id sid tid token lemma pos cord-155475-is3su3ga 1 1 key key NN cord-155475-is3su3ga 1 2 : : : cord-155475-is3su3ga 2 1 cord-155475-is3su3ga cord-155475-is3su3ga NNP cord-155475-is3su3ga 2 2 authors author NNS cord-155475-is3su3ga 2 3 : : : cord-155475-is3su3ga 2 4 Kalogeratos Kalogeratos NNP cord-155475-is3su3ga 2 5 , , , cord-155475-is3su3ga 2 6 Argyris Argyris NNP cord-155475-is3su3ga 2 7 ; ; : cord-155475-is3su3ga 2 8 Mannelli Mannelli NNP cord-155475-is3su3ga 2 9 , , , cord-155475-is3su3ga 2 10 Stefano Stefano NNP cord-155475-is3su3ga 2 11 Sarao Sarao NNP cord-155475-is3su3ga 2 12 title title NN cord-155475-is3su3ga 2 13 : : : cord-155475-is3su3ga 2 14 Winning win VBG cord-155475-is3su3ga 2 15 the the DT cord-155475-is3su3ga 2 16 competition competition NN cord-155475-is3su3ga 2 17 : : : cord-155475-is3su3ga 2 18 enhancing enhance VBG cord-155475-is3su3ga 2 19 counter counter NN cord-155475-is3su3ga 2 20 - - NN cord-155475-is3su3ga 2 21 contagion contagion NN cord-155475-is3su3ga 2 22 in in IN cord-155475-is3su3ga 2 23 SIS SIS NNP cord-155475-is3su3ga 2 24 - - HYPH cord-155475-is3su3ga 2 25 like like JJ cord-155475-is3su3ga 2 26 epidemic epidemic NN cord-155475-is3su3ga 2 27 processes process NNS cord-155475-is3su3ga 2 28 date date NN cord-155475-is3su3ga 2 29 : : : cord-155475-is3su3ga 2 30 2020 2020 CD cord-155475-is3su3ga 2 31 - - HYPH cord-155475-is3su3ga 2 32 06 06 CD cord-155475-is3su3ga 2 33 - - HYPH cord-155475-is3su3ga 2 34 24 24 CD cord-155475-is3su3ga 2 35 journal journal NN cord-155475-is3su3ga 2 36 : : : cord-155475-is3su3ga 3 1 nan nan NNP cord-155475-is3su3ga 3 2 DOI DOI NNP cord-155475-is3su3ga 3 3 : : : cord-155475-is3su3ga 3 4 nan nan NNP cord-155475-is3su3ga 3 5 sha sha NNP cord-155475-is3su3ga 3 6 : : : cord-155475-is3su3ga 4 1 503bf089daa5a8174cf6bb5db6e5ba52da5c4824 503bf089daa5a8174cf6bb5db6e5ba52da5c4824 CD cord-155475-is3su3ga 4 2 doc_id doc_id CD cord-155475-is3su3ga 5 1 : : : cord-155475-is3su3ga 5 2 155475 155475 CD cord-155475-is3su3ga 5 3 cord_uid cord_uid NNS cord-155475-is3su3ga 5 4 : : : cord-155475-is3su3ga 6 1 is3su3ga is3su3ga NNP cord-155475-is3su3ga 7 1 In in IN cord-155475-is3su3ga 7 2 this this DT cord-155475-is3su3ga 7 3 paper paper NN cord-155475-is3su3ga 7 4 we -PRON- PRP cord-155475-is3su3ga 7 5 consider consider VBP cord-155475-is3su3ga 7 6 the the DT cord-155475-is3su3ga 7 7 epidemic epidemic NN cord-155475-is3su3ga 7 8 competition competition NN cord-155475-is3su3ga 7 9 between between IN cord-155475-is3su3ga 7 10 two two CD cord-155475-is3su3ga 7 11 generic generic JJ cord-155475-is3su3ga 7 12 diffusion diffusion NN cord-155475-is3su3ga 7 13 processes process NNS cord-155475-is3su3ga 7 14 , , , cord-155475-is3su3ga 7 15 where where WRB cord-155475-is3su3ga 7 16 each each DT cord-155475-is3su3ga 7 17 competing compete VBG cord-155475-is3su3ga 7 18 side side NN cord-155475-is3su3ga 7 19 is be VBZ cord-155475-is3su3ga 7 20 represented represent VBN cord-155475-is3su3ga 7 21 by by IN cord-155475-is3su3ga 7 22 a a DT cord-155475-is3su3ga 7 23 different different JJ cord-155475-is3su3ga 7 24 state state NN cord-155475-is3su3ga 7 25 of of IN cord-155475-is3su3ga 7 26 a a DT cord-155475-is3su3ga 7 27 stochastic stochastic JJ cord-155475-is3su3ga 7 28 process process NN cord-155475-is3su3ga 7 29 . . . cord-155475-is3su3ga 8 1 For for IN cord-155475-is3su3ga 8 2 this this DT cord-155475-is3su3ga 8 3 setting setting NN cord-155475-is3su3ga 8 4 , , , cord-155475-is3su3ga 8 5 we -PRON- PRP cord-155475-is3su3ga 8 6 present present VBP cord-155475-is3su3ga 8 7 the the DT cord-155475-is3su3ga 8 8 Generalized Generalized NNP cord-155475-is3su3ga 8 9 Largest large JJS cord-155475-is3su3ga 8 10 Reduction Reduction NNP cord-155475-is3su3ga 8 11 in in IN cord-155475-is3su3ga 8 12 Infectious infectious JJ cord-155475-is3su3ga 8 13 Edges Edges NNPS cord-155475-is3su3ga 8 14 ( ( -LRB- cord-155475-is3su3ga 8 15 gLRIE glrie UH cord-155475-is3su3ga 8 16 ) ) -RRB- cord-155475-is3su3ga 8 17 dynamic dynamic JJ cord-155475-is3su3ga 8 18 resource resource NN cord-155475-is3su3ga 8 19 allocation allocation NN cord-155475-is3su3ga 8 20 strategy strategy NN cord-155475-is3su3ga 8 21 to to TO cord-155475-is3su3ga 8 22 advantage advantage VB cord-155475-is3su3ga 8 23 the the DT cord-155475-is3su3ga 8 24 preferred preferred JJ cord-155475-is3su3ga 8 25 state state NN cord-155475-is3su3ga 8 26 against against IN cord-155475-is3su3ga 8 27 the the DT cord-155475-is3su3ga 8 28 other other JJ cord-155475-is3su3ga 8 29 . . . cord-155475-is3su3ga 9 1 Motivated motivate VBN cord-155475-is3su3ga 9 2 by by IN cord-155475-is3su3ga 9 3 social social JJ cord-155475-is3su3ga 9 4 epidemics epidemic NNS cord-155475-is3su3ga 9 5 , , , cord-155475-is3su3ga 9 6 we -PRON- PRP cord-155475-is3su3ga 9 7 apply apply VBP cord-155475-is3su3ga 9 8 this this DT cord-155475-is3su3ga 9 9 method method NN cord-155475-is3su3ga 9 10 to to IN cord-155475-is3su3ga 9 11 a a DT cord-155475-is3su3ga 9 12 generic generic JJ cord-155475-is3su3ga 9 13 continuous continuous JJ cord-155475-is3su3ga 9 14 - - HYPH cord-155475-is3su3ga 9 15 time time NN cord-155475-is3su3ga 9 16 SIS SIS NNP cord-155475-is3su3ga 9 17 - - HYPH cord-155475-is3su3ga 9 18 like like JJ cord-155475-is3su3ga 9 19 diffusion diffusion NN cord-155475-is3su3ga 9 20 model model NN cord-155475-is3su3ga 9 21 where where WRB cord-155475-is3su3ga 9 22 we -PRON- PRP cord-155475-is3su3ga 9 23 allow allow VBP cord-155475-is3su3ga 9 24 for for IN cord-155475-is3su3ga 9 25 : : : cord-155475-is3su3ga 9 26 i i LS cord-155475-is3su3ga 9 27 ) ) -RRB- cord-155475-is3su3ga 9 28 arbitrary arbitrary JJ cord-155475-is3su3ga 9 29 node node NN cord-155475-is3su3ga 9 30 transition transition NN cord-155475-is3su3ga 9 31 rate rate NN cord-155475-is3su3ga 9 32 functions function NNS cord-155475-is3su3ga 9 33 that that WDT cord-155475-is3su3ga 9 34 describe describe VBP cord-155475-is3su3ga 9 35 the the DT cord-155475-is3su3ga 9 36 dynamics dynamic NNS cord-155475-is3su3ga 9 37 of of IN cord-155475-is3su3ga 9 38 propagation propagation NN cord-155475-is3su3ga 9 39 depending depend VBG cord-155475-is3su3ga 9 40 on on IN cord-155475-is3su3ga 9 41 the the DT cord-155475-is3su3ga 9 42 network network NN cord-155475-is3su3ga 9 43 state state NN cord-155475-is3su3ga 9 44 , , , cord-155475-is3su3ga 9 45 and and CC cord-155475-is3su3ga 9 46 ii ii LS cord-155475-is3su3ga 9 47 ) ) -RRB- cord-155475-is3su3ga 9 48 competition competition NN cord-155475-is3su3ga 9 49 between between IN cord-155475-is3su3ga 9 50 the the DT cord-155475-is3su3ga 9 51 healthy healthy JJ cord-155475-is3su3ga 9 52 ( ( -LRB- cord-155475-is3su3ga 9 53 positive positive JJ cord-155475-is3su3ga 9 54 ) ) -RRB- cord-155475-is3su3ga 9 55 and and CC cord-155475-is3su3ga 9 56 infected infect VBN cord-155475-is3su3ga 9 57 ( ( -LRB- cord-155475-is3su3ga 9 58 negative negative JJ cord-155475-is3su3ga 9 59 ) ) -RRB- cord-155475-is3su3ga 9 60 states state NNS cord-155475-is3su3ga 9 61 , , , cord-155475-is3su3ga 9 62 which which WDT cord-155475-is3su3ga 9 63 are be VBP cord-155475-is3su3ga 9 64 both both DT cord-155475-is3su3ga 9 65 diffusive diffusive JJ cord-155475-is3su3ga 9 66 at at IN cord-155475-is3su3ga 9 67 the the DT cord-155475-is3su3ga 9 68 same same JJ cord-155475-is3su3ga 9 69 time time NN cord-155475-is3su3ga 9 70 , , , cord-155475-is3su3ga 9 71 yet yet CC cord-155475-is3su3ga 9 72 mutually mutually RB cord-155475-is3su3ga 9 73 exclusive exclusive JJ cord-155475-is3su3ga 9 74 on on IN cord-155475-is3su3ga 9 75 each each DT cord-155475-is3su3ga 9 76 node node NN cord-155475-is3su3ga 9 77 . . . cord-155475-is3su3ga 10 1 Finally finally RB cord-155475-is3su3ga 10 2 we -PRON- PRP cord-155475-is3su3ga 10 3 use use VBP cord-155475-is3su3ga 10 4 simulations simulation NNS cord-155475-is3su3ga 10 5 to to TO cord-155475-is3su3ga 10 6 compare compare VB cord-155475-is3su3ga 10 7 empirically empirically RB cord-155475-is3su3ga 10 8 the the DT cord-155475-is3su3ga 10 9 proposed propose VBN cord-155475-is3su3ga 10 10 gLRIE glrie NN cord-155475-is3su3ga 10 11 against against IN cord-155475-is3su3ga 10 12 competitive competitive JJ cord-155475-is3su3ga 10 13 approaches approach NNS cord-155475-is3su3ga 10 14 from from IN cord-155475-is3su3ga 10 15 literature literature NN cord-155475-is3su3ga 10 16 . . . cord-155475-is3su3ga 11 1 In in IN cord-155475-is3su3ga 11 2 recent recent JJ cord-155475-is3su3ga 11 3 years year NNS cord-155475-is3su3ga 11 4 , , , cord-155475-is3su3ga 11 5 the the DT cord-155475-is3su3ga 11 6 growing grow VBG cord-155475-is3su3ga 11 7 amount amount NN cord-155475-is3su3ga 11 8 of of IN cord-155475-is3su3ga 11 9 available available JJ cord-155475-is3su3ga 11 10 data datum NNS cord-155475-is3su3ga 11 11 on on IN cord-155475-is3su3ga 11 12 networks network NNS cord-155475-is3su3ga 11 13 led lead VBD cord-155475-is3su3ga 11 14 to to IN cord-155475-is3su3ga 11 15 a a DT cord-155475-is3su3ga 11 16 revolution revolution NN cord-155475-is3su3ga 11 17 in in IN cord-155475-is3su3ga 11 18 the the DT cord-155475-is3su3ga 11 19 application application NN cord-155475-is3su3ga 11 20 of of IN cord-155475-is3su3ga 11 21 diffusion diffusion NN cord-155475-is3su3ga 11 22 processes process NNS cord-155475-is3su3ga 11 23 . . . cord-155475-is3su3ga 12 1 The the DT cord-155475-is3su3ga 12 2 enrichment enrichment NN cord-155475-is3su3ga 12 3 of of IN cord-155475-is3su3ga 12 4 analysis analysis NN cord-155475-is3su3ga 12 5 by by IN cord-155475-is3su3ga 12 6 means mean NNS cord-155475-is3su3ga 12 7 of of IN cord-155475-is3su3ga 12 8 detailed detailed JJ cord-155475-is3su3ga 12 9 information information NN cord-155475-is3su3ga 12 10 regarding regard VBG cord-155475-is3su3ga 12 11 specific specific JJ cord-155475-is3su3ga 12 12 populations population NNS cord-155475-is3su3ga 12 13 yielded yield VBD cord-155475-is3su3ga 12 14 to to IN cord-155475-is3su3ga 12 15 a a DT cord-155475-is3su3ga 12 16 plethora plethora NN cord-155475-is3su3ga 12 17 of of IN cord-155475-is3su3ga 12 18 realistic realistic JJ cord-155475-is3su3ga 12 19 and and CC cord-155475-is3su3ga 12 20 accurate accurate JJ cord-155475-is3su3ga 12 21 models model NNS cord-155475-is3su3ga 12 22 . . . cord-155475-is3su3ga 13 1 Through through IN cord-155475-is3su3ga 13 2 diffusion diffusion NN cord-155475-is3su3ga 13 3 models model NNS cord-155475-is3su3ga 13 4 , , , cord-155475-is3su3ga 13 5 it -PRON- PRP cord-155475-is3su3ga 13 6 is be VBZ cord-155475-is3su3ga 13 7 possible possible JJ cord-155475-is3su3ga 13 8 to to TO cord-155475-is3su3ga 13 9 study study VB cord-155475-is3su3ga 13 10 disparate disparate JJ cord-155475-is3su3ga 13 11 branches branch NNS cord-155475-is3su3ga 13 12 of of IN cord-155475-is3su3ga 13 13 knowledge knowledge NN cord-155475-is3su3ga 13 14 : : : cord-155475-is3su3ga 13 15 in in IN cord-155475-is3su3ga 13 16 economy economy NN cord-155475-is3su3ga 13 17 ( ( -LRB- cord-155475-is3su3ga 13 18 competition competition NN cord-155475-is3su3ga 13 19 among among IN cord-155475-is3su3ga 13 20 products product NNS cord-155475-is3su3ga 13 21 [ [ -LRB- cord-155475-is3su3ga 13 22 1 1 CD cord-155475-is3su3ga 13 23 ] ] -RRB- cord-155475-is3su3ga 13 24 , , , cord-155475-is3su3ga 13 25 viral viral JJ cord-155475-is3su3ga 13 26 marketing marketing NN cord-155475-is3su3ga 13 27 campaigns campaign NNS cord-155475-is3su3ga 13 28 [ [ -LRB- cord-155475-is3su3ga 13 29 2 2 CD cord-155475-is3su3ga 13 30 ] ] -RRB- cord-155475-is3su3ga 13 31 ) ) -RRB- cord-155475-is3su3ga 13 32 , , , cord-155475-is3su3ga 13 33 in in IN cord-155475-is3su3ga 13 34 epidemiology epidemiology NN cord-155475-is3su3ga 13 35 ( ( -LRB- cord-155475-is3su3ga 13 36 disease disease NN cord-155475-is3su3ga 13 37 spreading spreading NN cord-155475-is3su3ga 13 38 , , , cord-155475-is3su3ga 13 39 vaccination vaccination NN cord-155475-is3su3ga 13 40 and and CC cord-155475-is3su3ga 13 41 immunization immunization NN cord-155475-is3su3ga 13 42 problems problem NNS cord-155475-is3su3ga 13 43 ) ) -RRB- cord-155475-is3su3ga 13 44 , , , cord-155475-is3su3ga 13 45 in in IN cord-155475-is3su3ga 13 46 computer computer NN cord-155475-is3su3ga 13 47 science science NN cord-155475-is3su3ga 13 48 ( ( -LRB- cord-155475-is3su3ga 13 49 computer computer NN cord-155475-is3su3ga 13 50 viruses virus NNS cord-155475-is3su3ga 13 51 , , , cord-155475-is3su3ga 13 52 information information NN cord-155475-is3su3ga 13 53 flow flow NN cord-155475-is3su3ga 13 54 ) ) -RRB- cord-155475-is3su3ga 13 55 , , , cord-155475-is3su3ga 13 56 in in IN cord-155475-is3su3ga 13 57 social social NNP cord-155475-is3su3ga 13 58 sciences sciences NNPS cord-155475-is3su3ga 13 59 ( ( -LRB- cord-155475-is3su3ga 13 60 social social JJ cord-155475-is3su3ga 13 61 behavior behavior NN cord-155475-is3su3ga 13 62 [ [ -LRB- cord-155475-is3su3ga 13 63 3 3 CD cord-155475-is3su3ga 13 64 ] ] -RRB- cord-155475-is3su3ga 13 65 ) ) -RRB- cord-155475-is3su3ga 