh8 263 33 - - JJ cord-269711-tw5armh8 263 34 local local JJ cord-269711-tw5armh8 263 35 links link NNS cord-269711-tw5armh8 263 36 . . . cord-269711-tw5armh8 264 1 Consequently consequently RB cord-269711-tw5armh8 264 2 , , , cord-269711-tw5armh8 264 3 there there EX cord-269711-tw5armh8 264 4 is be VBZ cord-269711-tw5armh8 264 5 in in IN cord-269711-tw5armh8 264 6 principle principle NN cord-269711-tw5armh8 264 7 a a DT cord-269711-tw5armh8 264 8 very very RB cord-269711-tw5armh8 264 9 large large JJ cord-269711-tw5armh8 264 10 number number NN cord-269711-tw5armh8 264 11 of of IN cord-269711-tw5armh8 264 12 possible possible JJ cord-269711-tw5armh8 264 13 small small JJ cord-269711-tw5armh8 264 14 world world NN cord-269711-tw5armh8 264 15 networks network NNS cord-269711-tw5armh8 264 16 . . . cord-269711-tw5armh8 265 1 One one CD cord-269711-tw5armh8 265 2 of of IN cord-269711-tw5armh8 265 3 the the DT cord-269711-tw5armh8 265 4 simplest simple JJS cord-269711-tw5armh8 265 5 ways way NNS cord-269711-tw5armh8 265 6 to to TO cord-269711-tw5armh8 265 7 create create VB cord-269711-tw5armh8 265 8 a a DT cord-269711-tw5armh8 265 9 small small JJ cord-269711-tw5armh8 265 10 world world NN cord-269711-tw5armh8 265 11 network network NN cord-269711-tw5armh8 265 12 is be VBZ cord-269711-tw5armh8 265 13 to to IN cord-269711-tw5armh8 265 14 first first JJ cord-269711-tw5armh8 265 15 place place NN cord-269711-tw5armh8 265 16 nodes node NNS cord-269711-tw5armh8 265 17 sequentially sequentially RB cord-269711-tw5armh8 265 18 on on IN cord-269711-tw5armh8 265 19 a a DT cord-269711-tw5armh8 265 20 circle circle NN cord-269711-tw5armh8 265 21 and and CC cord-269711-tw5armh8 265 22 couple couple VB cord-269711-tw5armh8 265 23 them -PRON- PRP cord-269711-tw5armh8 265 24 to to IN cord-269711-tw5armh8 265 25 their -PRON- PRP$ cord-269711-tw5armh8 265 26 neighbors neighbor NNS cord-269711-tw5armh8 265 27 , , , cord-269711-tw5armh8 265 28 similar similar JJ cord-269711-tw5armh8 265 29 to to IN cord-269711-tw5armh8 265 30 the the DT cord-269711-tw5armh8 265 31 way way NN cord-269711-tw5armh8 265 32 many many JJ cord-269711-tw5armh8 265 33 coupled couple VBN cord-269711-tw5armh8 265 34 map map NN cord-269711-tw5armh8 265 35 lattices lattice NNS cord-269711-tw5armh8 265 36 are be VBP cord-269711-tw5armh8 265 37 constructed construct VBN cord-269711-tw5armh8 265 38 ( ( -LRB- cord-269711-tw5armh8 265 39 Willeboordse Willeboordse NNP cord-269711-tw5armh8 265 40 , , , cord-269711-tw5armh8 265 41 2006 2006 CD cord-269711-tw5armh8 265 42 ) ) -RRB- cord-269711-tw5armh8 265 43 , , , cord-269711-tw5armh8 265 44 and and CC cord-269711-tw5armh8 265 45 to to TO cord-269711-tw5armh8 265 46 then then RB cord-269711-tw5armh8 265 47 create create VB cord-269711-tw5armh8 265 48 some some DT cord-269711-tw5armh8 265 49 random random JJ cord-269711-tw5armh8 265 50 short short JJ cord-269711-tw5armh8 265 51 cuts cut NNS cord-269711-tw5armh8 265 52 . . . cord-269711-tw5armh8 266 1 This this DT cord-269711-tw5armh8 266 2 is be VBZ cord-269711-tw5armh8 266 3 basically basically RB cord-269711-tw5armh8 266 4 also also RB cord-269711-tw5armh8 266 5 the the DT cord-269711-tw5armh8 266 6 way way NN cord-269711-tw5armh8 266 7 the the DT cord-269711-tw5armh8 266 8 small small JJ cord-269711-tw5armh8 266 9 world world NN cord-269711-tw5armh8 266 10 network network NN cord-269711-tw5armh8 266 11 used use VBN cord-269711-tw5armh8 266 12 here here RB cord-269711-tw5armh8 266 13 is be VBZ cord-269711-tw5armh8 266 14 generated generate VBN cord-269711-tw5armh8 266 15 . . . cord-269711-tw5armh8 267 1 The the DT cord-269711-tw5armh8 267 2 only only JJ cord-269711-tw5armh8 267 3 modification modification NN cord-269711-tw5armh8 267 4 is be VBZ cord-269711-tw5armh8 267 5 that that IN cord-269711-tw5armh8 267 6 the the DT cord-269711-tw5armh8 267 7 coupling coupling NN cord-269711-tw5armh8 267 8 range range NN cord-269711-tw5armh8 267 9 ( ( -LRB- cord-269711-tw5armh8 267 10 i.e. i.e. FW cord-269711-tw5armh8 267 11 the the DT cord-269711-tw5armh8 267 12 number number NN cord-269711-tw5armh8 267 13 of of IN cord-269711-tw5armh8 267 14 neighbors neighbor NNS cord-269711-tw5armh8 267 15 linked link VBN cord-269711-tw5armh8 267 16 to to IN cord-269711-tw5armh8 267 17 ) ) -RRB- cord-269711-tw5armh8 267 18 is be VBZ cord-269711-tw5armh8 267 19 randomly randomly RB cord-269711-tw5armh8 267 20 varied varied JJ cord-269711-tw5armh8 267 21 between between IN cord-269711-tw5armh8 267 22 2 2 CD cord-269711-tw5armh8 267 23 and and CC cord-269711-tw5armh8 267 24 3 3 CD cord-269711-tw5armh8 267 25 in in IN cord-269711-tw5armh8 267 26 order order NN cord-269711-tw5armh8 267 27 to to TO cord-269711-tw5armh8 267 28 obtain obtain VB cord-269711-tw5armh8 267 29 an an DT cord-269711-tw5armh8 267 30 average average JJ cord-269711-tw5armh8 267 31 degree degree NN cord-269711-tw5armh8 267 32 equal equal JJ cord-269711-tw5armh8 267 33 to to IN cord-269711-tw5armh8 267 34 that that DT cord-269711-tw5armh8 267 35 of of IN cord-269711-tw5armh8 267 36 the the DT cord-269711-tw5armh8 267 37 random random JJ cord-269711-tw5armh8 267 38 network network NN cord-269711-tw5armh8 267 39 ( ( -LRB- cord-269711-tw5armh8 267 40 i.e. i.e. FW cord-269711-tw5armh8 267 41 /kS /kS : cord-269711-tw5armh8 267 42 ¼ ¼ NNP cord-269711-tw5armh8 267 43 5 5 CD cord-269711-tw5armh8 267 44 ) ) -RRB- cord-269711-tw5armh8 267 45 . . . cord-269711-tw5armh8 268 1 We -PRON- PRP cord-269711-tw5armh8 268 2 also also RB cord-269711-tw5armh8 268 3 use use VBP cord-269711-tw5armh8 268 4 periodic periodic JJ cord-269711-tw5armh8 268 5 boundary boundary JJ cord-269711-tw5armh8 268 6 conditions condition NNS cord-269711-tw5armh8 268 7 , , , cord-269711-tw5armh8 268 8 which which WDT cord-269711-tw5armh8 268 9 as as IN cord-269711-tw5armh8 268 10 such such JJ cord-269711-tw5armh8 268 11 is be VBZ cord-269711-tw5armh8 268 12 not not RB cord-269711-tw5armh8 268 13 necessary necessary JJ cord-269711-tw5armh8 268 14 for for IN cord-269711-tw5armh8 268 15 a a DT cord-269711-tw5armh8 268 16 small small JJ cord-269711-tw5armh8 268 17 world world NN cord-269711-tw5armh8 268 18 network network NN cord-269711-tw5armh8 268 19 but but CC cord-269711-tw5armh8 268 20 is be VBZ cord-269711-tw5armh8 268 21 commonly commonly RB cord-269711-tw5armh8 268 22 done do VBN cord-269711-tw5armh8 268 23 . . . cord-269711-tw5armh8 269 1 The the DT cord-269711-tw5armh8 269 2 motivation motivation NN cord-269711-tw5armh8 269 3 for for IN cord-269711-tw5armh8 269 4 studying study VBG cord-269711-tw5armh8 269 5 small small JJ cord-269711-tw5armh8 269 6 world world NN cord-269711-tw5armh8 269 7 networks network NNS cord-269711-tw5armh8 269 8 is be VBZ cord-269711-tw5armh8 269 9 that that IN cord-269711-tw5armh8 269 10 small small JJ cord-269711-tw5armh8 269 11 groups group NNS cord-269711-tw5armh8 269 12 of of IN cord-269711-tw5armh8 269 13 people people NNS cord-269711-tw5armh8 269 14 in in IN cord-269711-tw5armh8 269 15 a a DT cord-269711-tw5armh8 269 16 population population NN cord-269711-tw5armh8 269 17 are be VBP cord-269711-tw5armh8 269 18 often often RB cord-269711-tw5armh8 269 19 ( ( -LRB- cord-269711-tw5armh8 269 20 almost almost RB cord-269711-tw5armh8 269 21 ) ) -RRB- cord-269711-tw5armh8 269 22 fully fully RB cord-269711-tw5armh8 269 23 linked link VBN cord-269711-tw5armh8 269 24 ( ( -LRB- cord-269711-tw5armh8 269 25 such such JJ cord-269711-tw5armh8 269 26 as as IN cord-269711-tw5armh8 269 27 family family NN cord-269711-tw5armh8 269 28 members member NNS cord-269711-tw5armh8 269 29 or or CC cord-269711-tw5armh8 269 30 co co NNS cord-269711-tw5armh8 269 31 - - NNS cord-269711-tw5armh8 269 32 workers worker NNS cord-269711-tw5armh8 269 33 ) ) -RRB- cord-269711-tw5armh8 269 34 with with IN cord-269711-tw5armh8 269 35 some some DT cord-269711-tw5armh8 269 36 connections connection NNS cord-269711-tw5armh8 269 37 to to IN cord-269711-tw5armh8 269 38 other other JJ cord-269711-tw5armh8 269 39 groups group NNS cord-269711-tw5armh8 269 40 of of IN cord-269711-tw5armh8 269 41 people people NNS cord-269711-tw5armh8 269 42 . . . cord-269711-tw5armh8 270 1 Our -PRON- PRP$ cord-269711-tw5armh8 270 2 small small JJ cord-269711-tw5armh8 270 3 world world NN cord-269711-tw5armh8 270 4 network network NN cord-269711-tw5armh8 270 5 is be VBZ cord-269711-tw5armh8 270 6 generated generate VBN cord-269711-tw5armh8 270 7 as as IN cord-269711-tw5armh8 270 8 follows follow VBZ cord-269711-tw5armh8 271 1 : : : cord-269711-tw5armh8 271 2 ( ( -LRB- cord-269711-tw5armh8 271 3 1 1 LS cord-269711-tw5armh8 271 4 ) ) -RRB- cord-269711-tw5armh8 271 5 Create create VB cord-269711-tw5armh8 271 6 N N NNP cord-269711-tw5armh8 271 7 new new JJ cord-269711-tw5armh8 271 8 unlinked unlinked JJ cord-269711-tw5armh8 271 9 nodes node NNS cord-269711-tw5armh8 271 10 with with IN cord-269711-tw5armh8 271 11 index index NN cord-269711-tw5armh8 271 12 i i NN cord-269711-tw5armh8 271 13 ¼ ¼ NNP cord-269711-tw5armh8 271 14 1 1 CD cord-269711-tw5armh8 271 15 . . . cord-269711-tw5armh8 271 16 . . . cord-269711-tw5armh8 271 17 . . . cord-269711-tw5armh8 272 1 N. N. NNP cord-269711-tw5armh8 272 2 ( ( -LRB- cord-269711-tw5armh8 272 3 2 2 CD cord-269711-tw5armh8 272 4 ) ) -RRB- cord-269711-tw5armh8 273 1 With with IN cord-269711-tw5armh8 273 2 a a DT cord-269711-tw5armh8 273 3 probability probability NN cord-269711-tw5armh8 273 4 of of IN cord-269711-tw5armh8 273 5 0.55 0.55 CD cord-269711-tw5armh8 273 6 , , , cord-269711-tw5armh8 273 7 link link NN cord-269711-tw5armh8 273 8 to to IN cord-269711-tw5armh8 273 9 neighboring neighboring NN cord-269711-tw5armh8 273 10 and and CC cord-269711-tw5armh8 273 11 second second JJ cord-269711-tw5armh8 273 12 neighboring neighboring NN cord-269711-tw5armh8 273 13 nodes node NNS cord-269711-tw5armh8 273 14 ( ( -LRB- cord-269711-tw5armh8 273 15 i.e. i.e. FW cord-269711-tw5armh8 273 16 create create VBP cord-269711-tw5armh8 273 17 links link NNS cord-269711-tw5armh8 273 18 i2iÀ1 i2iÀ1 NNS cord-269711-tw5armh8 273 19 , , , cord-269711-tw5armh8 273 20 i2iþ i2iþ NN cord-269711-tw5armh8 273 21 1 1 CD cord-269711-tw5armh8 273 22 , , , cord-269711-tw5armh8 273 23 i2iÀ2 i2iÀ2 NNP cord-269711-tw5armh8 273 24 , , , cord-269711-tw5armh8 273 25 i2iþ i2iþ NNP cord-269711-tw5armh8 273 26 2 2 CD cord-269711-tw5armh8 273 27 ) ) -RRB- cord-269711-tw5armh8 273 28 . . . cord-269711-tw5armh8 274 1 Otherwise otherwise RB cord-269711-tw5armh8 274 2 , , , cord-269711-tw5armh8 274 3 also also RB cord-269711-tw5armh8 274 4 link link VBP cord-269711-tw5armh8 274 5 up up RP cord-269711-tw5armh8 274 6 to to IN cord-269711-tw5armh8 274 7 the the DT cord-269711-tw5armh8 274 8 third third JJ cord-269711-tw5armh8 274 9 neighboring neighboring NN cord-269711-tw5armh8 274 10 nodes node NNS cord-269711-tw5armh8 274 11 ( ( -LRB- cord-269711-tw5armh8 274 12 i.e. i.e. FW cord-269711-tw5armh8 274 13 create create VBP cord-269711-tw5armh8 274 14 links link NNS cord-269711-tw5armh8 274 15 i2iÀ1 i2iÀ1 NNS cord-269711-tw5armh8 274 16 , , , cord-269711-tw5armh8 274 17 i2i i2i NNP cord-269711-tw5armh8 274 18 þ1 þ1 NNP cord-269711-tw5armh8 274 19 , , , cord-269711-tw5armh8 274 20 i2iÀ2 i2ià2 NN cord-269711-tw5armh8 274 21 , , , cord-269711-tw5armh8 274 22 i2i i2i NNP cord-269711-tw5armh8 274 23 þ2 þ2 NNP cord-269711-tw5armh8 274 24 , , , cord-269711-tw5armh8 274 25 i2iÀ3 i2ià3 CD cord-269711-tw5armh8 274 26 , , , cord-269711-tw5armh8 274 27 i2i i2i NNP cord-269711-tw5armh8 274 28 þ3 þ3 NNP cord-269711-tw5armh8 274 29 ) ) -RRB- cord-269711-tw5armh8 274 30 . . . cord-269711-tw5armh8 275 1 Periodic periodic JJ cord-269711-tw5armh8 275 2 boundary boundary JJ cord-269711-tw5armh8 275 3 conditions condition NNS cord-269711-tw5armh8 275 4 are be VBP cord-269711-tw5armh8 275 5 used use VBN cord-269711-tw5armh8 275 6 ( ( -LRB- cord-269711-tw5armh8 275 7 i.e. i.e. FW cord-269711-tw5armh8 275 8 the the DT cord-269711-tw5armh8 275 9 left left JJ cord-269711-tw5armh8 275 10 nearest near JJS cord-269711-tw5armh8 275 11 neighbor neighbor NN cord-269711-tw5armh8 275 12 of of IN cord-269711-tw5armh8 275 13 node node NN cord-269711-tw5armh8 275 14 1 1 CD cord-269711-tw5armh8 276 1 is be VBZ cord-269711-tw5armh8 276 2 node node NN cord-269711-tw5armh8 276 3 N n CD cord-269711-tw5armh8 276 4 while while IN cord-269711-tw5armh8 276 5 the the DT cord-269711-tw5armh8 276 6 right right JJ cord-269711-tw5armh8 276 7 nearest near JJS cord-269711-tw5armh8 276 8 neighbor neighbor NN cord-269711-tw5armh8 276 9 of of IN cord-269711-tw5armh8 276 10 node node NN cord-269711-tw5armh8 276 11 N N NNP cord-269711-tw5armh8 276 12 is be VBZ cord-269711-tw5armh8 276 13 node node NN cord-269711-tw5armh8 276 14 1 1 CD cord-269711-tw5armh8 276 15 ) ) -RRB- cord-269711-tw5armh8 276 16 . . . cord-269711-tw5armh8 277 1 ( ( -LRB- cord-269711-tw5armh8 277 2 3 3 LS cord-269711-tw5armh8 277 3 ) ) -RRB- cord-269711-tw5armh8 277 4 Create create VB cord-269711-tw5armh8 277 5 the the DT cord-269711-tw5armh8 277 6 ' ' `` cord-269711-tw5armh8 277 7 large large JJ cord-269711-tw5armh8 277 8 world world NN cord-269711-tw5armh8 277 9 ' ' '' cord-269711-tw5armh8 277 10 network network NN cord-269711-tw5armh8 277 11 by by IN cord-269711-tw5armh8 277 12 repeating repeat VBG cord-269711-tw5armh8 277 13 step step NN cord-269711-tw5armh8 277 14 2 2 CD cord-269711-tw5armh8 277 15 for for IN cord-269711-tw5armh8 277 16 each each DT cord-269711-tw5armh8 277 17 node node NN cord-269711-tw5armh8 277 18 . . . cord-269711-tw5armh8 278 1 ( ( -LRB- cord-269711-tw5armh8 278 2 4 4 LS cord-269711-tw5armh8 278 3 ) ) -RRB- cord-269711-tw5armh8 279 1 With with IN cord-269711-tw5armh8 279 2 a a DT cord-269711-tw5armh8 279 3 probability probability NN cord-269711-tw5armh8 279 4 of of IN cord-269711-tw5armh8 279 5 0.05 0.05 CD cord-269711-tw5armh8 279 6 add add VB cord-269711-tw5armh8 279 7 a a DT cord-269711-tw5armh8 279 8 link link NN cord-269711-tw5armh8 279 9 to to IN cord-269711-tw5armh8 279 10 a a DT cord-269711-tw5armh8 279 11 uniformly uniformly RB cord-269711-tw5armh8 279 12 randomly randomly RB cord-269711-tw5armh8 279 13 chosen choose VBN cord-269711-tw5armh8 279 14 node node NN cord-269711-tw5armh8 279 15 excluding exclude VBG cord-269711-tw5armh8 279 16 self self NN cord-269711-tw5armh8 279 17 and and CC cord-269711-tw5armh8 279 18 nodes node NNS cord-269711-tw5armh8 280 1 already already RB cord-269711-tw5armh8 280 2 linked link VBN cord-269711-tw5armh8 280 3 to to IN cord-269711-tw5armh8 280 4 . . . cord-269711-tw5armh8 281 1 ( ( -LRB- cord-269711-tw5armh8 281 2 5 5 LS cord-269711-tw5armh8 281 3 ) ) -RRB- cord-269711-tw5armh8 281 4 Create create VB cord-269711-tw5armh8 281 5 the the DT cord-269711-tw5armh8 281 6 small small JJ cord-269711-tw5armh8 281 7 world world NN cord-269711-tw5armh8 281 8 network network NN cord-269711-tw5armh8 281 9 by by IN cord-269711-tw5armh8 281 10 carrying carry VBG cord-269711-tw5armh8 281 11 out out RP cord-269711-tw5armh8 281 12 step step NN cord-269711-tw5armh8 281 13 4 4 CD cord-269711-tw5armh8 281 14 for for IN cord-269711-tw5armh8 281 15 each each DT cord-269711-tw5armh8 281 16 node node NN cord-269711-tw5armh8 281 17 . . . cord-269711-tw5armh8 282 1 In in IN cord-269711-tw5armh8 282 2 the the DT cord-269711-tw5armh8 282 3 random random JJ cord-269711-tw5armh8 282 4 network network NN cord-269711-tw5armh8 282 5 , , , cord-269711-tw5armh8 282 6 the the DT cord-269711-tw5armh8 282 7 probability probability NN cord-269711-tw5armh8 282 8 for for IN cord-269711-tw5armh8 282 9 an an DT cord-269711-tw5armh8 282 10 arbitrary arbitrary JJ cord-269711-tw5armh8 282 11 node node NN cord-269711-tw5armh8 282 12 to to TO cord-269711-tw5armh8 282 13 be be VB cord-269711-tw5armh8 282 14 linked link VBN cord-269711-tw5armh8 282 15 to to IN cord-269711-tw5armh8 282 16 any any DT cord-269711-tw5armh8 282 17 other other JJ cord-269711-tw5armh8 282 18 arbitrary arbitrary JJ cord-269711-tw5armh8 282 19 node node NN cord-269711-tw5armh8 282 20 is be VBZ cord-269711-tw5armh8 282 21 constant constant JJ cord-269711-tw5armh8 282 22 and and CC cord-269711-tw5armh8 282 23 there there EX cord-269711-tw5armh8 282 24 is be VBZ cord-269711-tw5armh8 282 25 no no DT cord-269711-tw5armh8 282 26 clear clear JJ cord-269711-tw5armh8 282 27 notion notion NN cord-269711-tw5armh8 282 28 of of IN cord-269711-tw5armh8 282 29 locality locality NN cord-269711-tw5armh8 282 30 . . . cord-269711-tw5armh8 283 1 In in IN cord-269711-tw5armh8 283 2 the the DT cord-269711-tw5armh8 283 3 small small JJ cord-269711-tw5armh8 283 4 world world NN cord-269711-tw5armh8 283 5 network network NN cord-269711-tw5armh8 283 6 on on IN cord-269711-tw5armh8 283 7 the the DT cord-269711-tw5armh8 283 8 other other JJ cord-269711-tw5armh8 283 9 hand hand NN cord-269711-tw5armh8 283 10 , , , cord-269711-tw5armh8 283 11 tightly tightly RB cord-269711-tw5armh8 283 12 integrated integrate VBD cord-269711-tw5armh8 283 13 local local JJ cord-269711-tw5armh8 283 14 connections connection NNS cord-269711-tw5armh8 283 15 are be VBP cord-269711-tw5armh8 283 16 supplemented supplement VBN cord-269711-tw5armh8 283 17 by by IN cord-269711-tw5armh8 283 18 links link NNS cord-269711-tw5armh8 283 19 to to IN cord-269711-tw5armh8 283 20 other other JJ cord-269711-tw5armh8 283 21 parts part NNS cord-269711-tw5armh8 283 22 of of IN cord-269711-tw5armh8 283 23 the the DT cord-269711-tw5armh8 283 24 network network NN cord-269711-tw5armh8 283 25 . . . cord-269711-tw5armh8 284 1 To to TO cord-269711-tw5armh8 284 2 model model VB cord-269711-tw5armh8 284 3 a a DT cord-269711-tw5armh8 284 4 situation situation NN cord-269711-tw5armh8 284 5 in in IN cord-269711-tw5armh8 284 6 between between IN cord-269711-tw5armh8 284 7 where where WRB cord-269711-tw5armh8 284 8 randomly randomly RB cord-269711-tw5armh8 284 9 linked link VBN cord-269711-tw5armh8 284 10 local local JJ cord-269711-tw5armh8 284 11 populations population NNS cord-269711-tw5armh8 284 12 ( ( -LRB- cord-269711-tw5armh8 284 13 such such JJ cord-269711-tw5armh8 284 14 as as IN cord-269711-tw5armh8 284 15 the the DT cord-269711-tw5armh8 284 16 populations population NNS cord-269711-tw5armh8 284 17 of of IN cord-269711-tw5armh8 284 18 villages village NNS cord-269711-tw5armh8 284 19 in in IN cord-269711-tw5armh8 284 20 a a DT cord-269711-tw5armh8 284 21 region region NN cord-269711-tw5armh8 284 22 ) ) -RRB- cord-269711-tw5armh8 284 23 are be VBP cord-269711-tw5armh8 284 24 randomly randomly RB cord-269711-tw5armh8 284 25 linked link VBN cord-269711-tw5armh8 284 26 to to IN cord-269711-tw5armh8 284 27 each each DT cord-269711-tw5armh8 284 28 other other JJ cord-269711-tw5armh8 284 29 ( ( -LRB- cord-269711-tw5armh8 284 30 for for IN cord-269711-tw5armh8 284 31 example example NN cord-269711-tw5armh8 284 32 , , , cord-269711-tw5armh8 284 33 some some DT cord-269711-tw5armh8 284 34 members member NNS cord-269711-tw5armh8 284 35 of of IN cord-269711-tw5armh8 284 36 the the DT cord-269711-tw5armh8 284 37 population population NN cord-269711-tw5armh8 284 38 of of IN cord-269711-tw5armh8 284 39 one one CD cord-269711-tw5armh8 284 40 village village NN cord-269711-tw5armh8 284 41 are be VBP cord-269711-tw5armh8 284 42 linked link VBN cord-269711-tw5armh8 284 43 to to IN cord-269711-tw5armh8 284 44 some some DT cord-269711-tw5armh8 284 45 members member NNS cord-269711-tw5armh8 284 46 of of IN cord-269711-tw5armh8 284 47 some some DT cord-269711-tw5armh8 284 48 other other JJ cord-269711-tw5armh8 284 49 villages village NNS cord-269711-tw5armh8 284 50 ) ) -RRB- cord-269711-tw5armh8 284 51 , , , cord-269711-tw5armh8 284 52 we -PRON- PRP cord-269711-tw5armh8 284 53 consider consider VBP cord-269711-tw5armh8 284 54 a a DT cord-269711-tw5armh8 284 55 meta meta JJ cord-269711-tw5armh8 284 56 - - HYPH cord-269711-tw5armh8 284 57 random random JJ cord-269711-tw5armh8 284 58 network network NN cord-269711-tw5armh8 284 59 . . . cord-269711-tw5armh8 285 1 When when WRB cord-269711-tw5armh8 285 2 increasing increase VBG cord-269711-tw5armh8 285 3 the the DT cord-269711-tw5armh8 285 4 number number NN cord-269711-tw5armh8 285 5 of of IN cord-269711-tw5armh8 285 6 shortcuts shortcut NNS cord-269711-tw5armh8 285 7 , , , cord-269711-tw5armh8 285 8 a a DT cord-269711-tw5armh8 285 9 meta meta JJ cord-269711-tw5armh8 285 10 - - HYPH cord-269711-tw5armh8 285 11 random random JJ cord-269711-tw5armh8 285 12 network network NN cord-269711-tw5armh8 285 13 transitions transition NNS cord-269711-tw5armh8 285 14 to to IN cord-269711-tw5armh8 285 15 a a DT cord-269711-tw5armh8 285 16 random random JJ cord-269711-tw5armh8 285 17 network network NN cord-269711-tw5armh8 285 18 . . . cord-269711-tw5armh8 286 1 It -PRON- PRP cord-269711-tw5armh8 286 2 can can MD cord-269711-tw5armh8 286 3 be be VB cord-269711-tw5armh8 286 4 argued argue VBN cord-269711-tw5armh8 286 5 that that IN cord-269711-tw5armh8 286 6 among among IN cord-269711-tw5armh8 286 7 the the DT cord-269711-tw5armh8 286 8 networks network NNS cord-269711-tw5armh8 286 9 investigated investigate VBN cord-269711-tw5armh8 286 10 here here RB cord-269711-tw5armh8 286 11 , , , cord-269711-tw5armh8 286 12 a a DT cord-269711-tw5armh8 286 13 meta meta JJ cord-269711-tw5armh8 286 14 - - HYPH cord-269711-tw5armh8 286 15 random random JJ cord-269711-tw5armh8 286 16 network network NN cord-269711-tw5armh8 286 17 is be VBZ cord-269711-tw5armh8 286 18 the the DT cord-269711-tw5armh8 286 19 most most RBS cord-269711-tw5armh8 286 20 representative representative NN cord-269711-tw5armh8 286 21 of of IN cord-269711-tw5armh8 286 22 the the DT cord-269711-tw5armh8 286 23 population population NN cord-269711-tw5armh8 286 24 in in IN cord-269711-tw5armh8 286 25 a a DT cord-269711-tw5armh8 286 26 state state NN cord-269711-tw5armh8 286 27 , , , cord-269711-tw5armh8 286 28 province province NN cord-269711-tw5armh8 286 29 or or CC cord-269711-tw5armh8 286 30 country country NN cord-269711-tw5armh8 286 31 . . . cord-269711-tw5armh8 287 1 Our -PRON- PRP$ cord-269711-tw5armh8 287 2 meta meta JJ cord-269711-tw5armh8 287 3 - - HYPH cord-269711-tw5armh8 287 4 random random JJ cord-269711-tw5armh8 287 5 network network NN cord-269711-tw5armh8 287 6 is be VBZ cord-269711-tw5armh8 287 7 generated generate VBN cord-269711-tw5armh8 287 8 as as IN cord-269711-tw5armh8 287 9 follows follow VBZ cord-269711-tw5armh8 288 1 : : : cord-269711-tw5armh8 288 2 ( ( -LRB- cord-269711-tw5armh8 288 3 1 1 LS cord-269711-tw5armh8 288 4 ) ) -RRB- cord-269711-tw5armh8 288 5 Create create VB cord-269711-tw5armh8 288 6 N N NNP cord-269711-tw5armh8 288 7 new new JJ cord-269711-tw5armh8 288 8 unlinked unlinked JJ cord-269711-tw5armh8 288 9 nodes node NNS cord-269711-tw5armh8 288 10 with with IN cord-269711-tw5armh8 288 11 index index NN cord-269711-tw5armh8 288 12 i i NN cord-269711-tw5armh8 288 13 ¼ ¼ NNP cord-269711-tw5armh8 288 14 1 1 CD cord-269711-tw5armh8 288 15 . . . cord-269711-tw5armh8 288 16 . . . cord-269711-tw5armh8 288 17 . . . cord-269711-tw5armh8 289 1 N. N. NNP cord-269711-tw5armh8 290 1 ( ( -LRB- cord-269711-tw5armh8 290 2 2 2 LS cord-269711-tw5armh8 290 3 ) ) -RRB- cord-269711-tw5armh8 290 4 Group group NN cord-269711-tw5armh8 290 5 the the DT cord-269711-tw5armh8 290 6 nodes node NNS cord-269711-tw5armh8 290 7 into into IN cord-269711-tw5armh8 290 8 100 100 CD cord-269711-tw5armh8 290 9 randomly randomly RB cord-269711-tw5armh8 290 10 sized sized JJ cord-269711-tw5armh8 290 11 clusters cluster NNS cord-269711-tw5armh8 290 12 with with IN cord-269711-tw5armh8 290 13 a a DT cord-269711-tw5armh8 290 14 minimum minimum JJ cord-269711-tw5armh8 290 15 size size NN cord-269711-tw5armh8 290 16 of of IN cord-269711-tw5armh8 290 17 20 20 CD cord-269711-tw5armh8 290 18 nodes node NNS cord-269711-tw5armh8 290 19 ( ( -LRB- cord-269711-tw5armh8 290 20 the the