13 66 and and CC cord-155475-is3su3ga 13 67 medicine medicine NN cord-155475-is3su3ga 13 68 ( ( -LRB- cord-155475-is3su3ga 13 69 obesity obesity NN cord-155475-is3su3ga 13 70 diffusion diffusion NN cord-155475-is3su3ga 13 71 [ [ -LRB- cord-155475-is3su3ga 13 72 4 4 CD cord-155475-is3su3ga 13 73 ] ] -RRB- cord-155475-is3su3ga 13 74 , , , cord-155475-is3su3ga 13 75 smoking smoke VBG cord-155475-is3su3ga 13 76 cessation cessation NN cord-155475-is3su3ga 13 77 [ [ -LRB- cord-155475-is3su3ga 13 78 5 5 CD cord-155475-is3su3ga 13 79 ] ] -RRB- cord-155475-is3su3ga 13 80 , , , cord-155475-is3su3ga 13 81 alcohol alcohol NN cord-155475-is3su3ga 13 82 consumption consumption NN cord-155475-is3su3ga 13 83 [ [ -LRB- cord-155475-is3su3ga 13 84 6 6 CD cord-155475-is3su3ga 13 85 ] ] -RRB- cord-155475-is3su3ga 13 86 ) ) -RRB- cord-155475-is3su3ga 13 87 are be VBP cord-155475-is3su3ga 13 88 just just RB cord-155475-is3su3ga 13 89 some some DT cord-155475-is3su3ga 13 90 instances instance NNS cord-155475-is3su3ga 13 91 . . . cord-155475-is3su3ga 14 1 A a DT cord-155475-is3su3ga 14 2 large large JJ cord-155475-is3su3ga 14 3 number number NN cord-155475-is3su3ga 14 4 of of IN cord-155475-is3su3ga 14 5 social social JJ cord-155475-is3su3ga 14 6 behaviors behavior NNS cord-155475-is3su3ga 14 7 can can MD cord-155475-is3su3ga 14 8 be be VB cord-155475-is3su3ga 14 9 modeled model VBN cord-155475-is3su3ga 14 10 as as IN cord-155475-is3su3ga 14 11 states state NNS cord-155475-is3su3ga 14 12 propagating propagate VBG cord-155475-is3su3ga 14 13 over over IN cord-155475-is3su3ga 14 14 networks network NNS cord-155475-is3su3ga 14 15 [ [ -LRB- cord-155475-is3su3ga 14 16 3 3 CD cord-155475-is3su3ga 14 17 , , , cord-155475-is3su3ga 14 18 4 4 CD cord-155475-is3su3ga 14 19 , , , cord-155475-is3su3ga 14 20 5 5 CD cord-155475-is3su3ga 14 21 , , , cord-155475-is3su3ga 14 22 7 7 CD cord-155475-is3su3ga 14 23 ] ] -RRB- cord-155475-is3su3ga 14 24 . . . cord-155475-is3su3ga 15 1 Consequently consequently RB cord-155475-is3su3ga 15 2 to to IN cord-155475-is3su3ga 15 3 the the DT cord-155475-is3su3ga 15 4 availability availability NN cord-155475-is3su3ga 15 5 of of IN cord-155475-is3su3ga 15 6 diffusion diffusion NN cord-155475-is3su3ga 15 7 models model NNS cord-155475-is3su3ga 15 8 , , , cord-155475-is3su3ga 15 9 many many JJ cord-155475-is3su3ga 15 10 intervention intervention NN cord-155475-is3su3ga 15 11 strategies strategy NNS cord-155475-is3su3ga 15 12 were be VBD cord-155475-is3su3ga 15 13 developed develop VBN cord-155475-is3su3ga 15 14 aiming aim VBG cord-155475-is3su3ga 15 15 to to TO cord-155475-is3su3ga 15 16 answer answer VB cord-155475-is3su3ga 15 17 questions question NNS cord-155475-is3su3ga 15 18 like like IN cord-155475-is3su3ga 15 19 : : : cord-155475-is3su3ga 15 20 What what WP cord-155475-is3su3ga 15 21 are be VBP cord-155475-is3su3ga 15 22 the the DT cord-155475-is3su3ga 15 23 most most RBS cord-155475-is3su3ga 15 24 dangerous dangerous JJ cord-155475-is3su3ga 15 25 computers computer NNS cord-155475-is3su3ga 15 26 in in IN cord-155475-is3su3ga 15 27 a a DT cord-155475-is3su3ga 15 28 network network NN cord-155475-is3su3ga 15 29 ? ? . cord-155475-is3su3ga 16 1 How how WRB cord-155475-is3su3ga 16 2 to to TO cord-155475-is3su3ga 16 3 maximize maximize VB cord-155475-is3su3ga 16 4 the the DT cord-155475-is3su3ga 16 5 customer customer NN cord-155475-is3su3ga 16 6 awareness awareness NN cord-155475-is3su3ga 16 7 for for IN cord-155475-is3su3ga 16 8 a a DT cord-155475-is3su3ga 16 9 product product NN cord-155475-is3su3ga 16 10 ? ? . cord-155475-is3su3ga 17 1 On on IN cord-155475-is3su3ga 17 2 which which WDT cord-155475-is3su3ga 17 3 individuals individual NNS cord-155475-is3su3ga 17 4 is be VBZ cord-155475-is3su3ga 17 5 better well JJR cord-155475-is3su3ga 17 6 to to TO cord-155475-is3su3ga 17 7 focus focus VB cord-155475-is3su3ga 17 8 to to TO cord-155475-is3su3ga 17 9 win win VB cord-155475-is3su3ga 17 10 a a DT cord-155475-is3su3ga 17 11 poll poll NN cord-155475-is3su3ga 17 12 ? ? . cord-155475-is3su3ga 18 1 Few few JJ cord-155475-is3su3ga 18 2 studies study NNS cord-155475-is3su3ga 18 3 proposed propose VBD cord-155475-is3su3ga 18 4 strategies strategy NNS cord-155475-is3su3ga 18 5 to to TO cord-155475-is3su3ga 18 6 advantage advantage VB cord-155475-is3su3ga 18 7 a a DT cord-155475-is3su3ga 18 8 state state NN cord-155475-is3su3ga 18 9 compare compare VBP cord-155475-is3su3ga 18 10 to to IN cord-155475-is3su3ga 18 11 another another DT cord-155475-is3su3ga 18 12 ( ( -LRB- cord-155475-is3su3ga 18 13 like like UH cord-155475-is3su3ga 18 14 in in IN cord-155475-is3su3ga 18 15 marketing marketing NN cord-155475-is3su3ga 18 16 campaigns campaign NNS cord-155475-is3su3ga 18 17 ) ) -RRB- cord-155475-is3su3ga 18 18 or or CC cord-155475-is3su3ga 18 19 to to TO cord-155475-is3su3ga 18 20 mitigate mitigate VB cord-155475-is3su3ga 18 21 the the DT cord-155475-is3su3ga 18 22 diffusion diffusion NN cord-155475-is3su3ga 18 23 of of IN cord-155475-is3su3ga 18 24 an an DT cord-155475-is3su3ga 18 25 undesirable undesirable JJ cord-155475-is3su3ga 18 26 state state NN cord-155475-is3su3ga 18 27 ( ( -LRB- cord-155475-is3su3ga 18 28 like like IN cord-155475-is3su3ga 18 29 in in IN cord-155475-is3su3ga 18 30 epidemiology epidemiology NN cord-155475-is3su3ga 18 31 ) ) -RRB- cord-155475-is3su3ga 18 32 . . . cord-155475-is3su3ga 19 1 Most Most JJS cord-155475-is3su3ga 19 2 of of IN cord-155475-is3su3ga 19 3 them -PRON- PRP cord-155475-is3su3ga 19 4 are be VBP cord-155475-is3su3ga 19 5 static static JJ cord-155475-is3su3ga 19 6 strategies strategy NNS cord-155475-is3su3ga 19 7 based base VBN cord-155475-is3su3ga 19 8 on on IN cord-155475-is3su3ga 19 9 the the DT cord-155475-is3su3ga 19 10 network network NN cord-155475-is3su3ga 19 11 structure structure NN cord-155475-is3su3ga 19 12 ( ( -LRB- cord-155475-is3su3ga 19 13 e.g. e.g. IN cord-155475-is3su3ga 19 14 [ [ -LRB- cord-155475-is3su3ga 19 15 8 8 CD cord-155475-is3su3ga 19 16 ] ] -RRB- cord-155475-is3su3ga 19 17 ) ) -RRB- cord-155475-is3su3ga 19 18 , , , cord-155475-is3su3ga 19 19 while while IN cord-155475-is3su3ga 19 20 others other NNS cord-155475-is3su3ga 19 21 are be VBP cord-155475-is3su3ga 19 22 dynamic dynamic JJ cord-155475-is3su3ga 19 23 strategies strategy NNS cord-155475-is3su3ga 19 24 that that WDT cord-155475-is3su3ga 19 25 use use VBP cord-155475-is3su3ga 19 26 the the DT cord-155475-is3su3ga 19 27 whole whole JJ cord-155475-is3su3ga 19 28 information information NN cord-155475-is3su3ga 19 29 about about IN cord-155475-is3su3ga 19 30 the the DT cord-155475-is3su3ga 19 31 current current JJ cord-155475-is3su3ga 19 32 state state NN cord-155475-is3su3ga 19 33 of of IN cord-155475-is3su3ga 19 34 the the DT cord-155475-is3su3ga 19 35 system system NN cord-155475-is3su3ga 19 36 to to TO cord-155475-is3su3ga 19 37 suggest suggest VB cord-155475-is3su3ga 19 38 the the DT cord-155475-is3su3ga 19 39 best good JJS cord-155475-is3su3ga 19 40 elements element NNS cord-155475-is3su3ga 19 41 to to TO cord-155475-is3su3ga 19 42 treat treat VB cord-155475-is3su3ga 19 43 . . . cord-155475-is3su3ga 20 1 Among among IN cord-155475-is3su3ga 20 2 them -PRON- PRP cord-155475-is3su3ga 20 3 , , , cord-155475-is3su3ga 20 4 the the DT cord-155475-is3su3ga 20 5 Largest large JJS cord-155475-is3su3ga 20 6 Reduction reduction NN cord-155475-is3su3ga 20 7 in in IN cord-155475-is3su3ga 20 8 Infectious infectious JJ cord-155475-is3su3ga 20 9 Edges Edges NNPS cord-155475-is3su3ga 20 10 ( ( -LRB- cord-155475-is3su3ga 20 11 LRIE LRIE NNP cord-155475-is3su3ga 20 12 ) ) -RRB- cord-155475-is3su3ga 20 13 [ [ -LRB- cord-155475-is3su3ga 20 14 9 9 CD cord-155475-is3su3ga 20 15 ] ] -RRB- cord-155475-is3su3ga 20 16 results result NNS cord-155475-is3su3ga 20 17 to to TO cord-155475-is3su3ga 20 18 be be VB cord-155475-is3su3ga 20 19 the the DT cord-155475-is3su3ga 20 20 optimal optimal JJ cord-155475-is3su3ga 20 21 greedy greedy JJ cord-155475-is3su3ga 20 22 algorithm algorithm NN cord-155475-is3su3ga 20 23 for for IN cord-155475-is3su3ga 20 24 resource resource NN cord-155475-is3su3ga 20 25 allocation allocation NN cord-155475-is3su3ga 20 26 under under IN cord-155475-is3su3ga 20 27 limitations limitation NNS cord-155475-is3su3ga 20 28 in in IN cord-155475-is3su3ga 20 29 the the DT cord-155475-is3su3ga 20 30 resource resource NN cord-155475-is3su3ga 20 31 budget budget NN cord-155475-is3su3ga 20 32 , , , cord-155475-is3su3ga 20 33 in in IN cord-155475-is3su3ga 20 34 the the DT cord-155475-is3su3ga 20 35 N n CD cord-155475-is3su3ga 20 36 -intertwined -intertwined NNP cord-155475-is3su3ga 20 37 Susceptible Susceptible NNP cord-155475-is3su3ga 20 38 - - HYPH cord-155475-is3su3ga 20 39 Infected infected JJ cord-155475-is3su3ga 20 40 - - HYPH cord-155475-is3su3ga 20 41 Susceptible susceptible JJ cord-155475-is3su3ga 20 42 ( ( -LRB- cord-155475-is3su3ga 20 43 SIS SIS NNP cord-155475-is3su3ga 20 44 ) ) -RRB- cord-155475-is3su3ga 20 45 epidemic epidemic NN cord-155475-is3su3ga 20 46 model model NN cord-155475-is3su3ga 20 47 . . . cord-155475-is3su3ga 21 1 This this DT cord-155475-is3su3ga 21 2 model model NN cord-155475-is3su3ga 21 3 is be VBZ cord-155475-is3su3ga 21 4 a a DT cord-155475-is3su3ga 21 5 two two CD cord-155475-is3su3ga 21 6 - - HYPH cord-155475-is3su3ga 21 7 state state NN cord-155475-is3su3ga 21 8 continuous continuous JJ cord-155475-is3su3ga 21 9 - - HYPH cord-155475-is3su3ga 21 10 time time NN cord-155475-is3su3ga 21 11 Markov Markov NNP cord-155475-is3su3ga 21 12 process process NN cord-155475-is3su3ga 21 13 over over IN cord-155475-is3su3ga 21 14 a a DT cord-155475-is3su3ga 21 15 network network NN cord-155475-is3su3ga 21 16 , , , cord-155475-is3su3ga 21 17 in in IN cord-155475-is3su3ga 21 18 which which WDT cord-155475-is3su3ga 21 19 a a DT cord-155475-is3su3ga 21 20 node node NN cord-155475-is3su3ga 21 21 can can MD cord-155475-is3su3ga 21 22 change change VB cord-155475-is3su3ga 21 23 state state NN cord-155475-is3su3ga 21 24 according accord VBG cord-155475-is3su3ga 21 25 to to IN cord-155475-is3su3ga 21 26 a a DT cord-155475-is3su3ga 21 27 transition transition NN cord-155475-is3su3ga 21 28 rate rate NN cord-155475-is3su3ga 21 29 that that WDT cord-155475-is3su3ga 21 30 is be VBZ cord-155475-is3su3ga 21 31 linear linear JJ cord-155475-is3su3ga 21 32 in in IN cord-155475-is3su3ga 21 33 its -PRON- PRP$ cord-155475-is3su3ga 21 34 neighbors neighbor NNS cord-155475-is3su3ga 21 35 ' ' POS cord-155475-is3su3ga 21 36 states state NNS cord-155475-is3su3ga 21 37 . . . cord-155475-is3su3ga 22 1 However however RB cord-155475-is3su3ga 22 2 SIS SIS NNP cord-155475-is3su3ga 22 3 models model NNS cord-155475-is3su3ga 22 4 have have VBP cord-155475-is3su3ga 22 5 been be VBN cord-155475-is3su3ga 22 6 deemed deem VBN cord-155475-is3su3ga 22 7 too too RB cord-155475-is3su3ga 22 8 simple simple JJ cord-155475-is3su3ga 22 9 to to TO cord-155475-is3su3ga 22 10 describe describe VB cord-155475-is3su3ga 22 11 the the DT cord-155475-is3su3ga 22 12 complexity complexity NN cord-155475-is3su3ga 22 13 of of IN cord-155475-is3su3ga 22 14 real real JJ cord-155475-is3su3ga 22 15 - - HYPH cord-155475-is3su3ga 22 16 world world NN cord-155475-is3su3ga 22 17 phenomena phenomenon NNS cord-155475-is3su3ga 22 18 such such JJ cord-155475-is3su3ga 22 19 as as IN cord-155475-is3su3ga 22 20 the the DT cord-155475-is3su3ga 22 21 contemporary contemporary JJ cord-155475-is3su3ga 22 22 presence presence NN cord-155475-is3su3ga 22 23 of of IN cord-155475-is3su3ga 22 24 two two CD cord-155475-is3su3ga 22 25 distinct distinct JJ cord-155475-is3su3ga 22 26 viruses virus NNS cord-155475-is3su3ga 22 27 which which WDT cord-155475-is3su3ga 22 28 spread spread VBD cord-155475-is3su3ga 22 29 on on IN cord-155475-is3su3ga 22 30 the the DT cord-155475-is3su3ga 22 31 same same JJ cord-155475-is3su3ga 22 32 network network NN cord-155475-is3su3ga 22 33 . . . cord-155475-is3su3ga 23 1 In in IN cord-155475-is3su3ga 23 2 particular particular JJ cord-155475-is3su3ga 23 3 , , , cord-155475-is3su3ga 23 4 there there EX cord-155475-is3su3ga 23 5 can can MD cord-155475-is3su3ga 23 6 be be VB cord-155475-is3su3ga 23 7 considered consider VBN cord-155475-is3su3ga 23 8 two two CD cord-155475-is3su3ga 23 9 possible possible JJ cord-155475-is3su3ga 23 10 cases case NNS cord-155475-is3su3ga 23 11 ; ; : cord-155475-is3su3ga 23 12 in in IN cord-155475-is3su3ga 23 13 the the DT cord-155475-is3su3ga 23 14 first first JJ cord-155475-is3su3ga 23 15 an an DT cord-155475-is3su3ga 23 16 individual individual NN cord-155475-is3su3ga 23 17 can can MD cord-155475-is3su3ga 23 18 be be VB cord-155475-is3su3ga 23 19 infected infect VBN cord-155475-is3su3ga 23 20 simultaneously simultaneously RB cord-155475-is3su3ga 23 21 by by IN cord-155475-is3su3ga 23 22 both both DT cord-155475-is3su3ga 23 23 diseases disease NNS cord-155475-is3su3ga 23 24 ( ( -LRB- cord-155475-is3su3ga 23 25 e.g. e.g. RB cord-155475-is3su3ga 23 26 as as IN cord-155475-is3su3ga 23 27 in in IN cord-155475-is3su3ga 23 28 the the DT cord-155475-is3su3ga 23 29 SI si NN cord-155475-is3su3ga 23 30 1 1 CD cord-155475-is3su3ga 23 31 I i NN cord-155475-is3su3ga 23 32 2 2 CD cord-155475-is3su3ga 23 33 S s NN cord-155475-is3su3ga 23 34 model model NN cord-155475-is3su3ga 23 35 [ [ -LRB- cord-155475-is3su3ga 23 36 1 1 CD cord-155475-is3su3ga 23 37 ] ] -RRB- cord-155475-is3su3ga 23 38 ) ) -RRB- cord-155475-is3su3ga 24 1 and and CC cord-155475-is3su3ga 24 2 , , , cord-155475-is3su3ga 24 3 in in IN cord-155475-is3su3ga 24 4 the the DT cord-155475-is3su3ga 24 5 second second JJ cord-155475-is3su3ga 24 6 , , , cord-155475-is3su3ga 24 7 mutual mutual JJ cord-155475-is3su3ga 24 8 exclusivity exclusivity NN cord-155475-is3su3ga 24 9 only only RB cord-155475-is3su3ga 24 10 one one CD cord-155475-is3su3ga 24 11 infection infection NN cord-155475-is3su3ga 24 12 is be VBZ cord-155475-is3su3ga 24 13 allowed allow VBN cord-155475-is3su3ga 24 14 for for IN cord-155475-is3su3ga 24 15 each each DT cord-155475-is3su3ga 24 16 individual individual NN cord-155475-is3su3ga 24 17 at at IN cord-155475-is3su3ga 24 18 a a DT cord-155475-is3su3ga 24 19 given give VBN cord-155475-is3su3ga 24 20 time time NN cord-155475-is3su3ga 24 21 ( ( -LRB- cord-155475-is3su3ga 24 22 e.g. e.g. RB cord-155475-is3su3ga 24 23 SI SI NNP cord-155475-is3su3ga 24 24 1|2 1|2 NNP cord-155475-is3su3ga 24 25 S S NNP cord-155475-is3su3ga 24 26 model model NN cord-155475-is3su3ga 24 27 [ [ -LRB- cord-155475-is3su3ga 24 28 10 10 CD cord-155475-is3su3ga 24 29 ] ] -RRB- cord-155475-is3su3ga 24 30 ) ) -RRB- cord-155475-is3su3ga 24 31 . . . cord-155475-is3su3ga 25 1 Other other JJ cord-155475-is3su3ga 25 2 attempts attempt NNS cord-155475-is3su3ga 25 3 tried try VBD cord-155475-is3su3ga 25 4 to to TO cord-155475-is3su3ga 25 5 change change VB cord-155475-is3su3ga 25 6 the the DT cord-155475-is3su3ga 25 7 dynamical dynamical JJ cord-155475-is3su3ga 25 8 equations equation NNS cord-155475-is3su3ga 25 9 ( ( -LRB- cord-155475-is3su3ga 25 10 like like UH cord-155475-is3su3ga 25 11 in in IN cord-155475-is3su3ga 25 12 the the DT cord-155475-is3su3ga 25 13 SISa SISa NNS cord-155475-is3su3ga 25 14 [ [ -LRB- cord-155475-is3su3ga 25 15 3 3 CD cord-155475-is3su3ga 25 16 , , , cord-155475-is3su3ga 25 17 7 7 CD cord-155475-is3su3ga 25 18 ] ] -RRB- cord-155475-is3su3ga 25 19 ) ) -RRB- cord-155475-is3su3ga 25 20 . . . cord-155475-is3su3ga 26 1 In in IN cord-155475-is3su3ga 26 2 this this DT cord-155475-is3su3ga 26 3 study study NN cord-155475-is3su3ga 26 4 , , , cord-155475-is3su3ga 26 5 we -PRON- PRP cord-155475-is3su3ga 26 6 propose propose VBP cord-155475-is3su3ga 26 7 the the DT cord-155475-is3su3ga 26 8 Generalized Generalized NNP cord-155475-is3su3ga 26 9 Largest large JJS cord-155475-is3su3ga 26 10 Reduction Reduction NNP cord-155475-is3su3ga 26 11 in in IN cord-155475-is3su3ga 26 12 Infectious infectious JJ cord-155475-is3su3ga 26 13 Edges Edges NNPS cord-155475-is3su3ga 26 14 ( ( -LRB- cord-155475-is3su3ga 26 15 gLRIE gLRIE NNP cord-155475-is3su3ga 26 16 ) ) -RRB- cord-155475-is3su3ga 26 17 strategy strategy NN cord-155475-is3su3ga 26 18 , , , cord-155475-is3su3ga 26 19 which which WDT cord-155475-is3su3ga 26 20 is be VBZ cord-155475-is3su3ga 26 21 adapted adapt VBN cord-155475-is3su3ga 26 22 for for IN cord-155475-is3su3ga 26 23 the the DT cord-155475-is3su3ga 26 24 diffusion diffusion NN cord-155475-is3su3ga 26 25 competition competition NN cord-155475-is3su3ga 26 26 of of IN cord-155475-is3su3ga 26 27 recurrent recurrent JJ cord-155475-is3su3ga 26 28 epidemics epidemic NNS cord-155475-is3su3ga 26 29 , , , cord-155475-is3su3ga 26 30 as as RB cord-155475-is3su3ga 26 31 well well RB cord-155475-is3su3ga 26 32 as as IN cord-155475-is3su3ga 26 33 nonlinearity nonlinearity NN cord-155475-is3su3ga 26 34 and and CC cord-155475-is3su3ga 26 35 saturation saturation NN cord-155475-is3su3ga 26 36 of of IN cord-155475-is3su3ga 26 37 the the DT cord-155475-is3su3ga 26 38 functions function NNS cord-155475-is3su3ga 26 39 of of IN cord-155475-is3su3ga 26 40 node node NN cord-155475-is3su3ga 26 41 transition transition NN cord-155475-is3su3ga 26 42 rates rate NNS cord-155475-is3su3ga 26 43 . . . cord-155475-is3su3ga 27 1 This this DT cord-155475-is3su3ga 27 2 strategy strategy NN cord-155475-is3su3ga 27 3 includes include VBZ cord-155475-is3su3ga 27 4 the the DT cord-155475-is3su3ga 27 5 LRIE LRIE NNP cord-155475-is3su3ga 27 6 strategy strategy NN cord-155475-is3su3ga 27 7 [ [ -LRB- cord-155475-is3su3ga 27 8 9 9 CD cord-155475-is3su3ga 27 9 ] ] -RRB- cord-155475-is3su3ga 27 10 and and CC cord-155475-is3su3ga 27 11 , , , cord-155475-is3su3ga 27 12 as as IN cord-155475-is3su3ga 27 13 such such JJ cord-155475-is3su3ga 27 14 , , , cord-155475-is3su3ga 27 15 provides provide VBZ cord-155475-is3su3ga 27 16 an an DT cord-155475-is3su3ga 27 17 optimal optimal JJ cord-155475-is3su3ga 27 18 greedy greedy JJ cord-155475-is3su3ga 27 19 approach approach NN cord-155475-is3su3ga 27 20 for for IN cord-155475-is3su3ga 27 21 this this DT cord-155475-is3su3ga 27 22 more more RBR cord-155475-is3su3ga 27 23 sophisticated sophisticated JJ cord-155475-is3su3ga 27 24 network network NN cord-155475-is3su3ga 27 25 diffusion diffusion NN cord-155475-is3su3ga 27 26 setting setting NN cord-155475-is3su3ga 27 27 . . . cord-155475-is3su3ga 28 1 gLRIE gLRIE NNP cord-155475-is3su3ga 28 2 computes compute VBZ cord-155475-is3su3ga 28 3 a a DT cord-155475-is3su3ga 28 4 node node NN cord-155475-is3su3ga 28 5 score score NN cord-155475-is3su3ga 28 6 using use VBG cord-155475-is3su3ga 28 7 only only JJ cord-155475-is3su3ga 28 8 local local JJ cord-155475-is3su3ga 28 9 information information NN cord-155475-is3su3ga 28 10 about about IN cord-155475-is3su3ga 28 11 the the DT cord-155475-is3su3ga 28 12 state state NN cord-155475-is3su3ga 28 13 of of IN cord-155475-is3su3ga 28 14 close close NN cord-155475-is3su3ga 28 15 - - HYPH cord-155475-is3su3ga 28 16 by by IN cord-155475-is3su3ga 28 17 nodes node NNS cord-155475-is3su3ga 28 18 . . . cord-155475-is3su3ga 29 1 Although although IN cord-155475-is3su3ga 29 2 in in IN cord-155475-is3su3ga 29 3 the the DT cord-155475-is3su3ga 29 4 present present JJ cord-155475-is3su3ga 29 5 formulation formulation NN cord-155475-is3su3ga 29 6 the the DT cord-155475-is3su3ga 29 7 method method NN cord-155475-is3su3ga 29 8 can can MD cord-155475-is3su3ga 29 9 be be VB cord-155475-is3su3ga 29 10 applied apply VBN cord-155475-is3su3ga 29 11 to to IN cord-155475-is3su3ga 29 12 any any DT cord-155475-is3su3ga 29 13 two two CD cord-155475-is3su3ga 29 14 - - HYPH cord-155475-is3su3ga 29 15 state state NN cord-155475-is3su3ga 29 16 recurrent recurrent JJ cord-155475-is3su3ga 29 17 Markov Markov NNP cord-155475-is3su3ga 29 18 process process NN cord-155475-is3su3ga 29 19 and and CC cord-155475-is3su3ga 29 20 is be VBZ cord-155475-is3su3ga 29 21 easily easily RB cord-155475-is3su3ga 29 22 generalizable generalizable JJ cord-155475-is3su3ga 29 23 to to IN cord-155475-is3su3ga 29 24 more more JJR cord-155475-is3su3ga 29 25 states state NNS cord-155475-is3su3ga 29 26 , , , cord-155475-is3su3ga 29 27 in in IN cord-155475-is3su3ga 29 28 this this DT cord-155475-is3su3ga 29 29 work work NN cord-155475-is3su3ga 29 30 we -PRON- PRP cord-155475-is3su3ga 29 31 focus focus VBP cord-155475-is3su3ga 29 32 on on IN cord-155475-is3su3ga 29 33 social social JJ cord-155475-is3su3ga 29 34 behaviors behavior NNS cord-155475-is3su3ga 29 35 that that WDT cord-155475-is3su3ga 29 36 can can MD cord-155475-is3su3ga 29 37 be be VB cord-155475-is3su3ga 29 38 ' ' `` cord-155475-is3su3ga 29 39 healthy healthy JJ cord-155475-is3su3ga 29 40 ' ' '' cord-155475-is3su3ga 29 41 or or CC cord-155475-is3su3ga 29 42 ' ' `` cord-155475-is3su3ga 29 43 unhealthy unhealthy JJ cord-155475-is3su3ga 29 44 ' ' '' cord-155475-is3su3ga 29 45 with with IN cord-155475-is3su3ga 29 46 negative negative JJ cord-155475-is3su3ga 29 47 effects effect NNS cord-155475-is3su3ga 29 48 in in IN cord-155475-is3su3ga 29 49 the the DT cord-155475-is3su3ga 29 50 social social JJ cord-155475-is3su3ga 29 51 environment environment NN cord-155475-is3su3ga 29 52 . . . cord-155475-is3su3ga 30 1 Given give VBN cord-155475-is3su3ga 30 2 a a DT cord-155475-is3su3ga 30 3 limited limited JJ cord-155475-is3su3ga 30 4 amount amount NN cord-155475-is3su3ga 30 5 of of IN cord-155475-is3su3ga 30 6 resources resource NNS cord-155475-is3su3ga 30 7 we -PRON- PRP cord-155475-is3su3ga 30 8 would would MD cord-155475-is3su3ga 30 9 like like VB cord-155475-is3su3ga 30 10 to to TO cord-155475-is3su3ga 30 11 target target VB cord-155475-is3su3ga 30 12 the the DT cord-155475-is3su3ga 30 13 few few JJ cord-155475-is3su3ga 30 14 key key NN cord-155475-is3su3ga 30 15 - - HYPH cord-155475-is3su3ga 30 16 individuals individual NNS cord-155475-is3su3ga 30 17 so so IN cord-155475-is3su3ga 30 18 as as IN cord-155475-is3su3ga 30 19 to to TO cord-155475-is3su3ga 30 20 minimize minimize VB cord-155475-is3su3ga 30 21 the the DT cord-155475-is3su3ga 30 22 negative negative JJ cord-155475-is3su3ga 30 23 effects effect NNS cord-155475-is3su3ga 30 24 . . . cord-155475-is3su3ga 31 1 Apart apart RB cord-155475-is3su3ga 31 2 from from IN cord-155475-is3su3ga 31 3 the the DT cord-155475-is3su3ga 31 4 mentioned mention VBN cord-155475-is3su3ga 31 5 habits habit NNS cord-155475-is3su3ga 31 6 affecting affect VBG cord-155475-is3su3ga 31 7 one one PRP cord-155475-is3su3ga 31 8 's 's POS cord-155475-is3su3ga 31 9 personal personal JJ cord-155475-is3su3ga 31 10 health health NN cord-155475-is3su3ga 31 11 ( ( -LRB- cord-155475-is3su3ga 31 12 e.g. e.g. DT cord-155475-is3su3ga 31 13 unhealthy unhealthy JJ cord-155475-is3su3ga 31 14 diet diet NN cord-155475-is3su3ga 31 15 , , , cord-155475-is3su3ga 31 16 smoking smoking NN cord-155475-is3su3ga 31 17 , , , cord-155475-is3su3ga 31 18 etc etc FW cord-155475-is3su3ga 31 19 . . . cord-155475-is3su3ga 31 20 ) ) -RRB- cord-155475-is3su3ga 31 21 , , , cord-155475-is3su3ga 31 22 the the DT cord-155475-is3su3ga 31 23 recent recent JJ cord-155475-is3su3ga 31 24 COVID-19 COVID-19 NNP cord-155475-is3su3ga 31 25 pandemic pandemic NN cord-155475-is3su3ga 31 26 highlighted highlight VBN cord-155475-is3su3ga 31 27 yet yet RB cord-155475-is3su3ga 31 28 another another DT cord-155475-is3su3ga 31 29 interesting interesting JJ cord-155475-is3su3ga 31 30 ' ' `` cord-155475-is3su3ga 31 31 unhealthy unhealthy JJ cord-155475-is3su3ga 31 32 ' ' '' cord-155475-is3su3ga 31 33 misbehavior misbehavior NN cord-155475-is3su3ga 31 34 : : : cord-155475-is3su3ga 31 35 the the DT cord-155475-is3su3ga 31 36 disrespect disrespect NN cord-155475-is3su3ga 31 37 of of IN cord-155475-is3su3ga 31 38 confinement confinement NN cord-155475-is3su3ga 31 39 under under IN cord-155475-is3su3ga 31 40 a a DT cord-155475-is3su3ga 31 41 city city NN cord-155475-is3su3ga 31 42 lock lock NN cord-155475-is3su3ga 31 43 - - HYPH cord-155475-is3su3ga 31 44 down down NN cord-155475-is3su3ga 31 45 , , , cord-155475-is3su3ga 31 46 or or CC cord-155475-is3su3ga 31 47 of of IN cord-155475-is3su3ga 31 48 social social JJ cord-155475-is3su3ga 31 49 distantiation distantiation NNP cord-155475-is3su3ga 31 50 guidelines guideline NNS cord-155475-is3su3ga 31 51 in in IN cord-155475-is3su3ga 31 52 general general JJ cord-155475-is3su3ga 31 53 . . . cord-155475-is3su3ga 32 1 Indeed indeed RB cord-155475-is3su3ga 32 2 , , , cord-155475-is3su3ga 32 3 this this DT cord-155475-is3su3ga 32 4 kind kind NN cord-155475-is3su3ga 32 5 of of IN cord-155475-is3su3ga 32 6 misbehavior misbehavior NN cord-155475-is3su3ga 32 7 is be VBZ cord-155475-is3su3ga 32 8 a a DT cord-155475-is3su3ga 32 9 determinant determinant JJ cord-155475-is3su3ga 32 10 factor factor NN cord-155475-is3su3ga 32 11 for for IN cord-155475-is3su3ga 32 12 the the DT cord-155475-is3su3ga 32 13 reproduction reproduction NN cord-155475-is3su3ga 32 14 rate rate NN cord-155475-is3su3ga 32 15 ( ( -LRB- cord-155475-is3su3ga 32 16 the the DT cord-155475-is3su3ga 32 17 infamous infamous JJ cord-155475-is3su3ga 32 18 R r NN cord-155475-is3su3ga 32 19 t t NN cord-155475-is3su3ga 32 20 ) ) -RRB- cord-155475-is3su3ga 32 21 of of IN cord-155475-is3su3ga 32 22 an an DT cord-155475-is3su3ga 32 23 epidemic epidemic NN cord-155475-is3su3ga 32 24 over over IN cord-155475-is3su3ga 32 25 time time NN cord-155475-is3su3ga 32 26 , , , cord-155475-is3su3ga 32 27 and and CC cord-155475-is3su3ga 32 28 can can MD cord-155475-is3su3ga 32 29 be be VB cord-155475-is3su3ga 32 30 readily readily RB cord-155475-is3su3ga 32 31 enforced enforce VBN cord-155475-is3su3ga 32 32 by by IN cord-155475-is3su3ga 32 33 making make VBG cord-155475-is3su3ga 32 34 more more JJR cord-155475-is3su3ga 32 35 controls control NNS cord-155475-is3su3ga 32 36 in in IN cord-155475-is3su3ga 32 37 key key JJ cord-155475-is3su3ga 32 38 areas area NNS cord-155475-is3su3ga 32 39 , , , cord-155475-is3su3ga 32 40 or or CC cord-155475-is3su3ga 32 41 using use VBG cord-155475-is3su3ga 32 42 mobility mobility NN cord-155475-is3su3ga 32 43 and and CC cord-155475-is3su3ga 32 44 contact contact NN cord-155475-is3su3ga 32 45 information information NN cord-155475-is3su3ga 32 46 at at IN cord-155475-is3su3ga 32 47 individual individual JJ cord-155475-is3su3ga 32 48 level level NN cord-155475-is3su3ga 32 49 . . . cord-155475-is3su3ga 33 1 A a DT cord-155475-is3su3ga 33 2 graph graph NN cord-155475-is3su3ga 33 3 G g NN cord-155475-is3su3ga 33 4 = = , cord-155475-is3su3ga 33 5 ( ( -LRB- cord-155475-is3su3ga 33 6 V v NN cord-155475-is3su3ga 33 7 , , , cord-155475-is3su3ga 33 8 E E NNP cord-155475-is3su3ga 33 9 ) ) -RRB- cord-155475-is3su3ga 33 10 is be VBZ cord-155475-is3su3ga 33 11 a a DT cord-155475-is3su3ga 33 12 set set NN cord-155475-is3su3ga 33 13 of of IN cord-155475-is3su3ga 33 14 nodes node NNS cord-155475-is3su3ga 33 15 V V NNP cord-155475-is3su3ga 33 16 , , , cord-155475-is3su3ga 33 17 let let VB cord-155475-is3su3ga 33 18 N n NN cord-155475-is3su3ga 33 19 = = SYM cord-155475-is3su3ga 33 20 |V| |V| NNP cord-155475-is3su3ga 33 21 , , , cord-155475-is3su3ga 33 22 endowed endow VBN cord-155475-is3su3ga 33 23 with with IN cord-155475-is3su3ga 33 24 a a DT cord-155475-is3su3ga 33 25 set set NN cord-155475-is3su3ga 33 26 of of IN cord-155475-is3su3ga 33 27 edges edge NNS cord-155475-is3su3ga 33 28 E e NN cord-155475-is3su3ga 33 29 ⊂ ⊂ NN cord-155475-is3su3ga 33 30 V v NN cord-155475-is3su3ga 33 31 × × NN cord-155475-is3su3ga 34 1 V. V. NNP cord-155475-is3su3ga 35 1 It -PRON- PRP cord-155475-is3su3ga 35 2 can can MD cord-155475-is3su3ga 35 3 be be VB cord-155475-is3su3ga 35 4 intuitively intuitively RB cord-155475-is3su3ga 35 5 represented represent VBN cord-155475-is3su3ga 35 6 by by IN cord-155475-is3su3ga 35 7 its -PRON- PRP$ cord-155475-is3su3ga 35 8 adjacency adjacency NN cord-155475-is3su3ga 35 9 matrix matrix NN cord-155475-is3su3ga 35 10 A a NN cord-155475-is3su3ga 35 11 = = : cord-155475-is3su3ga 35 12 { { -LRB- cord-155475-is3su3ga 35 13 0 0 CD cord-155475-is3su3ga 35 14 , , , cord-155475-is3su3ga 35 15 1 1 CD cord-155475-is3su3ga 35 16 } } -RRB- cord-155475-is3su3ga 35 17 N n CD cord-155475-is3su3ga 35 18 , , , cord-155475-is3su3ga 35 19 where where WRB cord-155475-is3su3ga 35 20 each each DT cord-155475-is3su3ga 35 21 A a DT cord-155475-is3su3ga 35 22 ij ij NN cord-155475-is3su3ga 35 23 element element NN cord-155475-is3su3ga 35 24 is be VBZ cord-155475-is3su3ga 35 25 1 1 CD cord-155475-is3su3ga 35 26 if if IN cord-155475-is3su3ga 35 27 ( ( -LRB- cord-155475-is3su3ga 35 28 i i PRP cord-155475-is3su3ga 35 29 , , , cord-155475-is3su3ga 35 30 j j NNP cord-155475-is3su3ga 35 31 ) ) -RRB- cord-155475-is3su3ga 35 32 ∈ ∈ NNP cord-155475-is3su3ga 35 33 E E NNP cord-155475-is3su3ga 35 34 , , , cord-155475-is3su3ga 35 35 and and CC cord-155475-is3su3ga 35 36 0 0 NFP cord-155475-is3su3ga 35 37 otherwise otherwise RB cord-155475-is3su3ga 35 38 . . . cord-155475-is3su3ga 36 1 Without without IN cord-155475-is3su3ga 36 2 loss loss NN cord-155475-is3su3ga 36 3 of of IN cord-155475-is3su3ga 36 4 generality generality NN cord-155475-is3su3ga 36 5 , , , cord-155475-is3su3ga 36 6 we -PRON- PRP cord-155475-is3su3ga 36 7 refer refer VBP cord-155475-is3su3ga 36 8 to to IN cord-155475-is3su3ga 36 9 undirected undirected JJ cord-155475-is3su3ga 36 10 graphs graph NNS cord-155475-is3su3ga 36 11 without without IN cord-155475-is3su3ga 36 12 self self NN cord-155475-is3su3ga 36 13 - - HYPH cord-155475-is3su3ga 36 14 loops loop NNS cord-155475-is3su3ga 36 15 , , , cord-155475-is3su3ga 36 16 i.e. i.e. FW cord-155475-is3su3ga 36 17 A a NN cord-155475-is3su3ga 36 18 = = NFP cord-155475-is3su3ga 37 1 A a DT cord-155475-is3su3ga 37 2 T t NN cord-155475-is3su3ga 37 3 and and CC cord-155475-is3su3ga 37 4 A a NN cord-155475-is3su3ga 37 5 ii ii NN cord-155475-is3su3ga 37 6 = = SYM cord-155475-is3su3ga 37 7 0 0 CD cord-155475-is3su3ga 37 8 , , , cord-155475-is3su3ga 37 9 ∀i ∀i NNP cord-155475-is3su3ga 37 10 = = SYM cord-155475-is3su3ga 37 11 1 1 CD cord-155475-is3su3ga 37 12 , , , cord-155475-is3su3ga 37 13 ... ... NFP cord-155475-is3su3ga 37 14 , , , cord-155475-is3su3ga 37 15 N n CD cord-155475-is3su3ga 37 16 . . . cord-155475-is3su3ga 38 1 The the DT cord-155475-is3su3ga 38 2 neighborhood neighborhood NN cord-155475-is3su3ga 38 3 of of IN cord-155475-is3su3ga 38 4 node node NN cord-155475-is3su3ga 39 1 i i PRP cord-155475-is3su3ga 39 2 is be VBZ cord-155475-is3su3ga 39 3 the the DT cord-155475-is3su3ga 39 4 set set NN cord-155475-is3su3ga 39 5 of of IN cord-155475-is3su3ga 39 6 all all DT cord-155475-is3su3ga 39 7 nodes node NNS cord-155475-is3su3ga 39 8 connected connect VBN cord-155475-is3su3ga 39 9 to to IN cord-155475-is3su3ga 39 10 it -PRON- PRP cord-155475-is3su3ga 39 11 with with IN cord-155475-is3su3ga 39 12 a a DT cord-155475-is3su3ga 39 13 direct direct JJ cord-155475-is3su3ga 39 14 edge edge NN cord-155475-is3su3ga 39 15 , , , cord-155475-is3su3ga 39 16 and and CC cord-155475-is3su3ga 39 17 is be VBZ cord-155475-is3su3ga 39 18 denoted denote VBN cord-155475-is3su3ga 39 19 by by IN cord-155475-is3su3ga 39 20 N N NNP cord-155475-is3su3ga 39 21 i i NN cord-155475-is3su3ga 39 22 = = NFP cord-155475-is3su3ga 39 23 { { -LRB- cord-155475-is3su3ga 39 24 i i NNP cord-155475-is3su3ga 39 25 k k NNP cord-155475-is3su3ga 39 26 , , , cord-155475-is3su3ga 39 27 ∀k ∀k NNP cord-155475-is3su3ga 39 28 ∈ ∈ NN cord-155475-is3su3ga 39 29 { { -LRB- cord-155475-is3su3ga 39 30 1 1 CD cord-155475-is3su3ga 39 31 , , , cord-155475-is3su3ga 39 32 ... ... NFP cord-155475-is3su3ga 39 33 , , , cord-155475-is3su3ga 40 1 d d NNP cord-155475-is3su3ga 40 2 i i NN cord-155475-is3su3ga 40 3 } } -RRB- cord-155475-is3su3ga 40 4 : : : cord-155475-is3su3ga 40 5 ( ( -LRB- cord-155475-is3su3ga 40 6 i i NNP cord-155475-is3su3ga 40 7 k k NNP cord-155475-is3su3ga 40 8 , , , cord-155475-is3su3ga 40 9 i i NN cord-155475-is3su3ga 40 10 ) ) -RRB- cord-155475-is3su3ga 40 11 ∈ ∈ NN cord-155475-is3su3ga 40 12 E e NN cord-155475-is3su3ga 40 13 } } -RRB- cord-155475-is3su3ga 40 14 . . . cord-155475-is3su3ga 41 1 The the DT cord-155475-is3su3ga 41 2 size size NN cord-155475-is3su3ga 41 3 of of IN cord-155475-is3su3ga 41 4 N n NN cord-155475-is3su3ga 41 5 i i PRP cord-155475-is3su3ga 41 6 equals equal VBZ cord-155475-is3su3ga 41 7 to to IN cord-155475-is3su3ga 41 8 the the DT cord-155475-is3su3ga 41 9 node node NN cord-155475-is3su3ga 41 10 degree degree NN cord-155475-is3su3ga 41 11 , , , cord-155475-is3su3ga 41 12 i.e. i.e. FW cord-155475-is3su3ga 41 13 |N |N NNP cord-155475-is3su3ga 41 14 i i NNP cord-155475-is3su3ga 41 15 | | NNP cord-155475-is3su3ga 41 16 = = SYM cord-155475-is3su3ga 41 17 d d NNP cord-155475-is3su3ga 41 18 i i NN cord-155475-is3su3ga 41 19 = = SYM cord-155475-is3su3ga 41 20 j j NNP cord-155475-is3su3ga 41 21 A A NNP cord-155475-is3su3ga 41 22 ji ji NNP cord-155475-is3su3ga 41 23 . . . cord-155475-is3su3ga 42 1 We -PRON- PRP cord-155475-is3su3ga 42 2 also also RB cord-155475-is3su3ga 42 3 denote denote VBP cord-155475-is3su3ga 42 4 the the DT cord-155475-is3su3ga 42 5 indicator indicator NN cord-155475-is3su3ga 42 6 function function NN cord-155475-is3su3ga 42 7 by by IN cord-155475-is3su3ga 42 8 1 1 CD cord-155475-is3su3ga 42 9 { { -LRB- cord-155475-is3su3ga 42 10 · · NFP cord-155475-is3su3ga 42 11 } } -RRB- cord-155475-is3su3ga 42 12 . . . cord-155475-is3su3ga 43 1 The the DT cord-155475-is3su3ga 43 2 standard standard JJ cord-155475-is3su3ga 43 3 continuous continuous JJ cord-155475-is3su3ga 43 4 - - HYPH cord-155475-is3su3ga 43 5 time time NN cord-155475-is3su3ga 43 6 homogeneous homogeneous JJ cord-155475-is3su3ga 43 7 SIS SIS NNP cord-155475-is3su3ga 43 8 model model NN cord-155475-is3su3ga 43 9 describes describe VBZ cord-155475-is3su3ga 43 10 the the DT cord-155475-is3su3ga 43 11 spread spread NN cord-155475-is3su3ga 43 12 of of IN cord-155475-is3su3ga 43 13 a a DT cord-155475-is3su3ga 43 14 disease disease NN cord-155475-is3su3ga 43 15 over over IN cord-155475-is3su3ga 43 16 a a DT cord-155475-is3su3ga 43 17 graph graph NN cord-155475-is3su3ga 43 18 , , , cord-155475-is3su3ga 43 19 where where WRB cord-155475-is3su3ga 43 20 each each DT cord-155475-is3su3ga 43 21 node node NN cord-155475-is3su3ga 43 22 i i PRP cord-155475-is3su3ga 43 23 represents represent VBZ cord-155475-is3su3ga 43 24 an an DT cord-155475-is3su3ga 43 25 individual individual NN cord-155475-is3su3ga 43 26 that that WDT cord-155475-is3su3ga 43 27 can can MD cord-155475-is3su3ga 43 28 be be VB cord-155475-is3su3ga 43 29 in in IN cord-155475-is3su3ga 43 30 either either CC cord-155475-is3su3ga 43 31 the the DT cord-155475-is3su3ga 43 32 susceptible susceptible JJ cord-155475-is3su3ga 43 33 or or CC cord-155475-is3su3ga 43 34 the the DT cord-155475-is3su3ga 43 35 infected infected JJ cord-155475-is3su3ga 43 36 state state NN cord-155475-is3su3ga 43 37 : : : cord-155475-is3su3ga 44 1 X X NNP cord-155475-is3su3ga 44 2 i i PRP cord-155475-is3su3ga 44 3 ( ( -LRB- cord-155475-is3su3ga 44 4 t t NN cord-155475-is3su3ga 44 5 ) ) -RRB- cord-155475-is3su3ga 44 6 = = SYM cord-155475-is3su3ga 44 7 0 0 CD cord-155475-is3su3ga 44 8 or or CC cord-155475-is3su3ga 44 9 1 1 CD cord-155475-is3su3ga 44 10 , , , cord-155475-is3su3ga 44 11 respectively respectively RB cord-155475-is3su3ga 44 12 ) ) -RRB- cord-155475-is3su3ga 44 13 . . . cord-155475-is3su3ga 45 1 The the DT cord-155475-is3su3ga 45 2 system system NN cord-155475-is3su3ga 45 3 at at IN cord-155475-is3su3ga 45 4 time time NN cord-155475-is3su3ga 45 5 t t NNP cord-155475-is3su3ga 45 6 is be VBZ cord-155475-is3su3ga 45 7 hence hence RB cord-155475-is3su3ga 45 8 globally globally RB cord-155475-is3su3ga 45 9 represented represent VBN cord-155475-is3su3ga 45 10 by by IN cord-155475-is3su3ga 45 11 the the DT cord-155475-is3su3ga 45 12 node node NN cord-155475-is3su3ga 45 13 state state NN cord-155475-is3su3ga 45 14 vector vector NN cord-155475-is3su3ga 45 15 X(t X(t NNP cord-155475-is3su3ga 45 16 ) ) -RRB- cord-155475-is3su3ga 45 17 ∈ ∈ VB cord-155475-is3su3ga 45 18 { { -LRB- cord-155475-is3su3ga 45 19 0 0 CD cord-155475-is3su3ga 45 20 , , , cord-155475-is3su3ga 45 21 1 1 CD cord-155475-is3su3ga 45 22 } } -RRB- cord-155475-is3su3ga 45 23 N n NN cord-155475-is3su3ga 45 24 . . . cord-155475-is3su3ga 46 1 The the DT cord-155475-is3su3ga 46 2 state state NN cord-155475-is3su3ga 46 3 of of IN cord-155475-is3su3ga 46 4 a a DT cord-155475-is3su3ga 46 5 specific specific JJ cord-155475-is3su3ga 46 6 node node NN cord-155475-is3su3ga 46 7 i i PRP cord-155475-is3su3ga 46 8 evolves evolve VBZ cord-155475-is3su3ga 46 9 according accord VBG cord-155475-is3su3ga 46 10 to to IN cord-155475-is3su3ga 46 11 the the DT cord-155475-is3su3ga 46 12 following following JJ cord-155475-is3su3ga 46 13 stochastic stochastic JJ cord-155475-is3su3ga 46 14 transition transition NN cord-155475-is3su3ga 46 15 rates rate NNS cord-155475-is3su3ga 46 16 : : : cord-155475-is3su3ga 46 17 where where WRB cord-155475-is3su3ga 46 18 the the DT cord-155475-is3su3ga 46 19 parameters parameter NNS cord-155475-is3su3ga 46 20 β β NNP cord-155475-is3su3ga 46 21 , , , cord-155475-is3su3ga 46 22 δ δ NN cord-155475-is3su3ga 46 23 are be VBP cord-155475-is3su3ga 46 24 the the DT cord-155475-is3su3ga 46 25 transition transition NN cord-155475-is3su3ga 46 26 rates rate NNS cord-155475-is3su3ga 46 27 encoding encode VBG cord-155475-is3su3ga 46 28 respectively respectively RB cord-155475-is3su3ga 46 29 the the DT cord-155475-is3su3ga 46 30 infection infection NN cord-155475-is3su3ga 46 31 aggressiveness aggressiveness NN cord-155475-is3su3ga 46 32 and and CC cord-155475-is3su3ga 46 33 self self NN cord-155475-is3su3ga 46 34 - - HYPH cord-155475-is3su3ga 46 35 recovery recovery NN cord-155475-is3su3ga 46 36 capability capability NN cord-155475-is3su3ga 46 37 of of IN cord-155475-is3su3ga 46 38 nodes node NNS cord-155475-is3su3ga 46 39 . . . cord-155475-is3su3ga 47 1 The the DT cord-155475-is3su3ga 47 2 epidemic epidemic NN cord-155475-is3su3ga 47 3 control control NN cord-155475-is3su3ga 47 4 is be VBZ cord-155475-is3su3ga 47 5 realized realize VBN cord-155475-is3su3ga 47 6 by by IN cord-155475-is3su3ga 47 7 the the DT cord-155475-is3su3ga 47 8 resource resource NN cord-155475-is3su3ga 47 9 allocation allocation NN cord-155475-is3su3ga 47 10 vector vector NN cord-155475-is3su3ga 47 11 R(t r(t NN cord-155475-is3su3ga 47 12 ) ) -RRB- cord-155475-is3su3ga 47 13 ∈ ∈ NN cord-155475-is3su3ga 47 14 { { -LRB- cord-155475-is3su3ga 47 15 0 0 CD cord-155475-is3su3ga 47 16 , , , cord-155475-is3su3ga 47 17 1 1 CD cord-155475-is3su3ga 47 18 } } -RRB- cord-155475-is3su3ga 47 19 N n CD cord-155475-is3su3ga 47 20 , , , cord-155475-is3su3ga 48 1 whose whose WP$ cord-155475-is3su3ga 48 2 coordinate coordinate