DT cord-269711-tw5armh8 290 21 minimum minimum JJ cord-269711-tw5armh8 290 22 size size NN cord-269711-tw5armh8 290 23 was be VBD cord-269711-tw5armh8 290 24 chosen choose VBN cord-269711-tw5armh8 290 25 such such JJ cord-269711-tw5armh8 290 26 that that IN cord-269711-tw5armh8 290 27 it -PRON- PRP cord-269711-tw5armh8 290 28 is be VBZ cord-269711-tw5armh8 290 29 larger large JJR cord-269711-tw5armh8 290 30 than than IN cord-269711-tw5armh8 290 31 /kS /ks CD cord-269711-tw5armh8 290 32 , , , cord-269711-tw5armh8 290 33 which which WDT cord-269711-tw5armh8 290 34 equals equal VBZ cord-269711-tw5armh8 290 35 five five CD cord-269711-tw5armh8 290 36 throughout throughout IN cord-269711-tw5armh8 290 37 , , , cord-269711-tw5armh8 290 38 to to TO cord-269711-tw5armh8 290 39 exclude exclude VB cord-269711-tw5armh8 290 40 fully fully RB cord-269711-tw5armh8 290 41 linked link VBN cord-269711-tw5armh8 290 42 graphs graph NNS cord-269711-tw5armh8 290 43 ) ) -RRB- cord-269711-tw5armh8 290 44 . . . cord-269711-tw5armh8 291 1 This this DT cord-269711-tw5armh8 291 2 is be VBZ cord-269711-tw5armh8 291 3 done do VBN cord-269711-tw5armh8 291 4 by by IN cord-269711-tw5armh8 291 5 randomly randomly RB cord-269711-tw5armh8 291 6 choosing choose VBG cord-269711-tw5armh8 291 7 99 99 CD cord-269711-tw5armh8 291 8 values value NNS cord-269711-tw5armh8 291 9 in in IN cord-269711-tw5armh8 291 10 the the DT cord-269711-tw5armh8 291 11 range range NN cord-269711-tw5armh8 291 12 from from IN cord-269711-tw5armh8 291 13 1 1 CD cord-269711-tw5armh8 291 14 to to IN cord-269711-tw5armh8 291 15 N n CD cord-269711-tw5armh8 291 16 to to TO cord-269711-tw5armh8 291 17 serve serve VB cord-269711-tw5armh8 291 18 as as IN cord-269711-tw5armh8 291 19 cluster cluster NN cord-269711-tw5armh8 291 20 boundaries boundary NNS cord-269711-tw5armh8 291 21 with with IN cord-269711-tw5armh8 291 22 the the DT cord-269711-tw5armh8 291 23 restriction restriction NN cord-269711-tw5armh8 291 24 that that WDT cord-269711-tw5armh8 291 25 a a DT cord-269711-tw5armh8 291 26 cluster cluster NN cord-269711-tw5armh8 291 27 can can MD cord-269711-tw5armh8 291 28 not not RB cord-269711-tw5armh8 291 29 be be VB cord-269711-tw5armh8 291 30 smaller small JJR cord-269711-tw5armh8 291 31 than than IN cord-269711-tw5armh8 291 32 the the DT cord-269711-tw5armh8 291 33 minimum minimum JJ cord-269711-tw5armh8 291 34 size size NN cord-269711-tw5armh8 291 35 . . . cord-269711-tw5armh8 292 1 ( ( -LRB- cord-269711-tw5armh8 292 2 3 3 LS cord-269711-tw5armh8 292 3 ) ) -RRB- cord-269711-tw5armh8 292 4 For for IN cord-269711-tw5armh8 292 5 each each DT cord-269711-tw5armh8 292 6 cluster cluster NN cord-269711-tw5armh8 292 7 , , , cord-269711-tw5armh8 292 8 create create VB cord-269711-tw5armh8 292 9 an an DT cord-269711-tw5armh8 292 10 Erd Erd NNP cord-269711-tw5armh8 292 11 + + CC cord-269711-tw5armh8 292 12 os os JJ cord-269711-tw5armh8 292 13 - - HYPH cord-269711-tw5armh8 292 14 Ré ré NN cord-269711-tw5armh8 292 15 nyi nyi NN cord-269711-tw5armh8 292 16 type type NN cord-269711-tw5armh8 292 17 random random JJ cord-269711-tw5armh8 292 18 network network NN cord-269711-tw5armh8 292 19 . . . cord-269711-tw5armh8 293 1 ( ( -LRB- cord-269711-tw5armh8 293 2 4 4 LS cord-269711-tw5armh8 293 3 ) ) -RRB- cord-269711-tw5armh8 294 1 For for IN cord-269711-tw5armh8 294 2 each each DT cord-269711-tw5armh8 294 3 node node NN cord-269711-tw5armh8 294 4 , , , cord-269711-tw5armh8 294 5 with with IN cord-269711-tw5armh8 294 6 a a DT cord-269711-tw5armh8 294 7 probability probability NN cord-269711-tw5armh8 294 8 0.01 0.01 CD cord-269711-tw5armh8 294 9 , , , cord-269711-tw5armh8 294 10 create create VB cord-269711-tw5armh8 294 11 a a DT cord-269711-tw5armh8 294 12 link link NN cord-269711-tw5armh8 294 13 to to IN cord-269711-tw5armh8 294 14 a a DT cord-269711-tw5armh8 294 15 uniformly uniformly RB cord-269711-tw5armh8 294 16 randomly randomly RB cord-269711-tw5armh8 294 17 chosen choose VBN cord-269711-tw5armh8 294 18 node node NN cord-269711-tw5armh8 294 19 of of IN cord-269711-tw5armh8 294 20 a a DT cord-269711-tw5armh8 294 21 uniformly uniformly RB cord-269711-tw5armh8 294 22 randomly randomly RB cord-269711-tw5armh8 294 23 chosen choose VBN cord-269711-tw5armh8 294 24 cluster cluster NN cord-269711-tw5armh8 294 25 excluding exclude VBG cord-269711-tw5armh8 294 26 its -PRON- PRP$ cord-269711-tw5armh8 294 27 own own JJ cord-269711-tw5armh8 294 28 cluster cluster NN cord-269711-tw5armh8 294 29 . . . cord-269711-tw5armh8 295 1 The the DT cord-269711-tw5armh8 295 2 network network NN cord-269711-tw5armh8 295 3 described describe VBN cord-269711-tw5armh8 295 4 in in IN cord-269711-tw5armh8 295 5 this this DT cord-269711-tw5armh8 295 6 subsection subsection NN cord-269711-tw5armh8 295 7 is be VBZ cord-269711-tw5armh8 295 8 a a DT cord-269711-tw5armh8 295 9 near near JJ cord-269711-tw5armh8 295 10 neighbor neighbor NN cord-269711-tw5armh8 295 11 network network NN cord-269711-tw5armh8 295 12 and and CC cord-269711-tw5armh8 295 13 therefore therefore RB cord-269711-tw5armh8 295 14 mostly mostly RB cord-269711-tw5armh8 295 15 local local JJ cord-269711-tw5armh8 295 16 . . . cord-269711-tw5armh8 296 1 Nevertheless nevertheless RB cord-269711-tw5armh8 296 2 , , , cord-269711-tw5armh8 296 3 there there EX cord-269711-tw5armh8 296 4 are be VBP cord-269711-tw5armh8 296 5 some some DT cord-269711-tw5armh8 296 6 shortcuts shortcut NNS cord-269711-tw5armh8 296 7 but but CC cord-269711-tw5armh8 296 8 shortcuts shortcut NNS cord-269711-tw5armh8 296 9 to to IN cord-269711-tw5armh8 296 10 very very RB cord-269711-tw5armh8 296 11 distant distant JJ cord-269711-tw5armh8 296 12 parts part NNS cord-269711-tw5armh8 296 13 of of IN cord-269711-tw5armh8 296 14 the the DT cord-269711-tw5armh8 296 15 network network NN cord-269711-tw5armh8 296 16 are be VBP cord-269711-tw5armh8 296 17 not not RB cord-269711-tw5armh8 296 18 very very RB cord-269711-tw5armh8 296 19 likely likely JJ cord-269711-tw5armh8 296 20 . . . cord-269711-tw5armh8 297 1 It -PRON- PRP cord-269711-tw5armh8 297 2 could could MD cord-269711-tw5armh8 297 3 therefore therefore RB cord-269711-tw5armh8 297 4 be be VB cord-269711-tw5armh8 297 5 called call VBN cord-269711-tw5armh8 297 6 a a DT cord-269711-tw5armh8 297 7 medium medium JJ cord-269711-tw5armh8 297 8 world world NN cord-269711-tw5armh8 297 9 network network NN cord-269711-tw5armh8 297 10 ( ( -LRB- cord-269711-tw5armh8 297 11 situated situate VBN cord-269711-tw5armh8 297 12 between between IN cord-269711-tw5armh8 297 13 small small JJ cord-269711-tw5armh8 297 14 and and CC cord-269711-tw5armh8 297 15 large large JJ cord-269711-tw5armh8 297 16 world world NN cord-269711-tw5armh8 297 17 networks network NNS cord-269711-tw5armh8 297 18 ) ) -RRB- cord-269711-tw5armh8 297 19 . . . cord-269711-tw5armh8 298 1 The the DT cord-269711-tw5armh8 298 2 key key JJ cord-269711-tw5armh8 298 3 feature feature NN cord-269711-tw5armh8 298 4 of of IN cord-269711-tw5armh8 298 5 this this DT cord-269711-tw5armh8 298 6 network network NN cord-269711-tw5armh8 298 7 is be VBZ cord-269711-tw5armh8 298 8 that that IN cord-269711-tw5armh8 298 9 despite despite IN cord-269711-tw5armh8 298 10 being be VBG cord-269711-tw5armh8 298 11 mostly mostly RB cord-269711-tw5armh8 298 12 local local JJ cord-269711-tw5armh8 298 13 its -PRON- PRP$ cord-269711-tw5armh8 298 14 degree degree NN cord-269711-tw5armh8 298 15 distribution distribution NN cord-269711-tw5armh8 298 16 is be VBZ cord-269711-tw5armh8 298 17 identical identical JJ cord-269711-tw5armh8 298 18 to to IN cord-269711-tw5armh8 298 19 that that DT cord-269711-tw5armh8 298 20 of of IN cord-269711-tw5armh8 298 21 the the DT cord-269711-tw5armh8 298 22 random random JJ cord-269711-tw5armh8 298 23 network network NN cord-269711-tw5armh8 298 24 . . . cord-269711-tw5armh8 299 1 Our -PRON- PRP$ cord-269711-tw5armh8 299 2 near near JJ cord-269711-tw5armh8 299 3 neighbor neighbor NN cord-269711-tw5armh8 299 4 network network NN cord-269711-tw5armh8 299 5 is be VBZ cord-269711-tw5armh8 299 6 generated generate VBN cord-269711-tw5armh8 299 7 as as IN cord-269711-tw5armh8 299 8 follows follow VBZ cord-269711-tw5armh8 300 1 : : : cord-269711-tw5armh8 300 2 ( ( -LRB- cord-269711-tw5armh8 300 3 1 1 LS cord-269711-tw5armh8 300 4 ) ) -RRB- cord-269711-tw5armh8 300 5 Create create VB cord-269711-tw5armh8 300 6 N N NNP cord-269711-tw5armh8 300 7 new new JJ cord-269711-tw5armh8 300 8 unlinked unlinked JJ cord-269711-tw5armh8 300 9 nodes node NNS cord-269711-tw5armh8 300 10 with with IN cord-269711-tw5armh8 300 11 index index NN cord-269711-tw5armh8 300 12 i i NN cord-269711-tw5armh8 300 13 ¼ ¼ NNP cord-269711-tw5armh8 300 14 1 1 CD cord-269711-tw5armh8 300 15 . . . cord-269711-tw5armh8 300 16 . . . cord-269711-tw5armh8 300 17 . . . cord-269711-tw5armh8 301 1 N. N. NNP cord-269711-tw5armh8 301 2 ( ( -LRB- cord-269711-tw5armh8 301 3 2 2 CD cord-269711-tw5armh8 301 4 ) ) -RRB- cord-269711-tw5armh8 302 1 For for IN cord-269711-tw5armh8 302 2 each each DT cord-269711-tw5armh8 302 3 node node NN cord-269711-tw5armh8 302 4 , , , cord-269711-tw5armh8 302 5 set set VB cord-269711-tw5armh8 302 6 a a DT cord-269711-tw5armh8 302 7 target target NN cord-269711-tw5armh8 302 8 degree degree NN cord-269711-tw5armh8 302 9 by by IN cord-269711-tw5armh8 302 10 randomly randomly RB cord-269711-tw5armh8 302 11 choosing choose VBG cord-269711-tw5armh8 302 12 a a DT cord-269711-tw5armh8 302 13 degree degree NN cord-269711-tw5armh8 302 14 with with IN cord-269711-tw5armh8 302 15 a a DT cord-269711-tw5armh8 302 16 probability probability NN cord-269711-tw5armh8 302 17 equal equal JJ cord-269711-tw5armh8 302 18 to to IN cord-269711-tw5armh8 302 19 that that DT cord-269711-tw5armh8 302 20 for for IN cord-269711-tw5armh8 302 21 the the DT cord-269711-tw5armh8 302 22 degree degree NN cord-269711-tw5armh8 302 23 distribution distribution NN cord-269711-tw5armh8 302 24 of of IN cord-269711-tw5armh8 302 25 the the DT cord-269711-tw5armh8 302 26 random random JJ cord-269711-tw5armh8 302 27 network network NN cord-269711-tw5armh8 302 28 . . . cord-269711-tw5armh8 303 1 ( ( -LRB- cord-269711-tw5armh8 303 2 3 3 LS cord-269711-tw5armh8 303 3 ) ) -RRB- cord-269711-tw5armh8 303 4 If if IN cord-269711-tw5armh8 303 5 the the DT cord-269711-tw5armh8 303 6 node node NN cord-269711-tw5armh8 303 7 has have VBZ cord-269711-tw5armh8 303 8 reached reach VBN cord-269711-tw5armh8 303 9 its -PRON- PRP$ cord-269711-tw5armh8 303 10 target target NN cord-269711-tw5armh8 303 11 degree degree NN cord-269711-tw5armh8 303 12 , , , cord-269711-tw5armh8 303 13 continue continue VB cord-269711-tw5armh8 303 14 with with IN cord-269711-tw5armh8 303 15 the the DT cord-269711-tw5armh8 303 16 next next JJ cord-269711-tw5armh8 303 17 node node NN cord-269711-tw5armh8 303 18 . . . cord-269711-tw5armh8 304 1 If if IN cord-269711-tw5armh8 304 2 not not RB cord-269711-tw5armh8 304 3 continue continue VBP cord-269711-tw5armh8 304 4 with with IN cord-269711-tw5armh8 304 5 step step NN cord-269711-tw5armh8 304 6 4 4 CD cord-269711-tw5armh8 304 7 . . . cord-269711-tw5armh8 305 1 ( ( -LRB- cord-269711-tw5armh8 305 2 4 4 LS cord-269711-tw5armh8 305 3 ) ) -RRB- cord-269711-tw5armh8 306 1 With with IN cord-269711-tw5armh8 306 2 a a DT cord-269711-tw5armh8 306 3 probability probability NN cord-269711-tw5armh8 306 4 of of IN cord-269711-tw5armh8 306 5 0.5 0.5 CD cord-269711-tw5armh8 306 6 , , , cord-269711-tw5armh8 306 7 create create VB cord-269711-tw5armh8 306 8 a a DT cord-269711-tw5armh8 306 9 link link NN cord-269711-tw5armh8 306 10 to to IN cord-269711-tw5armh8 306 11 a a DT cord-269711-tw5armh8 306 12 node node NN cord-269711-tw5armh8 306 13 with with IN cord-269711-tw5armh8 306 14 a a DT cord-269711-tw5armh8 306 15 smaller small JJR cord-269711-tw5armh8 306 16 index index NN cord-269711-tw5armh8 306 17 , , , cord-269711-tw5armh8 306 18 otherwise