NNP cord-155475-is3su3ga 48 3 R R NNP cord-155475-is3su3ga 48 4 i i NN cord-155475-is3su3ga 48 5 ( ( -LRB- cord-155475-is3su3ga 48 6 t t NN cord-155475-is3su3ga 48 7 ) ) -RRB- cord-155475-is3su3ga 48 8 = = SYM cord-155475-is3su3ga 48 9 1 1 CD cord-155475-is3su3ga 48 10 iff iff NN cord-155475-is3su3ga 48 11 we -PRON- PRP cord-155475-is3su3ga 48 12 heal heal VBP cord-155475-is3su3ga 48 13 node node NN cord-155475-is3su3ga 48 14 i i PRP cord-155475-is3su3ga 48 15 at at IN cord-155475-is3su3ga 48 16 time time NN cord-155475-is3su3ga 48 17 t t NNP cord-155475-is3su3ga 48 18 , , , cord-155475-is3su3ga 48 19 and and CC cord-155475-is3su3ga 49 1 0 0 NFP cord-155475-is3su3ga 49 2 otherwise otherwise RB cord-155475-is3su3ga 49 3 . . . cord-155475-is3su3ga 50 1 Finally finally RB cord-155475-is3su3ga 50 2 , , , cord-155475-is3su3ga 50 3 ρ ρ NNP cord-155475-is3su3ga 50 4 is be VBZ cord-155475-is3su3ga 50 5 the the DT cord-155475-is3su3ga 50 6 increase increase NN cord-155475-is3su3ga 50 7 in in IN cord-155475-is3su3ga 50 8 recovery recovery NN cord-155475-is3su3ga 50 9 rate rate NN cord-155475-is3su3ga 50 10 when when WRB cord-155475-is3su3ga 50 11 a a DT cord-155475-is3su3ga 50 12 node node NN cord-155475-is3su3ga 50 13 receives receive VBZ cord-155475-is3su3ga 50 14 a a DT cord-155475-is3su3ga 50 15 resource resource NN cord-155475-is3su3ga 50 16 unit unit NN cord-155475-is3su3ga 50 17 ( ( -LRB- cord-155475-is3su3ga 50 18 thought think VBN cord-155475-is3su3ga 50 19 as as IN cord-155475-is3su3ga 50 20 treatment treatment NN cord-155475-is3su3ga 50 21 ) ) -RRB- cord-155475-is3su3ga 50 22 . . . cord-155475-is3su3ga 51 1 A a DT cord-155475-is3su3ga 51 2 generic generic JJ cord-155475-is3su3ga 51 3 two two CD cord-155475-is3su3ga 51 4 - - HYPH cord-155475-is3su3ga 51 5 state state NN cord-155475-is3su3ga 51 6 recurrent recurrent JJ cord-155475-is3su3ga 51 7 model model NN cord-155475-is3su3ga 51 8 . . . cord-155475-is3su3ga 52 1 In in IN cord-155475-is3su3ga 52 2 this this DT cord-155475-is3su3ga 52 3 paper paper NN cord-155475-is3su3ga 52 4 we -PRON- PRP cord-155475-is3su3ga 52 5 study study VBP cord-155475-is3su3ga 52 6 the the DT cord-155475-is3su3ga 52 7 dynamic dynamic JJ cord-155475-is3su3ga 52 8 epidemic epidemic NN cord-155475-is3su3ga 52 9 suppression suppression NN cord-155475-is3su3ga 52 10 problem problem NN cord-155475-is3su3ga 52 11 by by IN cord-155475-is3su3ga 52 12 first first RB cord-155475-is3su3ga 52 13 introducing introduce VBG cord-155475-is3su3ga 52 14 the the DT cord-155475-is3su3ga 52 15 following follow VBG cord-155475-is3su3ga 52 16 generic generic JJ cord-155475-is3su3ga 52 17 two two CD cord-155475-is3su3ga 52 18 - - HYPH cord-155475-is3su3ga 52 19 states state NNS cord-155475-is3su3ga 52 20 Markovian markovian JJ cord-155475-is3su3ga 52 21 process process NN cord-155475-is3su3ga 52 22 : : : cord-155475-is3su3ga 53 1 ( ( -LRB- cord-155475-is3su3ga 53 2 II.2 ii.2 NN cord-155475-is3su3ga 53 3 ) ) -RRB- cord-155475-is3su3ga 54 1 I -PRON- PRP cord-155475-is3su3ga 55 1 i i PRP cord-155475-is3su3ga 55 2 and and CC cord-155475-is3su3ga 55 3 H H NNP cord-155475-is3su3ga 55 4 i i PRP cord-155475-is3su3ga 55 5 are be VBP cord-155475-is3su3ga 55 6 two two CD cord-155475-is3su3ga 55 7 node node NN cord-155475-is3su3ga 55 8 - - HYPH cord-155475-is3su3ga 55 9 specific specific JJ cord-155475-is3su3ga 55 10 memoryless memoryless JJ cord-155475-is3su3ga 55 11 functions function NNS cord-155475-is3su3ga 55 12 ; ; : cord-155475-is3su3ga 55 13 respectively respectively RB cord-155475-is3su3ga 55 14 the the DT cord-155475-is3su3ga 55 15 infection infection NN cord-155475-is3su3ga 55 16 rate rate NN cord-155475-is3su3ga 55 17 function function NN cord-155475-is3su3ga 55 18 and and CC cord-155475-is3su3ga 55 19 recovery recovery NN cord-155475-is3su3ga 55 20 rate rate NN cord-155475-is3su3ga 55 21 function function NN cord-155475-is3su3ga 55 22 for for IN cord-155475-is3su3ga 55 23 node node NN cord-155475-is3su3ga 55 24 i. i. NN cord-155475-is3su3ga 56 1 The the DT cord-155475-is3su3ga 56 2 rate rate NN cord-155475-is3su3ga 56 3 functions function NNS cord-155475-is3su3ga 56 4 depend depend VBP cord-155475-is3su3ga 56 5 on on IN cord-155475-is3su3ga 56 6 the the DT cord-155475-is3su3ga 56 7 current current JJ cord-155475-is3su3ga 56 8 overall overall JJ cord-155475-is3su3ga 56 9 network network NN cord-155475-is3su3ga 56 10 state state NN cord-155475-is3su3ga 56 11 X(t X(t NNP cord-155475-is3su3ga 56 12 ) ) -RRB- cord-155475-is3su3ga 56 13 and and CC cord-155475-is3su3ga 56 14 implicitly implicitly RB cord-155475-is3su3ga 56 15 on on IN cord-155475-is3su3ga 56 16 the the DT cord-155475-is3su3ga 56 17 network network NN cord-155475-is3su3ga 56 18 structure structure NN cord-155475-is3su3ga 56 19 ( ( -LRB- cord-155475-is3su3ga 56 20 we -PRON- PRP cord-155475-is3su3ga 56 21 omit omit VBP cord-155475-is3su3ga 56 22 this this DT cord-155475-is3su3ga 56 23 dependency dependency NN cord-155475-is3su3ga 56 24 in in IN cord-155475-is3su3ga 56 25 our -PRON- PRP$ cord-155475-is3su3ga 56 26 notation notation NN cord-155475-is3su3ga 56 27 ) ) -RRB- cord-155475-is3su3ga 56 28 . . . cord-155475-is3su3ga 57 1 A a DT cord-155475-is3su3ga 57 2 Markovian Markovian NNP cord-155475-is3su3ga 57 3 Poisson Poisson NNP cord-155475-is3su3ga 57 4 process process NN cord-155475-is3su3ga 57 5 can can MD cord-155475-is3su3ga 57 6 be be VB cord-155475-is3su3ga 57 7 recovered recover VBN cord-155475-is3su3ga 57 8 using use VBG cord-155475-is3su3ga 57 9 the the DT cord-155475-is3su3ga 57 10 rate rate NN cord-155475-is3su3ga 57 11 functions function NNS cord-155475-is3su3ga 57 12 of of IN cord-155475-is3su3ga 57 13 Eq Eq NNP cord-155475-is3su3ga 57 14 . . . cord-155475-is3su3ga 58 1 II.2 ii.2 IN cord-155475-is3su3ga 58 2 as as IN cord-155475-is3su3ga 58 3 follows follow VBZ cord-155475-is3su3ga 58 4 : : : cord-155475-is3su3ga 59 1 In in IN cord-155475-is3su3ga 59 2 the the DT cord-155475-is3su3ga 59 3 Dynamic Dynamic NNP cord-155475-is3su3ga 59 4 Resource Resource NNP cord-155475-is3su3ga 59 5 Allocation Allocation NNP cord-155475-is3su3ga 59 6 ( ( -LRB- cord-155475-is3su3ga 59 7 DRA DRA NNP cord-155475-is3su3ga 59 8 ) ) -RRB- cord-155475-is3su3ga 59 9 problem problem NN cord-155475-is3su3ga 59 10 [ [ -LRB- cord-155475-is3su3ga 59 11 9 9 CD cord-155475-is3su3ga 59 12 , , , cord-155475-is3su3ga 59 13 11 11 CD cord-155475-is3su3ga 59 14 ] ] -RRB- cord-155475-is3su3ga 59 15 , , , cord-155475-is3su3ga 59 16 the the DT cord-155475-is3su3ga 59 17 objective objective NN cord-155475-is3su3ga 59 18 is be VBZ cord-155475-is3su3ga 59 19 to to TO cord-155475-is3su3ga 59 20 administer administer VB cord-155475-is3su3ga 59 21 a a DT cord-155475-is3su3ga 59 22 budget budget NN cord-155475-is3su3ga 59 23 of of IN cord-155475-is3su3ga 59 24 b b NN cord-155475-is3su3ga 59 25 treatment treatment NN cord-155475-is3su3ga 59 26 resources resource NNS cord-155475-is3su3ga 59 27 , , , cord-155475-is3su3ga 59 28 each each DT cord-155475-is3su3ga 59 29 of of IN cord-155475-is3su3ga 59 30 them -PRON- PRP cord-155475-is3su3ga 59 31 of of IN cord-155475-is3su3ga 59 32 strength strength NN cord-155475-is3su3ga 59 33 ρ ρ NNP cord-155475-is3su3ga 59 34 , , , cord-155475-is3su3ga 59 35 in in IN cord-155475-is3su3ga 59 36 order order NN cord-155475-is3su3ga 59 37 to to TO cord-155475-is3su3ga 59 38 suppress suppress VB cord-155475-is3su3ga 59 39 an an DT cord-155475-is3su3ga 59 40 undesired undesired JJ cord-155475-is3su3ga 59 41 states state NNS cord-155475-is3su3ga 59 42 diffusion diffusion NN cord-155475-is3su3ga 59 43 . . . cord-155475-is3su3ga 60 1 The the DT cord-155475-is3su3ga 60 2 treatments treatment NNS cord-155475-is3su3ga 60 3 can can MD cord-155475-is3su3ga 60 4 not not RB cord-155475-is3su3ga 60 5 be be VB cord-155475-is3su3ga 60 6 stored store VBN cord-155475-is3su3ga 60 7 and and CC cord-155475-is3su3ga 60 8 their -PRON- PRP$ cord-155475-is3su3ga 60 9 efficiency efficiency NN cord-155475-is3su3ga 60 10 is be VBZ cord-155475-is3su3ga 60 11 limited limit VBN cord-155475-is3su3ga 60 12 to to IN cord-155475-is3su3ga 60 13 a a DT cord-155475-is3su3ga 60 14 certain certain JJ cord-155475-is3su3ga 60 15 value value NN cord-155475-is3su3ga 60 16 . . . cord-155475-is3su3ga 61 1 In in IN cord-155475-is3su3ga 61 2 [ [ -LRB- cord-155475-is3su3ga 61 3 9 9 CD cord-155475-is3su3ga 61 4 ] ] -RRB- cord-155475-is3su3ga 61 5 , , , cord-155475-is3su3ga 61 6 a a DT cord-155475-is3su3ga 61 7 greedy greedy JJ cord-155475-is3su3ga 61 8 dynamic dynamic JJ cord-155475-is3su3ga 61 9 score score NN cord-155475-is3su3ga 61 10 - - HYPH cord-155475-is3su3ga 61 11 based base VBN cord-155475-is3su3ga 61 12 strategy strategy NN cord-155475-is3su3ga 61 13 is be VBZ cord-155475-is3su3ga 61 14 developed develop VBN cord-155475-is3su3ga 61 15 , , , cord-155475-is3su3ga 61 16 called call VBN cord-155475-is3su3ga 61 17 Largest large JJS cord-155475-is3su3ga 61 18 Reduction Reduction NNP cord-155475-is3su3ga 61 19 of of IN cord-155475-is3su3ga 61 20 Infectious infectious JJ cord-155475-is3su3ga 61 21 Edges Edges NNPS cord-155475-is3su3ga 61 22 ( ( -LRB- cord-155475-is3su3ga 61 23 LRIE LRIE NNP cord-155475-is3su3ga 61 24 ) ) -RRB- cord-155475-is3su3ga 61 25 , , , cord-155475-is3su3ga 61 26 in in IN cord-155475-is3su3ga 61 27 order order NN cord-155475-is3su3ga 61 28 to to TO cord-155475-is3su3ga 61 29 address address VB cord-155475-is3su3ga 61 30 the the DT cord-155475-is3su3ga 61 31 DRA DRA NNP cord-155475-is3su3ga 61 32 problem problem NN cord-155475-is3su3ga 61 33 . . . cord-155475-is3su3ga 62 1 Specifically specifically RB cord-155475-is3su3ga 62 2 , , , cord-155475-is3su3ga 62 3 each each DT cord-155475-is3su3ga 62 4 node node NN cord-155475-is3su3ga 62 5 is be VBZ cord-155475-is3su3ga 62 6 associated associate VBN cord-155475-is3su3ga 62 7 with with IN cord-155475-is3su3ga 62 8 a a DT cord-155475-is3su3ga 62 9 score score NN cord-155475-is3su3ga 62 10 quantifying quantify VBG cord-155475-is3su3ga 62 11 how how WRB cord-155475-is3su3ga 62 12 critical critical JJ cord-155475-is3su3ga 62 13 it -PRON- PRP cord-155475-is3su3ga 62 14 is be VBZ cord-155475-is3su3ga 62 15 for for IN cord-155475-is3su3ga 62 16 further further RB cord-155475-is3su3ga 62 17 spreading spread VBG cord-155475-is3su3ga 62 18 the the DT cord-155475-is3su3ga 62 19 infection infection NN cord-155475-is3su3ga 62 20 of of IN cord-155475-is3su3ga 62 21 the the DT cord-155475-is3su3ga 62 22 standard standard JJ cord-155475-is3su3ga 62 23 SIS SIS NNP cord-155475-is3su3ga 62 24 model model NN cord-155475-is3su3ga 62 25 , , , cord-155475-is3su3ga 62 26 Eq Eq NNP cord-155475-is3su3ga 62 27 . . . cord-155475-is3su3ga 63 1 ( ( -LRB- cord-155475-is3su3ga 63 2 II.1 II.1 NNP cord-155475-is3su3ga 63 3 ) ) -RRB- cord-155475-is3su3ga 63 4 . . . cord-155475-is3su3ga 64 1 Other other JJ cord-155475-is3su3ga 64 2 score score NN cord-155475-is3su3ga 64 3 - - HYPH cord-155475-is3su3ga 64 4 based base VBN cord-155475-is3su3ga 64 5 solutions solution NNS cord-155475-is3su3ga 64 6 have have VBP cord-155475-is3su3ga 64 7 been be VBN cord-155475-is3su3ga 64 8 proposed propose VBN cord-155475-is3su3ga 64 9 , , , cord-155475-is3su3ga 64 10 e.g. e.g. RB cord-155475-is3su3ga 64 11 based base VBN cord-155475-is3su3ga 64 12 on on IN cord-155475-is3su3ga 64 13 fixed fix VBN cord-155475-is3su3ga 64 14 priority priority NN cord-155475-is3su3ga 64 15 planning planning NN cord-155475-is3su3ga 64 16 [ [ -LRB- cord-155475-is3su3ga 64 17 11 11 CD cord-155475-is3su3ga 64 18 ] ] -RRB- cord-155475-is3su3ga 64 19 , , , cord-155475-is3su3ga 64 20 or or CC cord-155475-is3su3ga 64 21 static static JJ cord-155475-is3su3ga 64 22 ones one NNS cord-155475-is3su3ga 64 23 based base VBN cord-155475-is3su3ga 64 24 on on IN cord-155475-is3su3ga 64 25 spectral spectral JJ cord-155475-is3su3ga 64 26 analysis analysis NN cord-155475-is3su3ga 64 27 [ [ -LRB- cord-155475-is3su3ga 64 28 8 8 CD cord-155475-is3su3ga 64 29 ] ] -RRB- cord-155475-is3su3ga 65 1 ( ( -LRB- cord-155475-is3su3ga 65 2 see see VB cord-155475-is3su3ga 65 3 details detail NNS cord-155475-is3su3ga 65 4 in in IN cord-155475-is3su3ga 65 5 Sec Sec NNP cord-155475-is3su3ga 65 6 . . . cord-155475-is3su3ga 66 1 IV IV NNP cord-155475-is3su3ga 66 2 ) ) -RRB- cord-155475-is3su3ga 66 3 . . . cord-155475-is3su3ga 67 1 The the DT cord-155475-is3su3ga 67 2 proposed propose VBN cord-155475-is3su3ga 67 3 Generalized Generalized NNP cord-155475-is3su3ga 67 4 Largest large JJS cord-155475-is3su3ga 67 5 Reduction Reduction NNP cord-155475-is3su3ga 67 6 in in IN cord-155475-is3su3ga 67 7 Infectious infectious JJ cord-155475-is3su3ga 67 8 Edges Edges NNPS cord-155475-is3su3ga 67 9 ( ( -LRB- cord-155475-is3su3ga 67 10 gLRIE gLRIE NNP cord-155475-is3su3ga 67 11 ) ) -RRB- cord-155475-is3su3ga 67 12 strategy strategy NN cord-155475-is3su3ga 67 13 , , , cord-155475-is3su3ga 67 14 each each DT cord-155475-is3su3ga 67 15 time time NN cord-155475-is3su3ga 67 16 identifies identify VBZ cord-155475-is3su3ga 67 17 and and CC cord-155475-is3su3ga 67 18 targets target VBZ cord-155475-is3su3ga 67 19 the the DT cord-155475-is3su3ga 67 20 most most RBS cord-155475-is3su3ga 67 21 critical critical JJ cord-155475-is3su3ga 67 22 nodes node NNS cord-155475-is3su3ga 67 23 in in IN cord-155475-is3su3ga 67 24 order order NN cord-155475-is3su3ga 67 25 reduce reduce VB cord-155475-is3su3ga 67 26 the the DT cord-155475-is3su3ga 67 27 disease disease NN cord-155475-is3su3ga 67 28 in in IN cord-155475-is3su3ga 67 29 as as RB cord-155475-is3su3ga 67 30 quickly quickly RB cord-155475-is3su3ga 67 31 as as IN cord-155475-is3su3ga 67 32 possible possible JJ cord-155475-is3su3ga 67 33 . . . cord-155475-is3su3ga 68 1 The the DT cord-155475-is3su3ga 68 2 idea idea NN cord-155475-is3su3ga 68 3 generalizes generalize VBZ cord-155475-is3su3ga 68 4 the the DT cord-155475-is3su3ga 68 5 one one NN cord-155475-is3su3ga 68 6 introduced introduce VBN cord-155475-is3su3ga 68 7 in in IN cord-155475-is3su3ga 68 8 [ [ -LRB- cord-155475-is3su3ga 68 9 9 9 CD cord-155475-is3su3ga 68 10 ] ] -RRB- cord-155475-is3su3ga 68 11 as as IN cord-155475-is3su3ga 68 12 it -PRON- PRP cord-155475-is3su3ga 68 13 to to IN cord-155475-is3su3ga 68 14 a a DT cord-155475-is3su3ga 68 15 wider wide JJR cord-155475-is3su3ga 68 16 range range NN cord-155475-is3su3ga 68 17 of of IN cord-155475-is3su3ga 68 18 models model NNS cord-155475-is3su3ga 68 19 . . . cord-155475-is3su3ga 69 1 Let let VB cord-155475-is3su3ga 69 2 N n NN cord-155475-is3su3ga 69 3 I -PRON- PRP cord-155475-is3su3ga 69 4 ( ( -LRB- cord-155475-is3su3ga 69 5 t t NN cord-155475-is3su3ga 69 6 ) ) -RRB- cord-155475-is3su3ga 69 7 . . . cord-155475-is3su3ga 70 1 = = NFP cord-155475-is3su3ga 71 1 i i PRP cord-155475-is3su3ga 72 1 X X NNP cord-155475-is3su3ga 72 2 i i PRP cord-155475-is3su3ga 72 3 ( ( -LRB- cord-155475-is3su3ga 72 4 t t NN cord-155475-is3su3ga 72 5 ) ) -RRB- cord-155475-is3su3ga 72 6 be be VB cord-155475-is3su3ga 72 7 the the DT cord-155475-is3su3ga 72 8 number number NN cord-155475-is3su3ga 72 9 of of IN cord-155475-is3su3ga 72 10 infected infected JJ cord-155475-is3su3ga 72 11 nodes node NNS cord-155475-is3su3ga 72 12 at at IN cord-155475-is3su3ga 72 13 time time NN cord-155475-is3su3ga 73 1 t. t. NNP cord-155475-is3su3ga 74 1 In in IN cord-155475-is3su3ga 74 2 a a DT cord-155475-is3su3ga 74 3 Markovian Markovian NNP cord-155475-is3su3ga 74 4 setting setting NN cord-155475-is3su3ga 74 5 , , , cord-155475-is3su3ga 74 6 given give VBN cord-155475-is3su3ga 74 7 the the DT cord-155475-is3su3ga 74 8 state state NN cord-155475-is3su3ga 74 9 of of IN cord-155475-is3su3ga 74 10 the the DT cord-155475-is3su3ga 74 11 population population NN cord-155475-is3su3ga 74 12 X x NN cord-155475-is3su3ga 74 13 at at IN cord-155475-is3su3ga 74 14 time time NN cord-155475-is3su3ga 74 15 t t NN cord-155475-is3su3ga 74 16 , , , cord-155475-is3su3ga 74 17 the the DT cord-155475-is3su3ga 74 18 best good JJS cord-155475-is3su3ga 74 19 intervention intervention NN cord-155475-is3su3ga 74 20 with with IN cord-155475-is3su3ga 74 21 respect respect NN cord-155475-is3su3ga 74 22 to to IN cord-155475-is3su3ga 74 23 the the DT cord-155475-is3su3ga 74 24 resource resource NN cord-155475-is3su3ga 74 25 allocation allocation NN cord-155475-is3su3ga 74 26 vector vector NN cord-155475-is3su3ga 74 27 R r NN cord-155475-is3su3ga 74 28 would would MD cord-155475-is3su3ga 74 29 minimize minimize VB cord-155475-is3su3ga 74 30 the the DT cord-155475-is3su3ga 74 31 following follow VBG cord-155475-is3su3ga 74 32 cost cost NN cord-155475-is3su3ga 74 33 function function NN cord-155475-is3su3ga 74 34 : : : cord-155475-is3su3ga 74 35 where where WRB cord-155475-is3su3ga 74 36 γ γ NN cord-155475-is3su3ga 74 37 can can MD cord-155475-is3su3ga 74 38 be be VB cord-155475-is3su3ga 74 39 chosen choose VBN cord-155475-is3su3ga 74 40 so so IN cord-155475-is3su3ga 74 41 as as IN cord-155475-is3su3ga 74 42 to to TO cord-155475-is3su3ga 74 43 give give VB cord-155475-is3su3ga 74 44 emphasis emphasis NN cord-155475-is3su3ga 74 45 on on IN cord-155475-is3su3ga 74 46 short short JJ cord-155475-is3su3ga 74 47 - - HYPH cord-155475-is3su3ga 74 48 term term NN cord-155475-is3su3ga 74 49 effects effect NNS cord-155475-is3su3ga 74 50 [ [ -LRB- cord-155475-is3su3ga 74 51 12 12 CD cord-155475-is3su3ga 74 52 , , , cord-155475-is3su3ga 74 53 13 13 CD cord-155475-is3su3ga 74 54 ] ] -RRB- cord-155475-is3su3ga 74 55 . . . cord-155475-is3su3ga 75 1 Expanding expand VBG cord-155475-is3su3ga 75 2 in in IN cord-155475-is3su3ga 75 3 series series NN cord-155475-is3su3ga 75 4 with with IN cord-155475-is3su3ga 75 5 respect respect NN cord-155475-is3su3ga 75 6 to to IN cord-155475-is3su3ga 75 7 u u NNP cord-155475-is3su3ga 75 8 , , , cord-155475-is3su3ga 75 9 yields yield NNS cord-155475-is3su3ga 75 10 : : : cord-155475-is3su3ga 76 1 The the DT cord-155475-is3su3ga 76 2 detailed detailed JJ cord-155475-is3su3ga 76 3 evaluation evaluation NN cord-155475-is3su3ga 76 4 of of IN cord-155475-is3su3ga 76 5 the the DT cord-155475-is3su3ga 76 6 three three CD cord-155475-is3su3ga 76 7 terms term NNS cord-155475-is3su3ga 76 8 can can MD cord-155475-is3su3ga 76 9 be be VB cord-155475-is3su3ga 76 10 found find VBN cord-155475-is3su3ga 76 11 in in IN cord-155475-is3su3ga 76 12 the the DT cord-155475-is3su3ga 76 13 Supplementary Supplementary NNP cord-155475-is3su3ga 76 14 Material Material NNP cord-155475-is3su3ga 76 15 1 1 CD cord-155475-is3su3ga 76 16 . . . cord-155475-is3su3ga 77 1 Here here RB cord-155475-is3su3ga 77 2 , , , cord-155475-is3su3ga 77 3 though though RB cord-155475-is3su3ga 77 4 , , , cord-155475-is3su3ga 77 5 we -PRON- PRP cord-155475-is3su3ga 77 6 present present VBP cord-155475-is3su3ga 77 7 the the DT cord-155475-is3su3ga 77 8 final final JJ cord-155475-is3su3ga 77 9 results result NNS cord-155475-is3su3ga 77 10 . . . cord-155475-is3su3ga 78 1 To to TO cord-155475-is3su3ga 78 2 simplify simplify VB cord-155475-is3su3ga 78 3 our -PRON- PRP$ cord-155475-is3su3ga 78 4 notation notation NN cord-155475-is3su3ga 78 5 , , , cord-155475-is3su3ga 78 6 we -PRON- PRP cord-155475-is3su3ga 78 7 denote denote VBP cord-155475-is3su3ga 78 8 the the DT cord-155475-is3su3ga 78 9 updated update VBN cord-155475-is3su3ga 78 10 transition transition NN cord-155475-is3su3ga 78 11 rate rate NN cord-155475-is3su3ga 78 12 of of IN cord-155475-is3su3ga 78 13 node node NN cord-155475-is3su3ga 78 14 j j NNP cord-155475-is3su3ga 78 15 if if IN cord-155475-is3su3ga 78 16 node node NN cord-155475-is3su3ga 78 17 i i PRP cord-155475-is3su3ga 78 18 is be VBZ cord-155475-is3su3ga 78 19 considered consider VBN cord-155475-is3su3ga 78 20 healthy healthy JJ cord-155475-is3su3ga 78 21 , , , cord-155475-is3su3ga 78 22 respectively respectively RB cord-155475-is3su3ga 78 23 : : : cord-155475-is3su3ga 78 24 for for IN cord-155475-is3su3ga 78 25 the the DT cord-155475-is3su3ga 78 26 positive positive JJ cord-155475-is3su3ga 78 27 diffusion diffusion NN cord-155475-is3su3ga 78 28 by by IN cord-155475-is3su3ga 78 29 We -PRON- PRP cord-155475-is3su3ga 78 30 define define VBP cord-155475-is3su3ga 78 31 accordingly accordingly RB cord-155475-is3su3ga 78 32 the the DT cord-155475-is3su3ga 78 33 differences difference NNS cord-155475-is3su3ga 78 34 in in IN cord-155475-is3su3ga 78 35 these these DT cord-155475-is3su3ga 78 36 rates rate NNS cord-155475-is3su3ga 78 37 : : : cord-155475-is3su3ga 79 1 Then then RB cord-155475-is3su3ga 79 2 , , , cord-155475-is3su3ga 79 3 the the DT cord-155475-is3su3ga 79 4 final final JJ cord-155475-is3su3ga 79 5 forms form NNS cord-155475-is3su3ga 79 6 of of IN cord-155475-is3su3ga 79 7 the the DT cord-155475-is3su3ga 79 8 derivatives derivative NNS cord-155475-is3su3ga 79 9 are be VBP cord-155475-is3su3ga 79 10 : : : cord-155475-is3su3ga 79 11 In in IN cord-155475-is3su3ga 79 12 the the DT cord-155475-is3su3ga 79 13 third third JJ cord-155475-is3su3ga 79 14 equation equation NN cord-155475-is3su3ga 79 15 , , , cord-155475-is3su3ga 79 16 and and CC cord-155475-is3su3ga 79 17 since since IN cord-155475-is3su3ga 79 18 our -PRON- PRP$ cord-155475-is3su3ga 79 19 purpose purpose NN cord-155475-is3su3ga 79 20 is be VBZ cord-155475-is3su3ga 79 21 to to TO cord-155475-is3su3ga 79 22 minimize minimize VB cord-155475-is3su3ga 79 23 Eq Eq NNP cord-155475-is3su3ga 79 24 . . . cord-155475-is3su3ga 80 1 III.1 III.1 NNP cord-155475-is3su3ga 81 1 with with IN cord-155475-is3su3ga 81 2 respect respect NN cord-155475-is3su3ga 81 3 to to IN cord-155475-is3su3ga 81 4 R r NN cord-155475-is3su3ga 81 5 i i PRP cord-155475-is3su3ga 81 6 , , , cord-155475-is3su3ga 81 7 we -PRON- PRP cord-155475-is3su3ga 81 8 let let VBP cord-155475-is3su3ga 81 9 the the DT cord-155475-is3su3ga 81 10 terms term NNS cord-155475-is3su3ga 81 11 that that WDT cord-155475-is3su3ga 81 12 are be VBP cord-155475-is3su3ga 81 13 independent independent JJ cord-155475-is3su3ga 81 14 to to IN cord-155475-is3su3ga 81 15 any any DT cord-155475-is3su3ga 81 16 R r NN cord-155475-is3su3ga 81 17 i i PRP cord-155475-is3su3ga 81 18 to to TO cord-155475-is3su3ga 81 19 get get VB cord-155475-is3su3ga 81 20 absorbed absorb VBN cord-155475-is3su3ga 81 21 in in IN cord-155475-is3su3ga 81 22 the the DT cord-155475-is3su3ga 81 23 function function NN cord-155475-is3su3ga 81 24 Ξ(t Ξ(t '' cord-155475-is3su3ga 81 25 ) ) -RRB- cord-155475-is3su3ga 81 26 . . . cord-155475-is3su3ga 82 1 The the DT cord-155475-is3su3ga 82 2 terms term NNS cord-155475-is3su3ga 82 3 of of IN cord-155475-is3su3ga 82 4 the the DT cord-155475-is3su3ga 82 5 expansion expansion NN cord-155475-is3su3ga 82 6 provide provide VB cord-155475-is3su3ga 82 7 information information NN cord-155475-is3su3ga 82 8 about about IN cord-155475-is3su3ga 82 9 the the DT cord-155475-is3su3ga 82 10 way way NN cord-155475-is3su3ga 82 11 in in IN cord-155475-is3su3ga 82 12 which which WDT cord-155475-is3su3ga 82 13 healing heal VBG cord-155475-is3su3ga 82 14 a a DT cord-155475-is3su3ga 82 15 node node NN cord-155475-is3su3ga 82 16 affects affect VBZ cord-155475-is3su3ga 82 17 the the DT cord-155475-is3su3ga 82 18 cost cost NN cord-155475-is3su3ga 82 19 function function NN cord-155475-is3su3ga 82 20 : : : cord-155475-is3su3ga 82 21 the the DT cord-155475-is3su3ga 82 22 first first JJ cord-155475-is3su3ga 82 23 order order NN cord-155475-is3su3ga 82 24 does do VBZ cord-155475-is3su3ga 82 25 not not RB cord-155475-is3su3ga 82 26 provide provide VB cord-155475-is3su3ga 82 27 any any DT cord-155475-is3su3ga 82 28 new new JJ cord-155475-is3su3ga 82 29 information information NN cord-155475-is3su3ga 82 30 , , , cord-155475-is3su3ga 82 31 the the DT cord-155475-is3su3ga 82 32 second second JJ cord-155475-is3su3ga 82 33 order order NN cord-155475-is3su3ga 82 34 suggests suggest VBZ cord-155475-is3su3ga 82 35 something something NN cord-155475-is3su3ga 82 36 as as RB cord-155475-is3su3ga 82 37 trivial trivial JJ cord-155475-is3su3ga 82 38 as as IN cord-155475-is3su3ga 82 39 to to TO cord-155475-is3su3ga 82 40 heal heal VB cord-155475-is3su3ga 82 41 only only RB cord-155475-is3su3ga 82 42 infected infect VBN cord-155475-is3su3ga 82 43 nodes node NNS cord-155475-is3su3ga 82 44 , , , cord-155475-is3su3ga 82 45 while while IN cord-155475-is3su3ga 82 46 the the DT cord-155475-is3su3ga 82 47 third third JJ cord-155475-is3su3ga 82 48 order order NN cord-155475-is3su3ga 82 49 quantifies quantify VBZ cord-155475-is3su3ga 82 50 the the DT cord-155475-is3su3ga 82 51 contribution contribution NN cord-155475-is3su3ga 82 52 of of IN cord-155475-is3su3ga 82 53 healing heal VBG cord-155475-is3su3ga 82 54 a a DT cord-155475-is3su3ga 82 55 specific specific JJ cord-155475-is3su3ga 82 56 node node NN cord-155475-is3su3ga 82 57 in in IN cord-155475-is3su3ga 82 58 reducing reduce VBG cord-155475-is3su3ga 82 59 the the DT cord-155475-is3su3ga 82 60 cost cost NN cord-155475-is3su3ga 82 61 function function NN cord-155475-is3su3ga 82 62 . . . cord-155475-is3su3ga 83 1 Based base VBN cord-155475-is3su3ga 83 2 on on IN cord-155475-is3su3ga 83 3 Eq Eq NNP cord-155475-is3su3ga 83 4 . . . cord-155475-is3su3ga 84 1 III.4 III.4 NNP cord-155475-is3su3ga 85 1 we -PRON- PRP cord-155475-is3su3ga 85 2 derive derive VBP cord-155475-is3su3ga 85 3 the the DT cord-155475-is3su3ga 85 4 following following JJ cord-155475-is3su3ga 85 5 score score NN cord-155475-is3su3ga 85 6 for for IN cord-155475-is3su3ga 85 7 each each DT cord-155475-is3su3ga 85 8 infected infect VBN cord-155475-is3su3ga 85 9 node node NN cord-155475-is3su3ga 85 10 i i PRP cord-155475-is3su3ga 86 1 : : : cord-155475-is3su3ga 86 2 The the DT cord-155475-is3su3ga 86 3 score score NN cord-155475-is3su3ga 86 4 has have VBZ cord-155475-is3su3ga 86 5 the the DT cord-155475-is3su3ga 86 6 following follow VBG cord-155475-is3su3ga 86 7 interpretation interpretation NN