otherwise RB cord-269711-tw5armh8 306 19 create create VBP cord-269711-tw5armh8 306 20 a a DT cord-269711-tw5armh8 306 21 link link NN cord-269711-tw5armh8 306 22 to to IN cord-269711-tw5armh8 306 23 a a DT cord-269711-tw5armh8 306 24 node node NN cord-269711-tw5armh8 306 25 with with IN cord-269711-tw5armh8 306 26 a a DT cord-269711-tw5armh8 306 27 larger large JJR cord-269711-tw5armh8 306 28 index index NN cord-269711-tw5armh8 306 29 ( ( -LRB- cord-269711-tw5armh8 306 30 using use VBG cord-269711-tw5armh8 306 31 periodic periodic JJ cord-269711-tw5armh8 306 32 boundary boundary JJ cord-269711-tw5armh8 306 33 conditions condition NNS cord-269711-tw5armh8 306 34 ) ) -RRB- cord-269711-tw5armh8 306 35 . . . cord-269711-tw5armh8 307 1 ( ( -LRB- cord-269711-tw5armh8 307 2 5 5 LS cord-269711-tw5armh8 307 3 ) ) -RRB- cord-269711-tw5armh8 308 1 Starting start VBG cord-269711-tw5armh8 308 2 at at IN cord-269711-tw5armh8 308 3 the the DT cord-269711-tw5armh8 308 4 nearest near JJS cord-269711-tw5armh8 308 5 neighbor neighbor NN cord-269711-tw5armh8 308 6 by by IN cord-269711-tw5armh8 308 7 index index NN cord-269711-tw5armh8 308 8 and and CC cord-269711-tw5armh8 308 9 continuing continue VBG cord-269711-tw5armh8 308 10 by by IN cord-269711-tw5armh8 308 11 decreasing decrease VBG cord-269711-tw5armh8 308 12 ( ( -LRB- cord-269711-tw5armh8 308 13 smaller small JJR cord-269711-tw5armh8 308 14 indices index NNS cord-269711-tw5armh8 308 15 ) ) -RRB- cord-269711-tw5armh8 308 16 or or CC cord-269711-tw5armh8 308 17 increasing increase VBG cord-269711-tw5armh8 308 18 ( ( -LRB- cord-269711-tw5armh8 308 19 larger large JJR cord-269711-tw5armh8 308 20 indices index NNS cord-269711-tw5armh8 308 21 ) ) -RRB- cord-269711-tw5armh8 309 1 the the DT cord-269711-tw5armh8 309 2 index index NN cord-269711-tw5armh8 309 3 one one CD cord-269711-tw5armh8 309 4 by by IN cord-269711-tw5armh8 309 5 one one CD cord-269711-tw5armh8 309 6 while while IN cord-269711-tw5armh8 309 7 skipping skip VBG cord-269711-tw5armh8 309 8 nodes node NNS cord-269711-tw5armh8 309 9 already already RB cord-269711-tw5armh8 309 10 linked link VBN cord-269711-tw5armh8 309 11 to to IN cord-269711-tw5armh8 309 12 , , , cord-269711-tw5armh8 309 13 search search VB cord-269711-tw5armh8 309 14 for for IN cord-269711-tw5armh8 309 15 the the DT cord-269711-tw5armh8 309 16 nearest near JJS cord-269711-tw5armh8 309 17 node node NN cord-269711-tw5armh8 309 18 that that WDT cord-269711-tw5armh8 309 19 has have VBZ cord-269711-tw5armh8 309 20 not not RB cord-269711-tw5armh8 309 21 reached reach VBN cord-269711-tw5armh8 309 22 its -PRON- PRP$ cord-269711-tw5armh8 309 23 target target NN cord-269711-tw5armh8 309 24 degree degree NN cord-269711-tw5armh8 309 25 yet yet RB cord-269711-tw5armh8 309 26 and and CC cord-269711-tw5armh8 309 27 create create VB cord-269711-tw5armh8 309 28 a a DT cord-269711-tw5armh8 309 29 link link NN cord-269711-tw5armh8 309 30 with with IN cord-269711-tw5armh8 309 31 this this DT cord-269711-tw5armh8 309 32 node node NN cord-269711-tw5armh8 309 33 . . . cord-269711-tw5armh8 310 1 ( ( -LRB- cord-269711-tw5armh8 310 2 6 6 LS cord-269711-tw5armh8 310 3 ) ) -RRB- cord-269711-tw5armh8 310 4 Create create VB cord-269711-tw5armh8 310 5 the the DT cord-269711-tw5armh8 310 6 network network NN cord-269711-tw5armh8 310 7 by by IN cord-269711-tw5armh8 310 8 repeating repeat VBG cord-269711-tw5armh8 310 9 steps step NNS cord-269711-tw5armh8 310 10 3 3 CD cord-269711-tw5armh8 310 11 - - SYM cord-269711-tw5armh8 310 12 5 5 CD cord-269711-tw5armh8 310 13 for for IN cord-269711-tw5armh8 310 14 each each DT cord-269711-tw5armh8 310 15 node node NN cord-269711-tw5armh8 310 16 . . . cord-269711-tw5armh8 311 1 For for IN cord-269711-tw5armh8 311 2 all all PDT cord-269711-tw5armh8 311 3 the the DT cord-269711-tw5armh8 311 4 strategies strategy NNS cord-269711-tw5armh8 311 5 , , , cord-269711-tw5armh8 311 6 vaccination vaccination NN cord-269711-tw5armh8 311 7 is be VBZ cord-269711-tw5armh8 311 8 voluntary voluntary JJ cord-269711-tw5armh8 311 9 and and CC cord-269711-tw5armh8 311 10 quantity quantity NN cord-269711-tw5armh8 311 11 limited limit VBN cord-269711-tw5armh8 311 12 . . . cord-269711-tw5armh8 312 1 That that DT cord-269711-tw5armh8 312 2 is be VBZ cord-269711-tw5armh8 312 3 to to TO cord-269711-tw5armh8 312 4 say say VB cord-269711-tw5armh8 312 5 only only RB cord-269711-tw5armh8 312 6 susceptibles susceptible NNS cord-269711-tw5armh8 312 7 who who WP cord-269711-tw5armh8 312 8 do do VBP cord-269711-tw5armh8 312 9 not not RB cord-269711-tw5armh8 312 10 refuse refuse VB cord-269711-tw5armh8 312 11 vaccination vaccination NN cord-269711-tw5armh8 312 12 are be VBP cord-269711-tw5armh8 312 13 vaccinated vaccinate VBN cord-269711-tw5armh8 312 14 and and CC cord-269711-tw5armh8 312 15 each each DT cord-269711-tw5armh8 312 16 day day NN cord-269711-tw5armh8 312 17 only only RB cord-269711-tw5armh8 312 18 a a DT cord-269711-tw5armh8 312 19 certain certain JJ cord-269711-tw5armh8 312 20 number number NN cord-269711-tw5armh8 312 21 of of IN cord-269711-tw5armh8 312 22 doses dose NNS cord-269711-tw5armh8 312 23 is be VBZ cord-269711-tw5armh8 312 24 available available JJ cord-269711-tw5armh8 312 25 . . . cord-269711-tw5armh8 313 1 For for IN cord-269711-tw5armh8 313 2 each each DT cord-269711-tw5armh8 313 3 strategy strategy NN cord-269711-tw5armh8 313 4 for for IN cord-269711-tw5armh8 313 5 each each DT cord-269711-tw5armh8 313 6 time time NN cord-269711-tw5armh8 313 7 unit unit NN cord-269711-tw5armh8 313 8 , , , cord-269711-tw5armh8 313 9 first first RB cord-269711-tw5armh8 313 10 a a DT cord-269711-tw5armh8 313 11 group group NN cord-269711-tw5armh8 313 12 of of IN cord-269711-tw5armh8 313 13 eligible eligible JJ cord-269711-tw5armh8 313 14 nodes node NNS cord-269711-tw5armh8 313 15 is be VBZ cord-269711-tw5armh8 313 16 identified identify VBN cord-269711-tw5armh8 313 17 and and CC cord-269711-tw5armh8 313 18 then then RB cord-269711-tw5armh8 313 19 up up IN cord-269711-tw5armh8 313 20 to to IN cord-269711-tw5armh8 313 21 the the DT cord-269711-tw5armh8 313 22 maximum maximum JJ cord-269711-tw5armh8 313 23 number number NN cord-269711-tw5armh8 313 24 of of IN cord-269711-tw5armh8 313 25 doses dose NNS cord-269711-tw5armh8 313 26 is be VBZ cord-269711-tw5armh8 313 27 dispensed dispense VBN cord-269711-tw5armh8 313 28 among among IN cord-269711-tw5armh8 313 29 the the DT cord-269711-tw5armh8 313 30 eligible eligible JJ cord-269711-tw5armh8 313 31 nodes node NNS cord-269711-tw5armh8 313 32 according accord VBG cord-269711-tw5armh8 313 33 to to IN cord-269711-tw5armh8 313 34 the the DT cord-269711-tw5armh8 313 35 strategy strategy NN cord-269711-tw5armh8 313 36 chosen choose VBN cord-269711-tw5armh8 313 37 . . . cord-269711-tw5armh8 314 1 In in IN cord-269711-tw5armh8 314 2 this this DT cord-269711-tw5armh8 314 3 strategy strategy NN cord-269711-tw5armh8 314 4 , , , cord-269711-tw5armh8 314 5 nodes node NNS cord-269711-tw5armh8 314 6 with with IN cord-269711-tw5armh8 314 7 the the DT cord-269711-tw5armh8 314 8 highest high JJS cord-269711-tw5armh8 314 9 degrees degree NNS cord-269711-tw5armh8 314 10 are be VBP cord-269711-tw5armh8 314 11 vaccinated vaccinate VBN cord-269711-tw5armh8 314 12 first first RB cord-269711-tw5armh8 314 13 . . . cord-269711-tw5armh8 315 1 The the DT cord-269711-tw5armh8 315 2 motivation motivation NN cord-269711-tw5armh8 315 3 for for IN cord-269711-tw5armh8 315 4 this this DT cord-269711-tw5armh8 315 5 strategy strategy NN cord-269711-tw5armh8 315 6 is be VBZ cord-269711-tw5armh8 315 7 that that IN cord-269711-tw5armh8 315 8 high high JJ cord-269711-tw5armh8 315 9 degree degree NN cord-269711-tw5armh8 315 10 nodes node NNS cord-269711-tw5armh8 315 11 on on IN cord-269711-tw5armh8 315 12 average average JJ cord-269711-tw5armh8 315 13 can can MD cord-269711-tw5armh8 315 14 be be VB cord-269711-tw5armh8 315 15 assumed assume VBN cord-269711-tw5armh8 315 16 to to TO cord-269711-tw5armh8 315 17 transmit transmit VB cord-269711-tw5armh8 315 18 a a DT cord-269711-tw5armh8 315 19 disease disease NN cord-269711-tw5armh8 315 20 more more RBR cord-269711-tw5armh8 315 21 often often RB cord-269711-tw5armh8 315 22 than than IN cord-269711-tw5armh8 315 23 low low JJ cord-269711-tw5armh8 315 24 degree degree NN cord-269711-tw5armh8 315 25 nodes node NNS cord-269711-tw5armh8 315 26 . . . cord-269711-tw5armh8 316 1 Numerically numerically RB cord-269711-tw5armh8 316 2 , , , cord-269711-tw5armh8 316 3 the the DT cord-269711-tw5armh8 316 4 prioritized prioritize VBN cord-269711-tw5armh8 316 5 vaccination vaccination NN cord-269711-tw5armh8 316 6 strategy strategy NN cord-269711-tw5armh8 316 7 is be VBZ cord-269711-tw5armh8 316 8 implemented implement VBN cord-269711-tw5armh8 316 9 as as IN cord-269711-tw5armh8 316 10 follows follow VBZ cord-269711-tw5armh8 316 11 : : : cord-269711-tw5armh8 316 12 ( ( -LRB- cord-269711-tw5armh8 316 13 1 1 LS cord-269711-tw5armh8 316 14 ) ) -RRB- cord-269711-tw5armh8 316 15 For for IN cord-269711-tw5armh8 316 16 each each DT cord-269711-tw5armh8 316 17 time time NN cord-269711-tw5armh8 316 18 unit unit NN cord-269711-tw5armh8 316 19 , , , cord-269711-tw5armh8 316 20 start start VB cord-269711-tw5armh8 316 21 at at IN cord-269711-tw5armh8 316 22 the the DT cord-269711-tw5armh8 316 23 highest high JJS cord-269711-tw5armh8 316 24 degree degree NN cord-269711-tw5armh8 316 25 ( ( -LRB- cord-269711-tw5armh8 316 26 i.e. i.e. FW cord-269711-tw5armh8 316 27 consider consider VBP cord-269711-tw5armh8 316 28 nodes node NNS cord-269711-tw5armh8 316 29 with with IN cord-269711-tw5armh8 316 30 degree degree NN cord-269711-tw5armh8 316 31 d¼M d¼m NN cord-269711-tw5armh8 316 32 ) ) -RRB- cord-269711-tw5armh8 316 33 and and CC cord-269711-tw5armh8 316 34 repeat repeat VB cord-269711-tw5armh8 316 35 the the DT cord-269711-tw5armh8 316 36 steps step NNS cord-269711-tw5armh8 316 37 below below RB cord-269711-tw5armh8 316 38 until until IN cord-269711-tw5armh8 316 39 either either CC cord-269711-tw5armh8 316 40 the the DT cord-269711-tw5armh8 316 41 number number NN cord-269711-tw5armh8 316 42 of of IN cord-269711-tw5armh8 316 43 doses dose NNS cord-269711-tw5armh8 316 44 per per IN cord-269711-tw5armh8 316 45 time time NN cord-269711-tw5armh8 316 46 step step NN cord-269711-tw5armh8 316 47 or or CC cord-269711-tw5armh8 316 48 the the DT cord-269711-tw5armh8 316 49 total total JJ cord-269711-tw5armh8 316 50 number number NN cord-269711-tw5armh8 316 51 of of IN cord-269711-tw5armh8 316 52 available available JJ cord-269711-tw5armh8 316 53 doses dose NNS cord-269711-tw5armh8 316 54 is be VBZ cord-269711-tw5armh8 316 55 reached reach VBN cord-269711-tw5armh8 316 56 . . . cord-269711-tw5armh8 317 1 ( ( -LRB- cord-269711-tw5armh8 317 2 2 2 LS cord-269711-tw5armh8 317 3 ) ) -RRB- cord-269711-tw5armh8 317 4 Count count VB cord-269711-tw5armh8 317 5 the the DT cord-269711-tw5armh8 317 6 number number NN cord-269711-tw5armh8 317 7 of of IN cord-269711-tw5armh8 317 8 susceptible susceptible JJ cord-269711-tw5armh8 317 9 nodes node NNS cord-269711-tw5armh8 317 10 for for IN cord-269711-tw5armh8 317 11 degree degree NN cord-269711-tw5armh8 317 12 d. d. NNP cord-269711-tw5armh8 317 13 ( ( -LRB- cord-269711-tw5armh8 317 14 3 3 CD cord-269711-tw5armh8 317 15 ) ) -RRB- cord-269711-tw5armh8 318 1 If if IN cord-269711-tw5armh8 318 2 the the DT cord-269711-tw5armh8 318 3 number number NN cord-269711-tw5armh8 318 4 of of IN cord-269711-tw5armh8 318 5 susceptible susceptible JJ cord-269711-tw5armh8 318 6 nodes node NNS cord-269711-tw5armh8 318 7 with with IN cord-269711-tw5armh8 318 8 degree degree NN cord-269711-tw5armh8 318 9 d d NN cord-269711-tw5armh8 318 10 is be VBZ cord-269711-tw5armh8 318 11 zero zero CD cord-269711-tw5armh8 318 12 , , , cord-269711-tw5armh8 318 13 set set VBN cord-269711-tw5armh8 318 14 d d NN cord-269711-tw5armh8 318 15 ¼ ¼ FW cord-269711-tw5armh8 318 16 dÀ1 dà1 NN cord-269711-tw5armh8 318 17 and and CC cord-269711-tw5armh8 318 18 return return VB cord-269711-tw5armh8 318 19 to to IN cord-269711-tw5armh8 318 20 step step NN cord-269711-tw5armh8 318 21 2 2 CD cord-269711-tw5armh8 318 22 . . . cord-269711-tw5armh8 319 1 ( ( -LRB- cord-269711-tw5armh8 319 2 4 4 LS cord-269711-tw5armh8 319 3 ) ) -RRB- cord-269711-tw5armh8 319 4 If if IN cord-269711-tw5armh8 319 5 the the DT cord-269711-tw5armh8 319 6 number number NN cord-269711-tw5armh8 319 7 of of IN cord-269711-tw5armh8 319 8 susceptible susceptible JJ cord-269711-tw5armh8 319 9 nodes node NNS cord-269711-tw5armh8 319 10 with with IN cord-269711-tw5armh8 319 11 degree degree NN cord-269711-tw5armh8 319 12 d d NN cord-269711-tw5armh8 319 13 is be VBZ cord-269711-tw5armh8 319 14 smaller small JJR cord-269711-tw5armh8 319 15 than than IN cord-269711-tw5armh8 319 16 or or CC cord-269711-tw5armh8 319 17 equal equal JJ cord-269711-tw5armh8 319 18 to to IN cord-269711-tw5armh8 319 19 the the DT cord-269711-tw5armh8 319 20 number number NN cord-269711-tw5armh8 319 21 of of IN cord-269711-tw5armh8 319 22 available available JJ cord-269711-tw5armh8 319 23 doses dose NNS cord-269711-tw5armh8 319 24 , , , cord-269711-tw5armh8 319 25 vaccinate vaccinate VB cord-269711-tw5armh8 319 26 all all PDT cord-269711-tw5armh8 319 27 the the DT cord-269711-tw5armh8 319 28 nodes node NNS cord-269711-tw5armh8 319 29 , , , cord-269711-tw5armh8 319 30 then then RB cord-269711-tw5armh8 319 31 set set VB cord-269711-tw5armh8 319 32 d d NNP cord-269711-tw5armh8 319 33 ¼ ¼ FW cord-269711-tw5armh8 319 34 dÀ1 dà1 NN cord-269711-tw5armh8 319 35 and and CC cord-269711-tw5armh8 319 36 continue continue VB cord-269711-tw5armh8 319 37 with with IN cord-269711-tw5armh8 319 38 step step NN cord-269711-tw5armh8 319 39 2 2 CD cord-269711-tw5armh8 319 40 . . . cord-269711-tw5armh8 320 1 Otherwise otherwise RB cord-269711-tw5armh8 320 2 continue continue VB cord-269711-tw5armh8 320 3 with with IN cord-269711-tw5armh8 320 4 step step NN cord-269711-tw5armh8 320 5 5 5 CD cord-269711-tw5armh8 320 6 . . . cord-269711-tw5armh8 321 1 ( ( -LRB- cord-269711-tw5armh8 321 2 5 5 LS cord-269711-tw5armh8 321 3 ) ) -RRB- cord-269711-tw5armh8 322 1 If if IN cord-269711-tw5armh8 322 2 the the DT cord-269711-tw5armh8 322 3 number number NN cord-269711-tw5armh8 322 4 of of IN cord-269711-tw5armh8 322 5 susceptible susceptible JJ cord-269711-tw5armh8 322 6 nodes node NNS cord-269711-tw5armh8 322 7 with with IN cord-269711-tw5armh8 322 8 degree degree NN cord-269711-tw5armh8 322 9 d d NN cord-269711-tw5armh8 322 10 is be VBZ cord-269711-tw5armh8 322 11 greater great JJR cord-269711-tw5armh8 322 12 than than IN cord-269711-tw5armh8 322 13 the the DT cord-269711-tw5armh8 322 14 number number NN cord-269711-tw5armh8 322 15 of of IN cord-269711-tw5armh8 322 16 currently currently RB cord-269711-tw5armh8 322 17 available available JJ cord-269711-tw5armh8 322 18 doses dose NNS cord-269711-tw5armh8 322 19 , , , cord-269711-tw5armh8 322 20 randomly randomly RB cord-269711-tw5armh8 322 21 choose choose VBP cord-269711-tw5armh8 322 22 nodes node NNS cord-269711-tw5armh8 322 23 with with IN cord-269711-tw5armh8 322 24 degree degree NN cord-269711-tw5armh8 322 25 d d NN cord-269711-tw5armh8 322 26 to to TO cord-269711-tw5armh8 322 27 vaccinate vaccinate VB cord-269711-tw5armh8 322 28 until until IN cord-269711-tw5armh8 322 29 the the DT cord-269711-tw5armh8 322 30 available available JJ cord-269711-tw5armh8 322 31 number number NN cord-269711-tw5armh8 322 32 of of IN cord-269711-tw5armh8 322 33 doses dose NNS cord-269711-tw5armh8 322 34 is be VBZ cord-269711-tw5armh8 322 35 used use VBN cord-269711-tw5armh8 322 36 up up RP cord-269711-tw5armh8 322 37 . . . cord-269711-tw5armh8 323 1 ( ( -LRB- cord-269711-tw5armh8 323 2 6 6 LS cord-269711-tw5armh8 323 3 ) ) -RRB- cord-269711-tw5armh8 323 4 When when WRB cord-269711-tw5armh8 323 5 all all PDT cord-269711-tw5armh8 323 6 the the DT cord-269711-tw5armh8 323 7 doses dose NNS cord-269711-tw5armh8 323 8 are be VBP cord-269711-tw5armh8 323 9 used use VBN cord-269711-tw5armh8 323 10 up up RP cord-269711-tw5armh8 323 11 , , , cord-269711-tw5armh8 323 12 end end VB cord-269711-tw5armh8 323 13 the the DT cord-269711-tw5armh8 323 14 vaccination vaccination NN cord-269711-tw5armh8 323 15 for for IN cord-269711-tw5armh8 323 16 the the DT cord-269711-tw5armh8 323 17 current current JJ cord-269711-tw5armh8 323 18 time time NN cord-269711-tw5armh8 323 19 unit unit NN cord-269711-tw5armh8 323 20 and and CC cord-269711-tw5armh8 323 21 continue continue VB cord-269711-tw5armh8 323 22 when when WRB cord-269711-tw5armh8 323 23 the the DT cord-269711-tw5armh8 323 24 next next JJ cord-269711-tw5armh8 323 25 time time NN cord-269711-tw5armh8 323 26 unit unit NN cord-269711-tw5armh8 323 27 arrives arrive VBZ cord-269711-tw5armh8 323 28 . . . cord-269711-tw5armh8 324 1 In in IN cord-269711-tw5armh8 324 2 practice practice NN cord-269711-tw5armh8 324 3 prioritizing prioritize VBG cord-269711-tw5armh8 324 4 on on IN cord-269711-tw5armh8 324 5 the the DT cord-269711-tw5armh8 324 6 basis basis NN cord-269711-tw5armh8 324 7 of of IN cord-269711-tw5armh8 324 8 certain certain JJ cord-269711-tw5armh8 324 9 target target NN cord-269711-tw5armh8 324 10 groups group NNS cord-269711-tw5armh8 324 11 such such JJ cord-269711-tw5armh8 324 12 as as IN cord-269711-tw5armh8 324 13 health health NN cord-269711-tw5armh8 324 14 care care NN cord-269711-tw5armh8 324 15 workers worker NNS cord-269711-tw5armh8 324 16 or or CC cord-269711-tw5armh8 324 17 people people NNS cord-269711-tw5armh8 324 18 at at IN cord-269711-tw5armh8 324 19 high high JJ cord-269711-tw5armh8 324 20 risk risk NN cord-269711-tw5armh8 324 21 of of IN cord-269711-tw5armh8 324 22 complications complication NNS cord-269711-tw5armh8 324 23 can can MD cord-269711-tw5armh8 324 24 be be VB cord-269711-tw5armh8 324 25 difficult difficult JJ cord-269711-tw5armh8 324 26 . . . cord-269711-tw5armh8 325 1 Prioritizing prioritize VBG cord-269711-tw5armh8 325 2 on on IN cord-269711-tw5armh8 325 3 the the DT cord-269711-tw5armh8 325 4 basis basis NN cord-269711-tw5armh8 325 5 of of IN cord-269711-tw5armh8 325 6 the the DT cord-269711-tw5armh8 325 7 number number NN cord-269711-tw5armh8 325 8 of of IN cord-269711-tw5armh8 325 9 links link NNS cord-269711-tw5armh8 325 10 is be VBZ cord-269711-tw5armh8 325 11 even even RB cord-269711-tw5armh8 325 12 more more RBR cord-269711-tw5armh8 325 13 difficult difficult JJ cord-269711-tw5armh8 325 14 . . . cord-269711-tw5armh8 326 1 How how WRB cord-269711-tw5armh8 326 2 would would MD cord-269711-tw5armh8 326 3 such such JJ cord-269711-tw5armh8 326 4 individuals individual NNS cord-269711-tw5armh8 326 5 be be VB cord-269711-tw5armh8 326 6 identified identify VBN cord-269711-tw5armh8 326 7 ? ? . cord-269711-tw5armh8 327 1 One one CD cord-269711-tw5armh8 327 2 of of IN cord-269711-tw5armh8 327 3 the the DT cord-269711-tw5armh8 327 4 easiest easy JJS cord-269711-tw5armh8 327 5 vaccination vaccination NN cord-269711-tw5armh8 327 6 strategies strategy NNS cord-269711-tw5armh8 327 7 to to TO cord-269711-tw5armh8 327 8 implement implement VB cord-269711-tw5armh8 327 9 is be VBZ cord-269711-tw5armh8 327 10 random random JJ cord-269711-tw5armh8 327 11 vaccination vaccination NN cord-269711-tw5armh8 327 12 . . . cord-269711-tw5armh8 328 1 Numerically numerically RB cord-269711-tw5armh8 328 2 , , , cord-269711-tw5armh8 328 3 the the DT cord-269711-tw5armh8 328 4 random random JJ cord-269711-tw5armh8 328 5 vaccination vaccination NN cord-269711-tw5armh8 328 6 strategy strategy NN cord-269711-tw5armh8 328 7 is be VBZ cord-269711-tw5armh8 328 8 implemented implement VBN cord-269711-tw5armh8 328 9 as as IN cord-269711-tw5armh8 328 10 follows follow VBZ cord-269711-tw5armh8 328 11 : : : cord-269711-tw5armh8 328 12 ( ( -LRB- cord-269711-tw5armh8 328 13 1 1 LS cord-269711-tw5armh8 328 14 ) ) -RRB- cord-269711-tw5armh8 328 15 For for IN cord-269711-tw5armh8 328 16 each each DT cord-269711-tw5armh8 328 17 time time NN cord-269711-tw5armh8 328 18 unit unit NN cord-269711-tw5armh8 328 19 , , , cord-269711-tw5armh8 328 20 count count VB cord-269711-tw5armh8 328 21 the the DT cord-269711-tw5armh8 328 22 total total JJ cord-269711-tw5armh8 328 23 number number NN cord-269711-tw5armh8 328 24 of of IN cord-269711-tw5armh8 328 25 susceptible susceptible JJ cord-269711-tw5armh8 328 26 nodes node NNS cord-269711-tw5armh8 328 27 . . . cord-269711-tw5armh8 329 1 ( ( -LRB- cord-269711-tw5armh8 329 2 2 2 LS cord-269711-tw5armh8 329 3 ) ) -RRB- cord-269711-tw5armh8 329 4 If if IN cord-269711-tw5armh8 329 5 the the DT cord-269711-tw5armh8 329 6 total total JJ cord-269711-tw5armh8 329 7 number number NN cord-269711-tw5armh8 329 8 of of IN cord-269711-tw5armh8 329 9 susceptible susceptible JJ cord-269711-tw5armh8 329 10 nodes node NNS cord-269711-tw5armh8 329 11 is be VBZ cord-269711-tw5armh8 329 12 smaller small JJR cord-269711-tw5armh8 329 13 than than IN cord-269711-tw5armh8 329 14 or or CC cord-269711-tw5armh8 329 15 equal equal JJ cord-269711-tw5armh8 329 16 to to IN cord-269711-tw5armh8 329 17 the the DT cord-269711-tw5armh8 329 18 number number NN cord-269711-tw5armh8 329 19 of of IN cord-269711-tw5armh8 329 20 doses dose NNS cord-269711-tw5armh8 329 21 per per IN cord-269711-tw5armh8 329 22 unit unit NN cord-269711-tw5armh8 329 23 time time NN cord-269711-tw5armh8 329 24 , , , cord-269711-tw5armh8 329 25 vaccinate vaccinate VB cord-269711-tw5armh8 329 26 all all PDT cord-269711-tw5armh8 329 27 the the DT cord-269711-tw5armh8 329 28 susceptible susceptible JJ cord-269711-tw5armh8 329 29 nodes node NNS cord-269711-tw5armh8 329 30 . . . cord-269711-tw5armh8 330 1 Otherwise otherwise RB cord-269711-tw5armh8 330 2 do do VB cord-269711-tw5armh8 330 3 step step VB cord-269711-tw5armh8 330 4 3 3 CD cord-269711-tw5armh8 330 5 . . . cord-269711-tw5armh8 331 1 ( ( -LRB- cord-269711-tw5armh8 331 2 3 3 LS cord-269711-tw5armh8 331 3 ) ) -RRB- cord-269711-tw5armh8 332 1 If if IN cord-269711-tw5armh8 332 2 the the DT cord-269711-tw5armh8 332 3 total total JJ cord-269711-tw5armh8 332 4 number number NN cord-269711-tw5armh8 332 5 of of IN cord-269711-tw5armh8 332 6 susceptible susceptible JJ cord-269711-tw5armh8 332 7 nodes node NNS cord-269711-tw5armh8 332 8 is be VBZ cord-269711-tw5armh8 332 9 larger large JJR cord-269711-tw5armh8 332 10 than than IN cord-269711-tw5armh8 332 11 the the DT cord-269711-tw5armh8 332 12 number number NN cord-269711-tw5armh8 332 13 of of IN cord-269711-tw5armh8 332 14 doses dose NNS cord-269711-tw5armh8 332 15 per per IN cord-269711-tw5armh8 332 16 unit unit NN cord-269711-tw5armh8 332 17 time time NN cord-269711-tw5armh8 332 18 , , , cord-269711-tw5armh8 332 19 randomly randomly RB cord-269711-tw5armh8 332 20 vaccinate vaccinate VBP cord-269711-tw5armh8 332 21 susceptible susceptible JJ cord-269711-tw5armh8 332 22 nodes node NNS cord-269711-tw5armh8 332 23 until until IN cord-269711-tw5armh8 332 24 all all PDT cord-269711-tw5armh8 332 25 the the DT cord-269711-tw5armh8 332 26 available available JJ cord-269711-tw5armh8 332 27 doses dose NNS cord-269711-tw5armh8 332 28 are be VBP cord-269711-tw5armh8 332 29 used use VBN cord-269711-tw5armh8 332 30 up up RP cord-269711-tw5armh8 332 31 . . . cord-269711-tw5armh8 333 1 One one CD cord-269711-tw5armh8 333 2 way way NN cord-269711-tw5armh8 333 3 to to TO cord-269711-tw5armh8 333 4 reduce reduce VB cord-269711-tw5armh8 333 5 the the DT cord-269711-tw5armh8 333 6 spread spread NN cord-269711-tw5armh8 333 7 of of IN cord-269711-tw5armh8 333 8 a a DT cord-269711-tw5armh8 333 9 disease disease NN cord-269711-tw5armh8 333 10 is be VBZ cord-269711-tw5armh8 333 11 by by IN cord-269711-tw5armh8 333 12 splitting split VBG cord-269711-tw5armh8 333 13 the the DT cord-269711-tw5armh8 333 14 population population NN cord-269711-tw5armh8 333 15 into into IN cord-269711-tw5armh8 333 16 many many JJ cord-269711-tw5armh8 333 17 isolated isolate VBN cord-269711-tw5armh8 333 18 groups group NNS cord-269711-tw5armh8 333 19 . . . cord-269711-tw5armh8 334 1 This this DT cord-269711-tw5armh8 334 2 could could MD cord-269711-tw5armh8 334 3 be be VB cord-269711-tw5armh8 334 4 done do VBN cord-269711-tw5armh8 334 5 by by IN cord-269711-tw5armh8 334 6 vaccinating vaccinate VBG cord-269711-tw5armh8 334 7 nodes node NNS cord-269711-tw5armh8 334 8 with with IN cord-269711-tw5armh8 334 9 links link NNS cord-269711-tw5armh8 334 10 to to IN cord-269711-tw5armh8 334 11 different different JJ cord-269711-tw5armh8 334 12 groups group NNS cord-269711-tw5armh8 334 13 . . . cord-269711-tw5armh8 335 1 However however RB cord-269711-tw5armh8 335 2 given give VBN cord-269711-tw5armh8 335 3 the the DT cord-269711-tw5armh8 335 4 network network NN cord-269711-tw5armh8 335 5 types type NNS cord-269711-tw5armh8 335 6 studied study VBN cord-269711-tw5armh8 335 7 here here RB cord-269711-tw5armh8 335 8 , , , cord-269711-tw5armh8 335 9 breaking break VBG cord-269711-tw5armh8 335 10 links link NNS cord-269711-tw5armh8 335 11 between between IN cord-269711-tw5armh8 335 12 groups group NNS cord-269711-tw5armh8 335 13 is be VBZ cord-269711-tw5armh8 335 14 not not RB cord-269711-tw5armh8 335 15 really really RB cord-269711-tw5armh8 335 16 feasible feasible JJ cord-269711-tw5armh8 335 17 since since IN cord-269711-tw5armh8 335 18 besides besides IN cord-269711-tw5armh8 335 19 the the DT cord-269711-tw5armh8 335 20 random random JJ cord-269711-tw5armh8 335 21 cluster cluster NN cord-269711-tw5armh8 335 22 network network NN cord-269711-tw5armh8 335 23 , , , cord-269711-tw5armh8 335 24 there there EX cord-269711-tw5armh8 335 25 is be VBZ cord-269711-tw5armh8 335 26 no no DT cord-269711-tw5armh8 335 27 clear clear JJ cord-269711-tw5armh8 335 28 group group NN cord-269711-tw5armh8 335 29 structure structure NN cord-269711-tw5armh8 335 30 in in IN cord-269711-tw5armh8 335 31 the the DT cord-269711-tw5armh8 335 32 other other JJ cord-269711-tw5armh8 335 33 networks network NNS cord-269711-tw5armh8 335 34 . . . cord-269711-tw5armh8 336 1 Another another DT cord-269711-tw5armh8 336 2 approach approach NN cord-269711-tw5armh8 336 3 is be VBZ cord-269711-tw5armh8 336 4 the the DT cord-269711-tw5armh8 336 5 follow follow JJ cord-269711-tw5armh8 336 6 links link NNS cord-269711-tw5armh8 336 7 strategy strategy NN cord-269711-tw5armh8 336 8 , , , cord-269711-tw5armh8 336 9 inspired inspire VBN cord-269711-tw5armh8 336 10 by by IN cord-269711-tw5armh8 336 11 notions notion NNS cord-269711-tw5armh8 336 12 from from IN cord-269711-tw5armh8 336 13 social social JJ cord-269711-tw5armh8 336 14 networks network NNS cord-269711-tw5armh8 336 15 , , , cord-269711-tw5armh8 336 16 where where WRB cord-269711-tw5armh8 336 17 an an DT cord-269711-tw5armh8 336 18 attempt attempt NN cord-269711-tw5armh8 336 19 is be VBZ cord-269711-tw5armh8 336 20 made make VBN cord-269711-tw5armh8 336 21 to to TO cord-269711-tw5armh8 336 22 split split VB cord-269711-tw5armh8 336 23 the the DT cord-269711-tw5armh8 336 24 population population NN cord-269711-tw5armh8 336 25 by by IN cord-269711-tw5armh8 336 26 vaccinating vaccinate VBG cord-269711-tw5armh8 336 27 the the DT cord-269711-tw5armh8 336 28 neighbors neighbor NNS cord-269711-tw5armh8 336 29 and and CC cord-269711-tw5armh8 336 30 the the DT cord-269711-tw5armh8 336 31 neighbor neighbor NN cord-269711-tw5armh8 336 32 's 's POS cord-269711-tw5armh8 336 33 neighbors neighbor NNS cord-269711-tw5armh8 336 34 and and CC cord-269711-tw5armh8 336 35 so so RB cord-269711-tw5armh8 336 36 on on RB cord-269711-tw5armh8 336 37 of of IN cord-269711-tw5armh8 336 38 a a DT cord-269711-tw5armh8 336 39 randomly randomly RB cord-269711-tw5armh8 336 40 chosen choose VBN cord-269711-tw5armh8 336 41 susceptible susceptible JJ cord-269711-tw5armh8 336 42 node node NN cord-269711-tw5armh8 336 43 . . . cord-269711-tw5armh8 337 1 Numerically numerically RB cord-269711-tw5armh8 337 2 , , , cord-269711-tw5armh8 337 3 the the DT cord-269711-tw5armh8 337 4 follow follow NN cord-269711-tw5armh8 337 5 links link NNS cord-269711-tw5armh8 337 6 strategy strategy NN cord-269711-tw5armh8 337 7 is be VBZ cord-269711-tw5armh8 337 8 implemented implement VBN cord-269711-tw5armh8 337 9 as as IN cord-269711-tw5armh8 337 10 follows follow VBZ cord-269711-tw5armh8 338 1 : : : cord-269711-tw5armh8 338 2 ( ( -LRB- cord-269711-tw5armh8 338 3 1 1 LS cord-269711-tw5armh8 338 4 ) ) -RRB- cord-269711-tw5armh8 338 5 Count count VB cord-269711-tw5armh8 338 6 the the DT cord-269711-tw5armh8 338 7 total total JJ cord-269711-tw5armh8 338 8 number number NN cord-269711-tw5armh8 338 9 of of IN cord-269711-tw5armh8 338 10 susceptible susceptible JJ cord-269711-tw5armh8 338 11 nodes node NNS cord-269711-tw5armh8 338 12 . . . cord-269711-tw5armh8 339 1 ( ( -LRB- cord-269711-tw5armh8 339 2 2 2 LS cord-269711-tw5armh8 339 3 ) ) -RRB- cord-269711-tw5armh8 339 4 If if IN cord-269711-tw5armh8 339 5 the the DT cord-269711-tw5armh8 339 6 total total JJ cord-269711-tw5armh8 339 7 number number NN cord-269711-tw5armh8 339 8 of of IN cord-269711-tw5armh8 339 9 susceptible susceptible JJ cord-269711-tw5armh8 339 10 nodes node NNS cord-269711-tw5armh8 339 11 is be VBZ cord-269711-tw5armh8 339 12 smaller small JJR cord-269711-tw5armh8 339 13 than than IN cord-269711-tw5armh8 339 14 or or CC cord-269711-tw5armh8 339 15 equal equal JJ cord-269711-tw5armh8 339 16 to to IN cord-269711-tw5armh8 339 17 the the DT cord-269711-tw5armh8 339 18 number number NN cord-269711-tw5armh8 339 19 of of IN cord-269711-tw5armh8 339 20 doses dose NNS cord-269711-tw5armh8 339 21 per per IN cord-269711-tw5armh8 339 22 unit unit NN cord-269711-tw5armh8 339 23 time time NN cord-269711-tw5armh8 339 24 , , , cord-269711-tw5armh8 339 25 vaccinate vaccinate VB cord-269711-tw5armh8 339 26 all all PDT cord-269711-tw5armh8 339 27 the the DT cord-269711-tw5armh8 339 28 susceptible susceptible JJ cord-269711-tw5armh8 339 29 nodes node NNS cord-269711-tw5armh8 339 30 . . . cord-269711-tw5armh8 340 1 ( ( -LRB- cord-269711-tw5armh8 340 2 3 3 LS cord-269711-tw5armh8 340 3 ) ) -RRB- cord-269711-tw5armh8 341 1 If if IN cord-269711-tw5armh8 341 2 the the DT cord-269711-tw5armh8 341 3 total total JJ cord-269711-tw5armh8 341 4 number number NN cord-269711-tw5armh8 341 5 of of IN cord-269711-tw5armh8 341 6 susceptible susceptible JJ cord-269711-tw5armh8 341 7 nodes node NNS cord-269711-tw5armh8 341 8 is be VBZ cord-269711-tw5armh8 341 9 greater great JJR cord-269711-tw5armh8 341 10 than than IN cord-269711-tw5armh8 341 11 the the DT cord-269711-tw5armh8 341 12 number number NN cord-269711-tw5armh8 341 13 of of IN cord-269711-tw5armh8 341 14 available available JJ cord-269711-tw5armh8 341 15 doses dose NNS cord-269711-tw5armh8 341 16 per per IN cord-269711-tw5armh8 341 17 unit unit NN cord-269711-tw5armh8 341 18 time time NN cord-269711-tw5armh8 341 19 , , , cord-269711-tw5armh8 341 20 first first RB cord-269711-tw5armh8 341 21 randomly randomly RB cord-269711-tw5armh8 341 22 choose choose VB cord-269711-tw5armh8 341 23 a a DT cord-269711-tw5armh8 341 24 susceptible susceptible JJ cord-269711-tw5armh8 341 25 node node NN cord-269711-tw5armh8 341 26 , , , cord-269711-tw5armh8 341 27 label label VB cord-269711-tw5armh8 341 28 it -PRON- PRP cord-269711-tw5armh8 341 29 as as IN cord-269711-tw5armh8 341 30 the the DT cord-269711-tw5armh8 341 31 current current JJ cord-269711-tw5armh8 341 32 node node NN cord-269711-tw5armh8 341 33 , , , cord-269711-tw5armh8 341 34 and and CC cord-269711-tw5armh8 341 35 vaccinate vaccinate VB cord-269711-tw5armh8 341 36 it -PRON- PRP cord-269711-tw5armh8 341 37 . . . cord-269711-tw5armh8 342 1 ( ( -LRB- cord-269711-tw5armh8 342 2 4 4 LS cord-269711-tw5armh8 342 3 ) ) -RRB- cord-269711-tw5armh8 342 4 Vaccinate vaccinate VB cord-269711-tw5armh8 342 5 all all PDT cord-269711-tw5armh8 342 6 the the DT cord-269711-tw5armh8 342 7 susceptible susceptible JJ cord-269711-tw5armh8 342 8 neighbors neighbor NNS cord-269711-tw5armh8 342 9 of of IN cord-269711-tw5armh8 342 10 the the DT cord-269711-tw5armh8 342 11 current current JJ cord-269711-tw5armh8 342 12 node node NN cord-269711-tw5armh8 342 13 . . . cord-269711-tw5armh8 343 1 ( ( -LRB- cord-269711-tw5armh8 343 2 5 5 LS cord-269711-tw5armh8 343 3 ) ) -RRB- cord-269711-tw5armh8 343 4 Randomly randomly RB cord-269711-tw5armh8 343 5 choose choose VB cord-269711-tw5armh8 343 6 one one CD cord-269711-tw5armh8 343 7 of of IN cord-269711-tw5armh8 343 8 the the DT cord-269711-tw5armh8 343 9 neighbors neighbor NNS cord-269711-tw5armh8 343 10 of of IN cord-269711-tw5armh8 343 11 the the DT cord-269711-tw5armh8 343 12 current current JJ cord-269711-tw5armh8 343 13 node node NN cord-269711-tw5armh8 343 14 . . . cord-269711-tw5armh8 344 1 ( ( -LRB- cord-269711-tw5armh8 344 2 6 6 LS cord-269711-tw5armh8 344 3 ) ) -RRB- cord-269711-tw5armh8 344 4 Set set VB cord-269711-tw5armh8 344 5 the the DT cord-269711-tw5armh8 344 6 current current JJ cord-269711-tw5armh8 344 7 node node NN cord-269711-tw5armh8 344 8 to to IN cord-269711-tw5armh8 344 9 the the DT cord-269711-tw5armh8 344 10 node node NN cord-269711-tw5armh8 344 11 chosen choose VBN cord-269711-tw5armh8 344 12 in in IN cord-269711-tw5armh8 344 13 step step NN cord-269711-tw5armh8 344 14 5 5 CD cord-269711-tw5armh8 344 15 . . . cord-269711-tw5armh8 345 1 ( ( -LRB- cord-269711-tw5armh8 345 2 7 7 LS cord-269711-tw5armh8 345 3 ) ) -RRB- cord-269711-tw5armh8 345 4 Continue continue VB cord-269711-tw5armh8 345 5 with with IN cord-269711-tw5armh8 345 6 steps step NNS cord-269711-tw5armh8 345 7 4 4 CD cord-269711-tw5armh8 345 8 - - SYM cord-269711-tw5armh8 345 9 6 6 CD cord-269711-tw5armh8 345 10 until until IN cord-269711-tw5armh8 345 11 all all PDT cord-269711-tw5armh8 345 12 the the DT cord-269711-tw5armh8 345 13 doses dose NNS cord-269711-tw5armh8 345 14 are be VBP cord-269711-tw5armh8 345 15 used use VBN cord-269711-tw5armh8 345 16 up up RP cord-269711-tw5armh8 345 17 or or CC cord-269711-tw5armh8 345 18 no no DT cord-269711-tw5armh8 345 19 available available JJ cord-269711-tw5armh8 345 20 susceptible susceptible JJ cord-269711-tw5armh8 345 21 neighbor neighbor NN cord-269711-tw5armh8 345 22 can can MD cord-269711-tw5armh8 345 23 be be VB cord-269711-tw5armh8 345 24 found find VBN cord-269711-tw5armh8 345 25 . . . cord-269711-tw5armh8 346 1 ( ( -LRB- cord-269711-tw5armh8 346 2 8) 8) LS cord-269711-tw5armh8 346 3 If if IN cord-269711-tw5armh8 346 4 no no DT cord-269711-tw5armh8 346 5 available available JJ cord-269711-tw5armh8 346 6 susceptible susceptible JJ cord-269711-tw5armh8 346 7 neighbor neighbor NN cord-269711-tw5armh8 346 8 can can MD cord-269711-tw5armh8 346 9 be be VB cord-269711-tw5armh8 346 10 found find VBN cord-269711-tw5armh8 346 11 in in IN cord-269711-tw5armh8 346 12 step step NN cord-269711-tw5armh8 346 13 7 7 CD cord-269711-tw5armh8 346 14 , , , cord-269711-tw5armh8 346 15 randomly randomly RB cord-269711-tw5armh8 346 16 choose choose VB cord-269711-tw5armh8 346 17 a a DT cord-269711-tw5armh8 346 18 susceptible susceptible JJ cord-269711-tw5armh8 346 19 node node NN cord-269711-tw5armh8 346 20 from from IN cord-269711-tw5armh8 346 21 the the DT cord-269711-tw5armh8 346 22 population population NN cord-269711-tw5armh8 346 23 and and CC cord-269711-tw5armh8 346 24 continue continue VB cord-269711-tw5armh8 346 25 with with IN cord-269711-tw5armh8 346 26 step step NN cord-269711-tw5armh8 346 27 4 4 CD cord-269711-tw5armh8 346 28 . . . cord-269711-tw5armh8 347 1 Contact contact NN cord-269711-tw5armh8 347 2 tracing tracing NN cord-269711-tw5armh8 347 3 was be VBD cord-269711-tw5armh8 347 4 successfully successfully RB cord-269711-tw5armh8 347 5 used use VBN cord-269711-tw5armh8 347 6 in in IN cord-269711-tw5armh8 