cord-155475-is3su3ga 86 8 . . . cord-155475-is3su3ga 87 1 We -PRON- PRP cord-155475-is3su3ga 87 2 can can MD cord-155475-is3su3ga 87 3 identify identify VB cord-155475-is3su3ga 87 4 two two CD cord-155475-is3su3ga 87 5 main main JJ cord-155475-is3su3ga 87 6 parts part NNS cord-155475-is3su3ga 87 7 : : : cord-155475-is3su3ga 87 8 the the DT cord-155475-is3su3ga 87 9 quantification quantification NN cord-155475-is3su3ga 87 10 of of IN cord-155475-is3su3ga 87 11 the the DT cord-155475-is3su3ga 87 12 transition transition NN cord-155475-is3su3ga 87 13 rate rate NN cord-155475-is3su3ga 87 14 H h NN cord-155475-is3su3ga 87 15 i i NN cord-155475-is3su3ga 87 16 + + CC cord-155475-is3su3ga 88 1 I -PRON- PRP cord-155475-is3su3ga 89 1 i i PRP cord-155475-is3su3ga 89 2 of of IN cord-155475-is3su3ga 89 3 the the DT cord-155475-is3su3ga 89 4 node node NN cord-155475-is3su3ga 89 5 , , , cord-155475-is3su3ga 89 6 and and CC cord-155475-is3su3ga 89 7 the the DT cord-155475-is3su3ga 89 8 effect effect NN cord-155475-is3su3ga 89 9 of of IN cord-155475-is3su3ga 89 10 its -PRON- PRP$ cord-155475-is3su3ga 89 11 recovery recovery NN cord-155475-is3su3ga 89 12 on on IN cord-155475-is3su3ga 89 13 the the DT cord-155475-is3su3ga 89 14 neighbors neighbor NNS cord-155475-is3su3ga 89 15 On on IN cord-155475-is3su3ga 89 16 the the DT cord-155475-is3su3ga 89 17 one one CD cord-155475-is3su3ga 89 18 hand hand NN cord-155475-is3su3ga 89 19 , , , cord-155475-is3su3ga 89 20 if if IN cord-155475-is3su3ga 89 21 a a DT cord-155475-is3su3ga 89 22 node node NN cord-155475-is3su3ga 89 23 could could MD cord-155475-is3su3ga 89 24 get get VB cord-155475-is3su3ga 89 25 easily easily RB cord-155475-is3su3ga 89 26 reinfected reinfecte VBN cord-155475-is3su3ga 89 27 ( ( -LRB- cord-155475-is3su3ga 89 28 high high JJ cord-155475-is3su3ga 89 29 I i NN cord-155475-is3su3ga 89 30 i i PRP cord-155475-is3su3ga 89 31 value value VBP cord-155475-is3su3ga 89 32 ) ) -RRB- cord-155475-is3su3ga 89 33 or or CC cord-155475-is3su3ga 89 34 is be VBZ cord-155475-is3su3ga 89 35 going go VBG cord-155475-is3su3ga 89 36 to to TO cord-155475-is3su3ga 89 37 be be VB cord-155475-is3su3ga 89 38 healed heal VBN cord-155475-is3su3ga 89 39 rapidly rapidly RB cord-155475-is3su3ga 89 40 by by IN cord-155475-is3su3ga 89 41 either either CC cord-155475-is3su3ga 89 42 the the DT cord-155475-is3su3ga 89 43 self self NN cord-155475-is3su3ga 89 44 - - HYPH cord-155475-is3su3ga 89 45 recovery recovery NN cord-155475-is3su3ga 89 46 or or CC cord-155475-is3su3ga 89 47 the the DT cord-155475-is3su3ga 89 48 positive positive JJ cord-155475-is3su3ga 89 49 diffusion diffusion NN cord-155475-is3su3ga 89 50 ( ( -LRB- cord-155475-is3su3ga 89 51 high high JJ cord-155475-is3su3ga 89 52 H h NN cord-155475-is3su3ga 89 53 i i PRP cord-155475-is3su3ga 89 54 value value NN cord-155475-is3su3ga 89 55 ) ) -RRB- cord-155475-is3su3ga 89 56 , , , cord-155475-is3su3ga 89 57 then then RB cord-155475-is3su3ga 89 58 it -PRON- PRP cord-155475-is3su3ga 89 59 is be VBZ cord-155475-is3su3ga 89 60 not not RB cord-155475-is3su3ga 89 61 a a DT cord-155475-is3su3ga 89 62 good good JJ cord-155475-is3su3ga 89 63 candidate candidate NN cord-155475-is3su3ga 89 64 to to TO cord-155475-is3su3ga 89 65 invest invest VB cord-155475-is3su3ga 89 66 resources resource NNS cord-155475-is3su3ga 89 67 on on RB cord-155475-is3su3ga 89 68 . . . cord-155475-is3su3ga 90 1 On on IN cord-155475-is3su3ga 90 2 the the DT cord-155475-is3su3ga 90 3 other other JJ cord-155475-is3su3ga 90 4 hand hand NN cord-155475-is3su3ga 90 5 , , , cord-155475-is3su3ga 90 6 if if IN cord-155475-is3su3ga 90 7 a a DT cord-155475-is3su3ga 90 8 possible possible JJ cord-155475-is3su3ga 90 9 node node NN cord-155475-is3su3ga 90 10 recovery recovery NN cord-155475-is3su3ga 90 11 would would MD cord-155475-is3su3ga 90 12 largely largely RB cord-155475-is3su3ga 90 13 increase increase VB cord-155475-is3su3ga 90 14 the the DT cord-155475-is3su3ga 90 15 healing healing NN cord-155475-is3su3ga 90 16 rate rate NN cord-155475-is3su3ga 90 17 of of IN cord-155475-is3su3ga 90 18 its -PRON- PRP$ cord-155475-is3su3ga 90 19 infected infected JJ cord-155475-is3su3ga 90 20 neighbors neighbor NNS cord-155475-is3su3ga 90 21 ( ( -LRB- cord-155475-is3su3ga 90 22 low low JJ cord-155475-is3su3ga 90 23 ∆H ∆H NNP cord-155475-is3su3ga 90 24 −i −i NNP cord-155475-is3su3ga 90 25 j j NNP cord-155475-is3su3ga 90 26 value value NN cord-155475-is3su3ga 90 27 ) ) -RRB- cord-155475-is3su3ga 90 28 , , , cord-155475-is3su3ga 90 29 then then RB cord-155475-is3su3ga 90 30 the the DT cord-155475-is3su3ga 90 31 node node NN cord-155475-is3su3ga 90 32 is be VBZ cord-155475-is3su3ga 90 33 attributed attribute VBN cord-155475-is3su3ga 90 34 with with IN cord-155475-is3su3ga 90 35 a a DT cord-155475-is3su3ga 90 36 higher high JJR cord-155475-is3su3ga 90 37 score score NN cord-155475-is3su3ga 90 38 . . . cord-155475-is3su3ga 91 1 Finally finally RB cord-155475-is3su3ga 91 2 , , , cord-155475-is3su3ga 91 3 if if IN cord-155475-is3su3ga 91 4 a a DT cord-155475-is3su3ga 91 5 possible possible JJ cord-155475-is3su3ga 91 6 node node NN cord-155475-is3su3ga 91 7 recovery recovery NN cord-155475-is3su3ga 91 8 would would MD cord-155475-is3su3ga 91 9 largely largely RB cord-155475-is3su3ga 91 10 decrease decrease VB cord-155475-is3su3ga 91 11 the the DT cord-155475-is3su3ga 91 12 infectious infectious JJ cord-155475-is3su3ga 91 13 rate rate NN cord-155475-is3su3ga 91 14 of of IN cord-155475-is3su3ga 91 15 its -PRON- PRP$ cord-155475-is3su3ga 91 16 infected infected JJ cord-155475-is3su3ga 91 17 neighbors neighbor NNS cord-155475-is3su3ga 91 18 ( ( -LRB- cord-155475-is3su3ga 91 19 low low JJ cord-155475-is3su3ga 91 20 ∆I ∆I NNP cord-155475-is3su3ga 91 21 −i −i NNP cord-155475-is3su3ga 91 22 j j NNP cord-155475-is3su3ga 91 23 value value NN cord-155475-is3su3ga 91 24 ) ) -RRB- cord-155475-is3su3ga 91 25 , , , cord-155475-is3su3ga 91 26 then then RB cord-155475-is3su3ga 91 27 the the DT cord-155475-is3su3ga 91 28 node node NN cord-155475-is3su3ga 91 29 gets get VBZ cord-155475-is3su3ga 91 30 also also RB cord-155475-is3su3ga 91 31 higher high JJR cord-155475-is3su3ga 91 32 score score NN cord-155475-is3su3ga 91 33 . . . cord-155475-is3su3ga 92 1 Algorithm algorithm NN cord-155475-is3su3ga 92 2 . . . cord-155475-is3su3ga 93 1 At at IN cord-155475-is3su3ga 93 2 time time NN cord-155475-is3su3ga 93 3 t t NNP cord-155475-is3su3ga 93 4 , , , cord-155475-is3su3ga 93 5 the the DT cord-155475-is3su3ga 93 6 gLRIE gLRIE NNP cord-155475-is3su3ga 93 7 strategy strategy NN cord-155475-is3su3ga 93 8 would would MD cord-155475-is3su3ga 93 9 take take VB cord-155475-is3su3ga 93 10 as as IN cord-155475-is3su3ga 93 11 input input NN cord-155475-is3su3ga 93 12 the the DT cord-155475-is3su3ga 93 13 network network NN cord-155475-is3su3ga 93 14 state state NN cord-155475-is3su3ga 93 15 X(t)and x(t)and VBP cord-155475-is3su3ga 93 16 the the DT cord-155475-is3su3ga 93 17 budget budget NN cord-155475-is3su3ga 93 18 of of IN cord-155475-is3su3ga 93 19 resources resource NNS cord-155475-is3su3ga 94 1 b. b. NNP cord-155475-is3su3ga 95 1 It -PRON- PRP cord-155475-is3su3ga 95 2 would would MD cord-155475-is3su3ga 95 3 independently independently RB cord-155475-is3su3ga 95 4 compute compute VB cord-155475-is3su3ga 95 5 the the DT cord-155475-is3su3ga 95 6 criticality criticality NN cord-155475-is3su3ga 95 7 score score NN cord-155475-is3su3ga 95 8 of of IN cord-155475-is3su3ga 95 9 Eq Eq NNP cord-155475-is3su3ga 95 10 . . . cord-155475-is3su3ga 96 1 ( ( -LRB- cord-155475-is3su3ga 96 2 III.5 III.5 NNP cord-155475-is3su3ga 96 3 ) ) -RRB- cord-155475-is3su3ga 96 4 for for IN cord-155475-is3su3ga 96 5 each each DT cord-155475-is3su3ga 96 6 node node NN cord-155475-is3su3ga 96 7 , , , cord-155475-is3su3ga 96 8 rank rank VB cord-155475-is3su3ga 96 9 them -PRON- PRP cord-155475-is3su3ga 96 10 and and CC cord-155475-is3su3ga 96 11 finally finally RB cord-155475-is3su3ga 96 12 note note VB cord-155475-is3su3ga 96 13 with with IN cord-155475-is3su3ga 96 14 1 1 CD cord-155475-is3su3ga 96 15 's 's POS cord-155475-is3su3ga 96 16 in in IN cord-155475-is3su3ga 96 17 the the DT cord-155475-is3su3ga 96 18 resource resource NN cord-155475-is3su3ga 96 19 allocation allocation NN cord-155475-is3su3ga 96 20 vector vector NN cord-155475-is3su3ga 96 21 R(t R(t NNP cord-155475-is3su3ga 96 22 ) ) -RRB- cord-155475-is3su3ga 96 23 which which WDT cord-155475-is3su3ga 96 24 nodes node NNS cord-155475-is3su3ga 96 25 to to TO cord-155475-is3su3ga 96 26 target target VB cord-155475-is3su3ga 97 1 while while IN cord-155475-is3su3ga 97 2 respecting respect VBG cord-155475-is3su3ga 97 3 the the DT cord-155475-is3su3ga 97 4 budget budget NN cord-155475-is3su3ga 97 5 , , , cord-155475-is3su3ga 97 6 i.e. i.e. FW cord-155475-is3su3ga 97 7 i i PRP cord-155475-is3su3ga 98 1 R(t R(t NNP cord-155475-is3su3ga 98 2 ) ) -RRB- cord-155475-is3su3ga 98 3 = = NFP cord-155475-is3su3ga 98 4 min(b min(b NNP cord-155475-is3su3ga 99 1 , , , cord-155475-is3su3ga 99 2 i i PRP cord-155475-is3su3ga 99 3 X x VBP cord-155475-is3su3ga 99 4 i i PRP cord-155475-is3su3ga 99 5 ( ( -LRB- cord-155475-is3su3ga 99 6 t t NN cord-155475-is3su3ga 99 7 ) ) -RRB- cord-155475-is3su3ga 99 8 ) ) -RRB- cord-155475-is3su3ga 99 9 ) ) -RRB- cord-155475-is3su3ga 99 10 . . . cord-155475-is3su3ga 100 1 The the DT cord-155475-is3su3ga 100 2 computational computational JJ cord-155475-is3su3ga 100 3 cost cost NN cord-155475-is3su3ga 100 4 of of IN cord-155475-is3su3ga 100 5 the the DT cord-155475-is3su3ga 100 6 algorithm algorithm NN cord-155475-is3su3ga 100 7 is be VBZ cord-155475-is3su3ga 100 8 O(N O(N NNP cord-155475-is3su3ga 100 9 2 2 CD cord-155475-is3su3ga 101 1 + + CC cord-155475-is3su3ga 101 2 N n CC cord-155475-is3su3ga 101 3 log log NN cord-155475-is3su3ga 101 4 N N NNP cord-155475-is3su3ga 101 5 ) ) -RRB- cord-155475-is3su3ga 101 6 . . . cord-155475-is3su3ga 102 1 In in IN cord-155475-is3su3ga 102 2 this this DT cord-155475-is3su3ga 102 3 section section NN cord-155475-is3su3ga 102 4 we -PRON- PRP cord-155475-is3su3ga 102 5 select select VBP cord-155475-is3su3ga 102 6 competitors competitor NNS cord-155475-is3su3ga 102 7 from from IN cord-155475-is3su3ga 102 8 the the DT cord-155475-is3su3ga 102 9 literature literature NN cord-155475-is3su3ga 102 10 , , , cord-155475-is3su3ga 102 11 define define VB cord-155475-is3su3ga 102 12 specific specific JJ cord-155475-is3su3ga 102 13 diffusion diffusion NN cord-155475-is3su3ga 102 14 functions function NNS cord-155475-is3su3ga 102 15 for for IN cord-155475-is3su3ga 102 16 the the DT cord-155475-is3su3ga 102 17 comparison comparison NN cord-155475-is3su3ga 102 18 , , , cord-155475-is3su3ga 102 19 and and CC cord-155475-is3su3ga 102 20 present present JJ cord-155475-is3su3ga 102 21 simulations simulation NNS cord-155475-is3su3ga 102 22 on on IN cord-155475-is3su3ga 102 23 random random JJ cord-155475-is3su3ga 102 24 and and CC cord-155475-is3su3ga 102 25 real real JJ cord-155475-is3su3ga 102 26 networks network NNS cord-155475-is3su3ga 102 27 . . . cord-155475-is3su3ga 103 1 Other other JJ cord-155475-is3su3ga 103 2 strategies strategy NNS cord-155475-is3su3ga 103 3 . . . cord-155475-is3su3ga 104 1 As as IN cord-155475-is3su3ga 104 2 a a DT cord-155475-is3su3ga 104 3 naive naive JJ cord-155475-is3su3ga 104 4 baseline baseline NN cord-155475-is3su3ga 104 5 , , , cord-155475-is3su3ga 104 6 we -PRON- PRP cord-155475-is3su3ga 104 7 use use VBP cord-155475-is3su3ga 104 8 the the DT cord-155475-is3su3ga 104 9 Random Random NNP cord-155475-is3su3ga 104 10 Allocation Allocation NNP cord-155475-is3su3ga 104 11 ( ( -LRB- cord-155475-is3su3ga 104 12 RAND RAND NNP cord-155475-is3su3ga 104 13 ) ) -RRB- cord-155475-is3su3ga 104 14 that that WDT cord-155475-is3su3ga 104 15 targets target VBZ cord-155475-is3su3ga 104 16 infected infected JJ cord-155475-is3su3ga 104 17 nodes node NNS cord-155475-is3su3ga 104 18 at at IN cord-155475-is3su3ga 104 19 random random JJ cord-155475-is3su3ga 104 20 . . . cord-155475-is3su3ga 105 1 The the DT cord-155475-is3su3ga 105 2 second second JJ cord-155475-is3su3ga 105 3 competitor competitor NN cord-155475-is3su3ga 105 4 is be VBZ cord-155475-is3su3ga 105 5 the the DT cord-155475-is3su3ga 105 6 Largest large JJS cord-155475-is3su3ga 105 7 Reduction reduction NN cord-155475-is3su3ga 105 8 in in IN cord-155475-is3su3ga 105 9 Spectral Spectral NNP cord-155475-is3su3ga 105 10 Radius Radius NNP cord-155475-is3su3ga 105 11 ( ( -LRB- cord-155475-is3su3ga 105 12 LRSR LRSR NNP cord-155475-is3su3ga 105 13 ) ) -RRB- cord-155475-is3su3ga 105 14 [ [ -LRB- cord-155475-is3su3ga 105 15 8 8 CD cord-155475-is3su3ga 105 16 ] ] -RRB- cord-155475-is3su3ga 105 17 , , , cord-155475-is3su3ga 105 18 which which WDT cord-155475-is3su3ga 105 19 is be VBZ cord-155475-is3su3ga 105 20 based base VBN cord-155475-is3su3ga 105 21 on on IN cord-155475-is3su3ga 105 22 spectral