347 7 combating combat VBG cord-269711-tw5armh8 347 8 the the DT cord-269711-tw5armh8 347 9 SARS SARS NNP cord-269711-tw5armh8 347 10 virus virus NN cord-269711-tw5armh8 347 11 . . . cord-269711-tw5armh8 348 1 In in IN cord-269711-tw5armh8 348 2 that that DT cord-269711-tw5armh8 348 3 case case NN cord-269711-tw5armh8 348 4 , , , cord-269711-tw5armh8 348 5 everyone everyone NN cord-269711-tw5armh8 348 6 who who WP cord-269711-tw5armh8 348 7 had have VBD cord-269711-tw5armh8 348 8 been be VBN cord-269711-tw5armh8 348 9 in in IN cord-269711-tw5armh8 348 10 contact contact NN cord-269711-tw5armh8 348 11 with with IN cord-269711-tw5armh8 348 12 an an DT cord-269711-tw5armh8 348 13 infectious infectious JJ cord-269711-tw5armh8 348 14 individual individual NN cord-269711-tw5armh8 348 15 was be VBD cord-269711-tw5armh8 348 16 isolated isolate VBN cord-269711-tw5armh8 348 17 to to TO cord-269711-tw5armh8 348 18 prevent prevent VB cord-269711-tw5armh8 348 19 a a DT cord-269711-tw5armh8 348 20 further further JJ cord-269711-tw5armh8 348 21 spread spread NN cord-269711-tw5armh8 348 22 of of IN cord-269711-tw5armh8 348 23 the the DT cord-269711-tw5armh8 348 24 disease disease NN cord-269711-tw5armh8 348 25 . . . cord-269711-tw5armh8 349 1 De de FW cord-269711-tw5armh8 349 2 facto facto FW cord-269711-tw5armh8 349 3 , , , cord-269711-tw5armh8 349 4 this this DT cord-269711-tw5armh8 349 5 kind kind NN cord-269711-tw5armh8 349 6 of of IN cord-269711-tw5armh8 349 7 isolation isolation NN cord-269711-tw5armh8 349 8 boils boil VBZ cord-269711-tw5armh8 349 9 down down RP cord-269711-tw5armh8 349 10 to to IN cord-269711-tw5armh8 349 11 removing remove VBG cord-269711-tw5armh8 349 12 links link NNS cord-269711-tw5armh8 349 13 rendering render VBG cord-269711-tw5armh8 349 14 the the DT cord-269711-tw5armh8 349 15 infectious infectious JJ cord-269711-tw5armh8 349 16 node node NN cord-269711-tw5armh8 349 17 degree degree NN cord-269711-tw5armh8 349 18 0 0 CD cord-269711-tw5armh8 349 19 , , , cord-269711-tw5armh8 349 20 a a DT cord-269711-tw5armh8 349 21 scenario scenario NN cord-269711-tw5armh8 349 22 not not RB cord-269711-tw5armh8 349 23 considered consider VBN cord-269711-tw5armh8 349 24 here here RB cord-269711-tw5armh8 349 25 . . . cord-269711-tw5armh8 350 1 Here here RB cord-269711-tw5armh8 350 2 contact contact NN cord-269711-tw5armh8 350 3 tracing tracing NN cord-269711-tw5armh8 350 4 tries try NNS cord-269711-tw5armh8 350 5 to to TO cord-269711-tw5armh8 350 6 isolate isolate VB cord-269711-tw5armh8 350 7 an an DT cord-269711-tw5armh8 350 8 infectious infectious JJ cord-269711-tw5armh8 350 9 node node NN cord-269711-tw5armh8 350 10 by by IN cord-269711-tw5armh8 350 11 vaccinating vaccinate VBG cord-269711-tw5armh8 350 12 all all PDT cord-269711-tw5armh8 350 13 its -PRON- PRP$ cord-269711-tw5armh8 350 14 susceptible susceptible JJ cord-269711-tw5armh8 350 15 neighbors neighbor NNS cord-269711-tw5armh8 350 16 . . . cord-269711-tw5armh8 351 1 Numerically numerically RB cord-269711-tw5armh8 351 2 , , , cord-269711-tw5armh8 351 3 the the DT cord-269711-tw5armh8 351 4 contact contact NN cord-269711-tw5armh8 351 5 tracing trace VBG cord-269711-tw5armh8 351 6 strategy strategy NN cord-269711-tw5armh8 351 7 is be VBZ cord-269711-tw5armh8 351 8 implemented implement VBN cord-269711-tw5armh8 351 9 as as IN cord-269711-tw5armh8 351 10 follows follow VBZ cord-269711-tw5armh8 352 1 : : : cord-269711-tw5armh8 352 2 ( ( -LRB- cord-269711-tw5armh8 352 3 1 1 LS cord-269711-tw5armh8 352 4 ) ) -RRB- cord-269711-tw5armh8 352 5 Count count VB cord-269711-tw5armh8 352 6 the the DT cord-269711-tw5armh8 352 7 total total JJ cord-269711-tw5armh8 352 8 number number NN cord-269711-tw5armh8 352 9 of of IN cord-269711-tw5armh8 352 10 susceptible susceptible JJ cord-269711-tw5armh8 352 11 nodes node NNS cord-269711-tw5armh8 352 12 . . . cord-269711-tw5armh8 353 1 ( ( -LRB- cord-269711-tw5armh8 353 2 2 2 LS cord-269711-tw5armh8 353 3 ) ) -RRB- cord-269711-tw5armh8 353 4 If if IN cord-269711-tw5armh8 353 5 the the DT cord-269711-tw5armh8 353 6 total total JJ cord-269711-tw5armh8 353 7 number number NN cord-269711-tw5armh8 353 8 of of IN cord-269711-tw5armh8 353 9 susceptible susceptible JJ cord-269711-tw5armh8 353 10 nodes node NNS cord-269711-tw5armh8 353 11 is be VBZ cord-269711-tw5armh8 353 12 smaller small JJR cord-269711-tw5armh8 353 13 than than IN cord-269711-tw5armh8 353 14 or or CC cord-269711-tw5armh8 353 15 equal equal JJ cord-269711-tw5armh8 353 16 to to IN cord-269711-tw5armh8 353 17 the the DT cord-269711-tw5armh8 353 18 number number NN cord-269711-tw5armh8 353 19 of of IN cord-269711-tw5armh8 353 20 doses dose NNS cord-269711-tw5armh8 353 21 per per IN cord-269711-tw5armh8 353 22 unit unit NN cord-269711-tw5armh8 353 23 time time NN cord-269711-tw5armh8 353 24 , , , cord-269711-tw5armh8 353 25 vaccinate vaccinate VB cord-269711-tw5armh8 353 26 all all PDT cord-269711-tw5armh8 353 27 the the DT cord-269711-tw5armh8 353 28 susceptible susceptible JJ cord-269711-tw5armh8 353 29 nodes node NNS cord-269711-tw5armh8 353 30 . . . cord-269711-tw5armh8 354 1 ( ( -LRB- cord-269711-tw5armh8 354 2 3 3 LS cord-269711-tw5armh8 354 3 ) ) -RRB- cord-269711-tw5armh8 354 4 Count count VB cord-269711-tw5armh8 354 5 only only RB cord-269711-tw5armh8 354 6 those those DT cord-269711-tw5armh8 354 7 susceptible susceptible JJ cord-269711-tw5armh8 354 8 nodes node NNS cord-269711-tw5armh8 354 9 that that WDT cord-269711-tw5armh8 354 10 have have VBP cord-269711-tw5armh8 354 11 an an DT cord-269711-tw5armh8 354 12 infectious infectious JJ cord-269711-tw5armh8 354 13 neighbor neighbor NN cord-269711-tw5armh8 354 14 . . . cord-269711-tw5armh8 355 1 ( ( -LRB- cord-269711-tw5armh8 355 2 4 4 LS cord-269711-tw5armh8 355 3 ) ) -RRB- cord-269711-tw5armh8 355 4 If if IN cord-269711-tw5armh8 355 5 the the DT cord-269711-tw5armh8 355 6 number number NN cord-269711-tw5armh8 355 7 of of IN cord-269711-tw5armh8 355 8 susceptible susceptible JJ cord-269711-tw5armh8 355 9 nodes node NNS cord-269711-tw5armh8 355 10 neighboring neighbor VBG cord-269711-tw5armh8 355 11 an an DT cord-269711-tw5armh8 355 12 infectious infectious JJ cord-269711-tw5armh8 355 13 node node NN cord-269711-tw5armh8 355 14 is be VBZ cord-269711-tw5armh8 355 15 smaller small JJR cord-269711-tw5armh8 355 16 than than IN cord-269711-tw5armh8 355 17 or or CC cord-269711-tw5armh8 355 18 equal equal JJ cord-269711-tw5armh8 355 19 to to IN cord-269711-tw5armh8 355 20 the the DT cord-269711-tw5armh8 355 21 number number NN cord-269711-tw5armh8 355 22 of of IN cord-269711-tw5armh8 355 23 doses dose NNS cord-269711-tw5armh8 355 24 per per IN cord-269711-tw5armh8 355 25 unit unit NN cord-269711-tw5armh8 355 26 time time NN cord-269711-tw5armh8 355 27 , , , cord-269711-tw5armh8 355 28 vaccinate vaccinate VB cord-269711-tw5armh8 355 29 all all PDT cord-269711-tw5armh8 355 30 these these DT cord-269711-tw5armh8 355 31 nodes node NNS cord-269711-tw5armh8 355 32 . . . cord-269711-tw5armh8 356 1 ( ( -LRB- cord-269711-tw5armh8 356 2 5 5 LS cord-269711-tw5armh8 356 3 ) ) -RRB- cord-269711-tw5armh8 357 1 If if IN cord-269711-tw5armh8 357 2 the the DT cord-269711-tw5armh8 357 3 number number NN cord-269711-tw5armh8 357 4 of of IN cord-269711-tw5armh8 357 5 susceptible susceptible JJ cord-269711-tw5armh8 357 6 nodes node NNS cord-269711-tw5armh8 357 7 neighboring neighbor VBG cord-269711-tw5armh8 357 8 an an DT cord-269711-tw5armh8 357 9 infectious infectious JJ cord-269711-tw5armh8 357 10 node node NN cord-269711-tw5armh8 357 11 is be VBZ cord-269711-tw5armh8 357 12 greater great JJR cord-269711-tw5armh8 357 13 than than IN cord-269711-tw5armh8 357 14 the the DT cord-269711-tw5armh8 357 15 number number NN cord-269711-tw5armh8 357 16 of of IN cord-269711-tw5armh8 357 17 available available JJ cord-269711-tw5armh8 357 18 doses dose NNS cord-269711-tw5armh8 357 19 repeat repeat VBP cord-269711-tw5armh8 357 20 step step NN cord-269711-tw5armh8 357 21 6 6 CD cord-269711-tw5armh8 357 22 until until IN cord-269711-tw5armh8 357 23 all all PDT cord-269711-tw5armh8 357 24 the the DT cord-269711-tw5armh8 357 25 doses dose NNS cord-269711-tw5armh8 357 26 are be VBP cord-269711-tw5armh8 357 27 used use VBN cord-269711-tw5armh8 357 28 up up RP cord-269711-tw5armh8 357 29 . . . cord-269711-tw5armh8 358 1 ( ( -LRB- cord-269711-tw5armh8 358 2 6 6 LS cord-269711-tw5armh8 358 3 ) ) -RRB- cord-269711-tw5armh8 358 4 Randomly randomly RB cord-269711-tw5armh8 358 5 choose choose VB cord-269711-tw5armh8 358 6 an an DT cord-269711-tw5armh8 358 7 infectious infectious JJ cord-269711-tw5armh8 358 8 node node NN cord-269711-tw5armh8 358 9 that that WDT cord-269711-tw5armh8 358 10 has have VBZ cord-269711-tw5armh8 358 11 susceptible susceptible JJ cord-269711-tw5armh8 358 12 neighbors neighbor NNS cord-269711-tw5armh8 358 13 and and CC cord-269711-tw5armh8 358 14 vaccinate vaccinate VB cord-269711-tw5armh8 358 15 its -PRON- PRP$ cord-269711-tw5armh8 358 16 neighbors neighbor NNS cord-269711-tw5armh8 358 17 until until IN cord-269711-tw5armh8 358 18 all all PDT cord-269711-tw5armh8 358 19 the the DT cord-269711-tw5armh8 358 20 doses dose NNS cord-269711-tw5armh8 358 21 are be VBP cord-269711-tw5armh8 358 22 used use VBN cord-269711-tw5armh8 358 23 up up RP cord-269711-tw5armh8 358 24 . . . cord-269711-tw5armh8 359 1 Statistical statistical JJ cord-269711-tw5armh8 359 2 mechanics mechanic NNS cord-269711-tw5armh8 359 3 of of IN cord-269711-tw5armh8 359 4 complex complex JJ cord-269711-tw5armh8 359 5 networks network NNS cord-269711-tw5armh8 359 6 Infectious infectious JJ cord-269711-tw5armh8 359 7 Diseases disease NNS cord-269711-tw5armh8 359 8 of of IN cord-269711-tw5armh8 359 9 Humans human NNS cord-269711-tw5armh8 360 1 A a DT cord-269711-tw5armh8 360 2 comparative comparative JJ cord-269711-tw5armh8 360 3 analysis analysis NN cord-269711-tw5armh8 360 4 of of IN cord-269711-tw5armh8 360 5 influenza influenza NN cord-269711-tw5armh8 360 6 vaccination vaccination NN cord-269711-tw5armh8 360 7 programs program NNS cord-269711-tw5armh8 361 1 When when WRB cord-269711-tw5armh8 361 2 individual individual JJ cord-269711-tw5armh8 361 3 behaviour behaviour NN cord-269711-tw5armh8 361 4 matters matter VBZ cord-269711-tw5armh8 361 5 : : : cord-269711-tw5armh8 361 6 homogeneous homogeneous JJ cord-269711-tw5armh8 361 7 and and CC cord-269711-tw5armh8 361 8 network network NN cord-269711-tw5armh8 361 9 models model NNS cord-269711-tw5armh8 361 10 in in IN cord-269711-tw5armh8 361 11 epidemiology epidemiology NN cord-269711-tw5armh8 361 12 Compartmental Compartmental NNP cord-269711-tw5armh8 361 13 models model NNS cord-269711-tw5armh8 361 14 in in IN cord-269711-tw5armh8 361 15 epidemiology epidemiology NN cord-269711-tw5armh8 362 1 Comparative comparative JJ cord-269711-tw5armh8 362 2 estimation estimation NN cord-269711-tw5armh8 362 3 of of IN cord-269711-tw5armh8 362 4 the the DT cord-269711-tw5armh8 362 5 reproduction reproduction NN cord-269711-tw5armh8 362 6 number number NN cord-269711-tw5armh8 362 7 for for IN cord-269711-tw5armh8 362 8 pandemic pandemic NN cord-269711-tw5armh8 362 9 influenza influenza NN cord-269711-tw5armh8 362 10 from from IN cord-269711-tw5armh8 362 11 daily daily JJ cord-269711-tw5armh8 362 12 case case NN cord-269711-tw5armh8 362 13 notification notification NN cord-269711-tw5armh8 362 14 data datum NNS cord-269711-tw5armh8 362 15 Trial Trial NNP cord-269711-tw5armh8 362 16 of of IN cord-269711-tw5armh8 362 17 2009 2009 CD cord-269711-tw5armh8 362 18 influenza influenza NN cord-269711-tw5armh8 362 19 A a NN cord-269711-tw5armh8 362 20 ( ( -LRB- cord-269711-tw5armh8 362 21 H1N1 H1N1 NNP cord-269711-tw5armh8 362 22 ) ) -RRB- cord-269711-tw5armh8 362 23 monovalent monovalent JJ cord-269711-tw5armh8 362 24 MF59-adjuvanted MF59-adjuvanted NNP cord-269711-tw5armh8 362 25 vaccine vaccine NN cord-269711-tw5armh8 362 26 Efficient efficient JJ cord-269711-tw5armh8 362 27 immunization immunization NN cord-269711-tw5armh8 362 28 strategies strategy NNS cord-269711-tw5armh8 362 29 for for IN cord-269711-tw5armh8 362 30 computer computer NN cord-269711-tw5armh8 362 31 networks network NNS cord-269711-tw5armh8 362 32 and and CC cord-269711-tw5armh8 362 33 populations population NNS cord-269711-tw5armh8 362 34 Vaccination vaccination NN cord-269711-tw5armh8 362 35 against against IN cord-269711-tw5armh8 362 36 2009 2009 CD cord-269711-tw5armh8 362 37 pandemic pandemic NN cord-269711-tw5armh8 362 38 H1N1 H1N1 NNP cord-269711-tw5armh8 362 39 in in IN cord-269711-tw5armh8 362 40 a a DT cord-269711-tw5armh8 362 41 population population NN cord-269711-tw5armh8 362 42 dynamical dynamical JJ cord-269711-tw5armh8 362 43 model model NN cord-269711-tw5armh8 362 44 of of IN cord-269711-tw5armh8 362 45 Vancouver Vancouver NNP cord-269711-tw5armh8 362 46 , , , cord-269711-tw5armh8 362 47 Canada Canada NNP cord-269711-tw5armh8 363 1 : : : cord-269711-tw5armh8 363 2 timing timing NN cord-269711-tw5armh8 363 3 is be VBZ cord-269711-tw5armh8 363 4 everything everything NN cord-269711-tw5armh8 363 5 Early early JJ cord-269711-tw5armh8 363 6 real real JJ cord-269711-tw5armh8 363 7 - - HYPH cord-269711-tw5armh8 363 8 time time NN cord-269711-tw5armh8 363 9 estimation estimation NN cord-269711-tw5armh8 363 10 of of IN cord-269711-tw5armh8 363 11 the the DT cord-269711-tw5armh8 363 12 basic basic JJ cord-269711-tw5armh8 363 13 reproduction reproduction NN cord-269711-tw5armh8 363 14 number number NN cord-269711-tw5armh8 363 15 of of IN cord-269711-tw5armh8 363 16 emerging emerge VBG cord-269711-tw5armh8 363 17 infectious infectious JJ cord-269711-tw5armh8 363 18 diseases disease NNS cord-269711-tw5armh8 363 19 . . . cord-269711-tw5armh8 364 1 Phys Phys NNP cord-269711-tw5armh8 364 2 . . . cord-269711-tw5armh8 365 1 Rev. Rev. NNP cord-269711-tw5armh8 365 2 X X NNP cord-269711-tw5armh8 365 3 2 2 CD cord-269711-tw5armh8 365 4 , , , cord-269711-tw5armh8 365 5 031005 031005 CD cord-269711-tw5armh8 365 6 . . . cord-269711-tw5armh8 366 1 Erd Erd NNP cord-269711-tw5armh8 366 2 + + CC cord-269711-tw5armh8 366 3 os os NNP cord-269711-tw5armh8 366 4 Modeling Modeling NNP cord-269711-tw5armh8 366 5 Infectious Infectious NNP cord-269711-tw5armh8 366 6 Diseases Diseases NNPS cord-269711-tw5armh8 366 7 in in IN cord-269711-tw5armh8 366 8 Humans Humans NNPS cord-269711-tw5armh8 366 9 and and CC cord-269711-tw5armh8 366 10 Animals Animals NNPS cord-269711-tw5armh8 366 11 Infectious infectious JJ cord-269711-tw5armh8 366 12 disease disease NN cord-269711-tw5armh8 366 13 control control NN cord-269711-tw5armh8 366 14 using use VBG cord-269711-tw5armh8 366 15 contact contact NN cord-269711-tw5armh8 366 16 tracing trace VBG cord-269711-tw5armh8 366 17 in in IN cord-269711-tw5armh8 366 18 random random JJ cord-269711-tw5armh8 366 19 and and CC cord-269711-tw5armh8 366 20 scale scale NN cord-269711-tw5armh8 366 21 - - HYPH cord-269711-tw5armh8 366 22 free free JJ cord-269711-tw5armh8 366 23 networks network NNS cord-269711-tw5armh8 367 1 The the DT cord-269711-tw5armh8 367 2 effect effect NN cord-269711-tw5armh8 367 3 of of IN cord-269711-tw5armh8 367 4 network network NN cord-269711-tw5armh8 367 5 mixing mix VBG cord-269711-tw5armh8 367 6 patterns pattern NNS cord-269711-tw5armh8 367 7 on on IN cord-269711-tw5armh8 367 8 epidemic epidemic NN cord-269711-tw5armh8 367 9 dynamics dynamic NNS cord-269711-tw5armh8 367 10 and and CC cord-269711-tw5armh8 367 11 the the DT cord-269711-tw5armh8 367 12 efficacy efficacy NN cord-269711-tw5armh8 367 13 of of IN cord-269711-tw5armh8 367 14 disease disease NN cord-269711-tw5armh8 367 15 contact contact NN cord-269711-tw5armh8 367 16 tracing trace VBG cord-269711-tw5armh8 367 17 Effective Effective NNP cord-269711-tw5armh8 367 18 degree degree NN cord-269711-tw5armh8 367 19 network network NN cord-269711-tw5armh8 367 20 disease disease NN cord-269711-tw5armh8 367 21 models model NNS cord-269711-tw5armh8 367 22 Transmission transmission NN cord-269711-tw5armh8 367 23 dynamics dynamic NNS cord-269711-tw5armh8 367 24 and and CC cord-269711-tw5armh8 367 25 control control NN cord-269711-tw5armh8 367 26 of of IN cord-269711-tw5armh8 367 27 severe severe JJ cord-269711-tw5armh8 367 28 acute acute JJ cord-269711-tw5armh8 367 29 respiratory respiratory JJ cord-269711-tw5armh8 367 30 syndrome syndrome NN cord-269711-tw5armh8 367 31 Generality generality NN cord-269711-tw5armh8 367 32 of of IN cord-269711-tw5armh8 367 33 the the DT cord-269711-tw5armh8 367 34 final final JJ cord-269711-tw5armh8 367 35 size size NN cord-269711-tw5armh8 367 36 formula formula NN cord-269711-tw5armh8 367 37 for for IN cord-269711-tw5armh8 367 38 an an DT cord-269711-tw5armh8 367 39 epidemic epidemic NN cord-269711-tw5armh8 367 40 of of IN cord-269711-tw5armh8 367 41 a a DT cord-269711-tw5armh8 367 42 newly newly RB cord-269711-tw5armh8 367 43 invading invade VBG cord-269711-tw5armh8 367 44 infectious infectious JJ cord-269711-tw5armh8 367 45 disease disease NN cord-269711-tw5armh8 367 46 Effective Effective NNP cord-269711-tw5armh8 367 47 degree degree NN cord-269711-tw5armh8 367 48 household household NN cord-269711-tw5armh8 367 49 network network NN cord-269711-tw5armh8 367 50 disease disease NN cord-269711-tw5armh8 367 51 models model NNS cord-269711-tw5armh8 367 52 Immunization Immunization NNP cord-269711-tw5armh8 367 53 and and CC cord-269711-tw5armh8 367 54 epidemic epidemic NN cord-269711-tw5armh8 367 55 dynamics dynamic NNS cord-269711-tw5armh8 367 56 in in IN cord-269711-tw5armh8 367 57 complex complex JJ cord-269711-tw5armh8 367 58 networks network NNS cord-269711-tw5armh8 367 59 Network Network NNP cord-269711-tw5armh8 367 60 theory theory NN cord-269711-tw5armh8 367 61 and and CC cord-269711-tw5armh8 367 62 SARS SARS NNP cord-269711-tw5armh8 367 63 : : : cord-269711-tw5armh8 367 64 predicting predict VBG cord-269711-tw5armh8 367 65 outbreak outbreak NN cord-269711-tw5armh8 367 66 diversity diversity NN cord-269711-tw5armh8 368 1 A a DT cord-269711-tw5armh8 368 2 note note NN cord-269711-tw5armh8 368 3 on on IN cord-269711-tw5armh8 368 4 a a DT cord-269711-tw5armh8 368 5 paper paper NN cord-269711-tw5armh8 368 6 by by IN cord-269711-tw5armh8 368 7 Erik Erik NNP cord-269711-tw5armh8 368 8 Volz Volz NNP cord-269711-tw5armh8 368 9 : : : cord-269711-tw5armh8 369 1 SIR SIR NNP cord-269711-tw5armh8 369 2 dynamics dynamic NNS cord-269711-tw5armh8 369 3 in in IN cord-269711-tw5armh8 369 4 random random JJ cord-269711-tw5armh8 369 5 networks network NNS cord-269711-tw5armh8 370 1 Effective effective JJ cord-269711-tw5armh8 370 2 vaccination vaccination NN cord-269711-tw5armh8 370 3 strategies strategy NNS cord-269711-tw5armh8 370 4 for for IN cord-269711-tw5armh8 370 5 realistic realistic JJ cord-269711-tw5armh8 370 6 social social JJ cord-269711-tw5armh8 370 7 networks network NNS cord-269711-tw5armh8 370 8 Edge Edge NNP cord-269711-tw5armh8 370 9 based base VBN cord-269711-tw5armh8 370 10 compartmental compartmental JJ cord-269711-tw5armh8 370 11 modelling modelling NN cord-269711-tw5armh8 370 12 for for IN cord-269711-tw5armh8 370 13 infectious infectious JJ cord-269711-tw5armh8 370 14 disease disease NN cord-269711-tw5armh8 370 15 spread spread VBD cord-269711-tw5armh8 370 16 Epidemic epidemic NN cord-269711-tw5armh8 370 17 incidence incidence NN cord-269711-tw5armh8 370 18 in in IN cord-269711-tw5armh8 370 19 correlated correlate VBN cord-269711-tw5armh8 370 20 complex complex JJ cord-269711-tw5armh8 370 21 networks network NNS cord-269711-tw5armh8 370 22 Office Office NNP cord-269711-tw5armh8 370 23 of of IN cord-269711-tw5armh8 370 24 the the DT cord-269711-tw5armh8 370 25 Provincial Provincial NNP cord-269711-tw5armh8 370 26 Health Health NNP cord-269711-tw5armh8 370 27 Officer Officer NNP cord-269711-tw5armh8 370 28 , , , cord-269711-tw5armh8 370 29 2010 2010 CD cord-269711-tw5armh8 370 30 . . . cord-269711-tw5armh8 371 1 B.C.s B.C.s NNP cord-269711-tw5armh8 371 2 Response Response NNP cord-269711-tw5armh8 371 3 to to IN cord-269711-tw5armh8 371 4 the the DT cord-269711-tw5armh8 371 5 H1N1 H1N1 NNP cord-269711-tw5armh8 371 6 Pandemic Pandemic NNP cord-269711-tw5armh8 371 7 Initial Initial NNP cord-269711-tw5armh8 371 8 human human JJ cord-269711-tw5armh8 371 9 transmission transmission NN cord-269711-tw5armh8 371 10 dynamics dynamic NNS cord-269711-tw5armh8 371 11 of of IN cord-269711-tw5armh8 371 12 the the DT cord-269711-tw5armh8 371 13 pandemic pandemic NN cord-269711-tw5armh8 371 14 ( ( -LRB- cord-269711-tw5armh8 372 1 H1N1 H1N1 NNP cord-269711-tw5armh8 372 2 ) ) -RRB- cord-269711-tw5armh8 372 3 2009 2009 CD cord-269711-tw5armh8 372 4 virus virus NN cord-269711-tw5armh8 372 5 in in IN cord-269711-tw5armh8 372 6 North North NNP cord-269711-tw5armh8 372 7 America America NNP cord-269711-tw5armh8 372 8 Dynamics Dynamics NNPS cord-269711-tw5armh8 372 9 and and CC cord-269711-tw5armh8 372 10 control control NN cord-269711-tw5armh8 372 11 of of IN cord-269711-tw5armh8 372 12 diseases disease NNS cord-269711-tw5armh8 372 13 in in IN cord-269711-tw5armh8 372 14 networks network NNS cord-269711-tw5armh8 372 15 with with IN cord-269711-tw5armh8 372 16 community community NN cord-269711-tw5armh8 372 17 structure structure NN cord-269711-tw5armh8 373 1 A a DT cord-269711-tw5armh8 373 2 high high JJ cord-269711-tw5armh8 373 3 - - HYPH cord-269711-tw5armh8 373 4 resolution resolution NN cord-269711-tw5armh8 373 5 human human JJ cord-269711-tw5armh8 373 6 contact contact NN cord-269711-tw5armh8 373 7 network network NN cord-269711-tw5armh8 373 8 for for IN cord-269711-tw5armh8 373 9 infectious infectious JJ cord-269711-tw5armh8 373 10 disease disease NN cord-269711-tw5armh8 373 11 transmission transmission NN cord-269711-tw5armh8 373 12 Networks Networks NNPS cord-269711-tw5armh8 373 13 , , , cord-269711-tw5armh8 373 14 epidemics epidemic NNS cord-269711-tw5armh8 373 15 and and CC cord-269711-tw5armh8 373 16 vaccination vaccination NN cord-269711-tw5armh8 373 17 through through IN cord-269711-tw5armh8 373 18 contact contact NN cord-269711-tw5armh8 373 19 tracing trace VBG cord-269711-tw5armh8 373 20 Estimated estimate VBN cord-269711-tw5armh8 373 21 epidemiologic epidemiologic JJ cord-269711-tw5armh8 373 22 parameters parameter NNS cord-269711-tw5armh8 373 23 and and CC cord-269711-tw5armh8 373 24 morbidity morbidity NN cord-269711-tw5armh8 373 25 associated associate VBN cord-269711-tw5armh8 373 26 with with IN cord-269711-tw5armh8 373 27 pandemic pandemic NN cord-269711-tw5armh8 373 28 H1N1 H1N1 NNP cord-269711-tw5armh8 373 29 influenza influenza NN cord-269711-tw5armh8 373 30 SIR SIR NNP cord-269711-tw5armh8 373 31 dynamics dynamic NNS cord-269711-tw5armh8 373 32 in in IN cord-269711-tw5armh8 373 33 random random JJ cord-269711-tw5armh8 373 34 networks network NNS cord-269711-tw5armh8 373 35 with with IN cord-269711-tw5armh8 373 36 heterogeneous heterogeneous JJ cord-269711-tw5armh8 373 37 connectivity connectivity NN cord-269711-tw5armh8 373 38 Effects effect NNS cord-269711-tw5armh8 373 39 of of IN cord-269711-tw5armh8 373 40 heterogeneous heterogeneous JJ cord-269711-tw5armh8 373 41 and and CC cord-269711-tw5armh8 373 42 clustered clustered JJ cord-269711-tw5armh8 373 43 contact contact NN cord-269711-tw5armh8 373 44 patterns pattern NNS cord-269711-tw5armh8 373 45 on on IN cord-269711-tw5armh8 373 46 infectious infectious JJ cord-269711-tw5armh8 373 47 disease disease NN cord-269711-tw5armh8 373 48 dynamics dynamic NNS cord-269711-tw5armh8 374 1 Dynamical dynamical JJ cord-269711-tw5armh8 374 2 advantages advantage NNS cord-269711-tw5armh8 374 3 of of IN cord-269711-tw5armh8 374 4 scale scale NN cord-269711-tw5armh8 374 5 - - HYPH cord-269711-tw5armh8 374 6 free free JJ cord-269711-tw5armh8 374 7 networks network NNS