spectral JJ cord-155475-is3su3ga 105 23 graph graph NN cord-155475-is3su3ga 105 24 analysis analysis NN cord-155475-is3su3ga 105 25 generalized generalize VBN cord-155475-is3su3ga 105 26 to to IN cord-155475-is3su3ga 105 27 arbitrary arbitrary JJ cord-155475-is3su3ga 105 28 healing healing NN cord-155475-is3su3ga 105 29 effects effect NNS cord-155475-is3su3ga 105 30 ( ( -LRB- cord-155475-is3su3ga 105 31 ρ ρ NN cord-155475-is3su3ga 105 32 = = NFP cord-155475-is3su3ga 105 33 ∞ ∞ NNP cord-155475-is3su3ga 105 34 ) ) -RRB- cord-155475-is3su3ga 105 35 . . . cord-155475-is3su3ga 106 1 LRSR LRSR NNP cord-155475-is3su3ga 106 2 selects select VBZ cord-155475-is3su3ga 106 3 nodes node NNS cord-155475-is3su3ga 106 4 that that WDT cord-155475-is3su3ga 106 5 maximize maximize VBP cord-155475-is3su3ga 106 6 the the DT cord-155475-is3su3ga 106 7 eigen eigen JJ cord-155475-is3su3ga 106 8 - - JJ cord-155475-is3su3ga 106 9 drop drop NN cord-155475-is3su3ga 106 10 of of IN cord-155475-is3su3ga 106 11 the the DT cord-155475-is3su3ga 106 12 largest large JJS cord-155475-is3su3ga 106 13 eigenvalue eigenvalue NN cord-155475-is3su3ga 106 14 of of IN cord-155475-is3su3ga 106 15 the the DT cord-155475-is3su3ga 106 16 adjacency adjacency NN cord-155475-is3su3ga 106 17 matrix matrix NN cord-155475-is3su3ga 106 18 , , , cord-155475-is3su3ga 106 19 known know VBN cord-155475-is3su3ga 106 20 as as IN cord-155475-is3su3ga 106 21 spectral spectral JJ cord-155475-is3su3ga 106 22 radius radius NN cord-155475-is3su3ga 106 23 . . . cord-155475-is3su3ga 107 1 The the DT cord-155475-is3su3ga 107 2 next next JJ cord-155475-is3su3ga 107 3 competitor competitor NN cord-155475-is3su3ga 107 4 is be VBZ cord-155475-is3su3ga 107 5 the the DT cord-155475-is3su3ga 107 6 Maxcut Maxcut NNP cord-155475-is3su3ga 107 7 Minimization Minimization NNP cord-155475-is3su3ga 107 8 ( ( -LRB- cord-155475-is3su3ga 107 9 MCM MCM NNP cord-155475-is3su3ga 107 10 ) ) -RRB- cord-155475-is3su3ga 107 11 [ [ -LRB- cord-155475-is3su3ga 107 12 11 11 CD cord-155475-is3su3ga 107 13 ] ] -RRB- cord-155475-is3su3ga 107 14 , , , cord-155475-is3su3ga 107 15 which which WDT cord-155475-is3su3ga 107 16 introduces introduce VBZ cord-155475-is3su3ga 107 17 the the DT cord-155475-is3su3ga 107 18 priority priority NN cord-155475-is3su3ga 107 19 planning planning NN cord-155475-is3su3ga 107 20 approach approach NN cord-155475-is3su3ga 107 21 . . . cord-155475-is3su3ga 108 1 The the DT cord-155475-is3su3ga 108 2 strategy strategy NN cord-155475-is3su3ga 108 3 proceeds proceed VBZ cord-155475-is3su3ga 108 4 according accord VBG cord-155475-is3su3ga 108 5 to to IN cord-155475-is3su3ga 108 6 a a DT cord-155475-is3su3ga 108 7 precomputed precomputed JJ cord-155475-is3su3ga 108 8 node node NN cord-155475-is3su3ga 109 1 priorityorder priorityorder NNP cord-155475-is3su3ga 110 1 , , , cord-155475-is3su3ga 110 2 that that DT cord-155475-is3su3ga 110 3 is be VBZ cord-155475-is3su3ga 110 4 a a DT cord-155475-is3su3ga 110 5 linear linear JJ cord-155475-is3su3ga 110 6 arrangement arrangement NN cord-155475-is3su3ga 110 7 of of IN cord-155475-is3su3ga 110 8 the the DT cord-155475-is3su3ga 110 9 network network NN cord-155475-is3su3ga 110 10 with with IN cord-155475-is3su3ga 110 11 minimal minimal JJ cord-155475-is3su3ga 110 12 maxcut maxcut NN cord-155475-is3su3ga 110 13 , , , cord-155475-is3su3ga 110 14 i.e. i.e. FW cord-155475-is3su3ga 110 15 maximum maximum JJ cord-155475-is3su3ga 110 16 number number NN cord-155475-is3su3ga 110 17 of of IN cord-155475-is3su3ga 110 18 edges edge NNS cord-155475-is3su3ga 110 19 need need VBP cord-155475-is3su3ga 110 20 to to TO cord-155475-is3su3ga 110 21 be be VB cord-155475-is3su3ga 110 22 cut cut VBN cord-155475-is3su3ga 110 23 in in IN cord-155475-is3su3ga 110 24 order order NN cord-155475-is3su3ga 110 25 to to TO cord-155475-is3su3ga 110 26 split split VB cord-155475-is3su3ga 110 27 the the DT cord-155475-is3su3ga 110 28 ordering ordering NN cord-155475-is3su3ga 110 29 in in IN cord-155475-is3su3ga 110 30 two two CD cord-155475-is3su3ga 110 31 parts part NNS cord-155475-is3su3ga 110 32 . . . cord-155475-is3su3ga 111 1 The the DT cord-155475-is3su3ga 111 2 last last JJ cord-155475-is3su3ga 111 3 but but CC cord-155475-is3su3ga 111 4 most most JJS cord-155475-is3su3ga 111 5 direct direct JJ cord-155475-is3su3ga 111 6 competitor competitor NN cord-155475-is3su3ga 111 7 is be VBZ cord-155475-is3su3ga 111 8 the the DT cord-155475-is3su3ga 111 9 greedy greedy JJ cord-155475-is3su3ga 111 10 dynamic dynamic JJ cord-155475-is3su3ga 111 11 LRIE LRIE NNP cord-155475-is3su3ga 111 12 [ [ -LRB- cord-155475-is3su3ga 111 13 9 9 CD cord-155475-is3su3ga 111 14 ] ] -RRB- cord-155475-is3su3ga 111 15 that that IN cord-155475-is3su3ga 111 16 we -PRON- PRP cord-155475-is3su3ga 111 17 generalize generalize VBP cord-155475-is3su3ga 111 18 in in IN cord-155475-is3su3ga 111 19 this this DT cord-155475-is3su3ga 111 20 work work NN cord-155475-is3su3ga 111 21 . . . cord-155475-is3su3ga 112 1 Diffusion diffusion NN cord-155475-is3su3ga 112 2 function function NN cord-155475-is3su3ga 112 3 . . . cord-155475-is3su3ga 113 1 Generally generally RB cord-155475-is3su3ga 113 2 , , , cord-155475-is3su3ga 113 3 the the DT cord-155475-is3su3ga 113 4 state state NN cord-155475-is3su3ga 113 5 transition transition NN cord-155475-is3su3ga 113 6 rate rate NN cord-155475-is3su3ga 113 7 for for IN cord-155475-is3su3ga 113 8 a a DT cord-155475-is3su3ga 113 9 node node NN cord-155475-is3su3ga 113 10 can can MD cord-155475-is3su3ga 113 11 be be VB cord-155475-is3su3ga 113 12 assumed assume VBN cord-155475-is3su3ga 113 13 to to TO cord-155475-is3su3ga 113 14 be be VB cord-155475-is3su3ga 113 15 a a DT cord-155475-is3su3ga 113 16 function function NN cord-155475-is3su3ga 113 17 either either DT cord-155475-is3su3ga 113 18 of of IN cord-155475-is3su3ga 113 19 the the DT cord-155475-is3su3ga 113 20 absolute absolute JJ cord-155475-is3su3ga 113 21 number number NN cord-155475-is3su3ga 113 22 of of IN cord-155475-is3su3ga 113 23 neighbors neighbor NNS cord-155475-is3su3ga 113 24 in in IN cord-155475-is3su3ga 113 25 the the DT cord-155475-is3su3ga 113 26 opposing oppose VBG cord-155475-is3su3ga 113 27 state state NN cord-155475-is3su3ga 113 28 ( ( -LRB- cord-155475-is3su3ga 113 29 standard standard NN cord-155475-is3su3ga 113 30 for for IN cord-155475-is3su3ga 113 31 SIS SIS NNP cord-155475-is3su3ga 113 32 ) ) -RRB- cord-155475-is3su3ga 113 33 , , , cord-155475-is3su3ga 113 34 or or CC cord-155475-is3su3ga 113 35 of of IN cord-155475-is3su3ga 113 36 the the DT cord-155475-is3su3ga 113 37 fraction fraction NN cord-155475-is3su3ga 113 38 of of IN cord-155475-is3su3ga 113 39 those those DT cord-155475-is3su3ga 113 40 nodes node NNS cord-155475-is3su3ga 113 41 our -PRON- PRP$ cord-155475-is3su3ga 113 42 of of IN cord-155475-is3su3ga 113 43 all all DT cord-155475-is3su3ga 113 44 neighbors neighbor NNS cord-155475-is3su3ga 113 45 . . . cord-155475-is3su3ga 114 1 Here here RB cord-155475-is3su3ga 114 2 we -PRON- PRP cord-155475-is3su3ga 114 3 take take VBP cord-155475-is3su3ga 114 4 as as IN cord-155475-is3su3ga 114 5 an an DT cord-155475-is3su3ga 114 6 example example NN cord-155475-is3su3ga 114 7 the the DT cord-155475-is3su3ga 114 8 former former JJ cord-155475-is3su3ga 114 9 option option NN cord-155475-is3su3ga 114 10 , , , cord-155475-is3su3ga 114 11 as as IN cord-155475-is3su3ga 114 12 the the DT cord-155475-is3su3ga 114 13 strategies strategy NNS cord-155475-is3su3ga 114 14 presented present VBN cord-155475-is3su3ga 114 15 in in IN cord-155475-is3su3ga 114 16 the the DT cord-155475-is3su3ga 114 17 literature literature NN cord-155475-is3su3ga 114 18 consider consider VBP cord-155475-is3su3ga 114 19 that that DT cord-155475-is3su3ga 114 20 type type NN cord-155475-is3su3ga 114 21 and and CC cord-155475-is3su3ga 114 22 it -PRON- PRP cord-155475-is3su3ga 114 23 is be VBZ cord-155475-is3su3ga 114 24 therefore therefore RB cord-155475-is3su3ga 114 25 a a DT cord-155475-is3su3ga 114 26 fair fair JJ cord-155475-is3su3ga 114 27 comparison comparison NN cord-155475-is3su3ga 114 28 . . . cord-155475-is3su3ga 115 1 Future future JJ cord-155475-is3su3ga 115 2 work work NN cord-155475-is3su3ga 115 3 could could MD cord-155475-is3su3ga 115 4 include include VB cord-155475-is3su3ga 115 5 additional additional JJ cord-155475-is3su3ga 115 6 experiments experiment NNS cord-155475-is3su3ga 115 7 with with IN cord-155475-is3su3ga 115 8 the the DT cord-155475-is3su3ga 115 9 latter latter JJ cord-155475-is3su3ga 115 10 type type NN cord-155475-is3su3ga 115 11 . . . cord-155475-is3su3ga 116 1 Social social JJ cord-155475-is3su3ga 116 2 behaviors behavior NNS cord-155475-is3su3ga 116 3 have have VBP cord-155475-is3su3ga 116 4 complex complex JJ cord-155475-is3su3ga 116 5 properties property NNS cord-155475-is3su3ga 116 6 that that WDT cord-155475-is3su3ga 116 7 are be VBP cord-155475-is3su3ga 116 8 not not RB cord-155475-is3su3ga 116 9 covered cover VBN cord-155475-is3su3ga 116 10 by by IN cord-155475-is3su3ga 116 11 the the DT cord-155475-is3su3ga 116 12 standard standard JJ cord-155475-is3su3ga 116 13 SIS SIS NNP cord-155475-is3su3ga 116 14 models model NNS cord-155475-is3su3ga 116 15 , , , cord-155475-is3su3ga 116 16 such such JJ cord-155475-is3su3ga 116 17 as as IN cord-155475-is3su3ga 116 18 non non JJ cord-155475-is3su3ga 116 19 - - NN cord-155475-is3su3ga 116 20 linearity linearity NN cord-155475-is3su3ga 116 21 and and CC cord-155475-is3su3ga 116 22 saturation saturation NN cord-155475-is3su3ga 116 23 in in IN cord-155475-is3su3ga 116 24 the the DT cord-155475-is3su3ga 116 25 node node NN cord-155475-is3su3ga 116 26 transition transition NN cord-155475-is3su3ga 116 27 rates rate NNS cord-155475-is3su3ga 116 28 [ [ -LRB- cord-155475-is3su3ga 116 29 7 7 CD cord-155475-is3su3ga 116 30 ] ] -RRB- cord-155475-is3su3ga 116 31 . . . cord-155475-is3su3ga 117 1 We -PRON- PRP cord-155475-is3su3ga 117 2 employ employ VBP cord-155475-is3su3ga 117 3 sigmoid sigmoid JJ cord-155475-is3su3ga 117 4 functions function NNS cord-155475-is3su3ga 117 5 to to TO cord-155475-is3su3ga 117 6 model model VB cord-155475-is3su3ga 117 7 these these DT cord-155475-is3su3ga 117 8 model model NN cord-155475-is3su3ga 117 9 properties property NNS cord-155475-is3su3ga 117 10 : : : cord-155475-is3su3ga 117 11 where where WRB cord-155475-is3su3ga 117 12 n n NNP cord-155475-is3su3ga 117 13 and and CC cord-155475-is3su3ga 117 14 d d NNP cord-155475-is3su3ga 117 15 − − NNP cord-155475-is3su3ga 117 16 n n NNP cord-155475-is3su3ga 117 17 are be VBP cord-155475-is3su3ga 117 18 the the DT cord-155475-is3su3ga 117 19 number number NN cord-155475-is3su3ga 117 20 of of IN cord-155475-is3su3ga 117 21 infected infected JJ cord-155475-is3su3ga 117 22 and and CC cord-155475-is3su3ga 117 23 healthy healthy JJ cord-155475-is3su3ga 117 24 neighbors neighbor NNS cord-155475-is3su3ga 117 25 . . . cord-155475-is3su3ga 118 1 Also also RB cord-155475-is3su3ga 118 2 , , , cord-155475-is3su3ga 118 3 s s XX cord-155475-is3su3ga 118 4 I -PRON- PRP cord-155475-is3su3ga 118 5 ( ( -LRB- cord-155475-is3su3ga 118 6 resp resp FW cord-155475-is3su3ga 118 7 . . . cord-155475-is3su3ga 119 1 s s NNP cord-155475-is3su3ga 120 1 H H NNP cord-155475-is3su3ga 120 2 ) ) -RRB- cord-155475-is3su3ga 120 3 parameter parameter NN cord-155475-is3su3ga 120 4 controls control VBZ cord-155475-is3su3ga 120 5 the the DT cord-155475-is3su3ga 120 6 saturation saturation NN cord-155475-is3su3ga 120 7 level level NN cord-155475-is3su3ga 120 8 and and CC cord-155475-is3su3ga 121 1 I -PRON- PRP cord-155475-is3su3ga 121 2 ( ( -LRB- cord-155475-is3su3ga 121 3 resp resp FW cord-155475-is3su3ga 121 4 . . . cord-155475-is3su3ga 122 1 H h NN cord-155475-is3su3ga 122 2 ) ) -RRB- cord-155475-is3su3ga 123 1 the the DT cord-155475-is3su3ga 123 2 slope slope NN cord-155475-is3su3ga 123 3 at at IN cord-155475-is3su3ga 123 4 the the DT cord-155475-is3su3ga 123 5 origin origin NN cord-155475-is3su3ga 123 6 . . . cord-155475-is3su3ga 124 1 Next next RB cord-155475-is3su3ga 124 2 , , , cord-155475-is3su3ga 124 3 we -PRON- PRP cord-155475-is3su3ga 124 4 present present VBP cord-155475-is3su3ga 124 5 comparative comparative JJ cord-155475-is3su3ga 124 6 experiments experiment NNS cord-155475-is3su3ga 124 7 in in IN cord-155475-is3su3ga 124 8 Erdös Erdös NNP cord-155475-is3su3ga 124 9 - - HYPH cord-155475-is3su3ga 124 10 Rényi Rényi NNP cord-155475-is3su3ga 124 11 ( ( -LRB- cord-155475-is3su3ga 124 12 ER ER NNP cord-155475-is3su3ga 124 13 ) ) -RRB- cord-155475-is3su3ga 124 14 , , , cord-155475-is3su3ga 124 15 Preferential Preferential NNP cord-155475-is3su3ga 124 16 Attachment Attachment NNP cord-155475-is3su3ga 124 17 ( ( -LRB- cord-155475-is3su3ga 124 18 PR PR NNP cord-155475-is3su3ga 124 19 ) ) -RRB- cord-155475-is3su3ga 124 20 , , , cord-155475-is3su3ga 124 21 and and CC cord-155475-is3su3ga 124 22 Small Small NNP cord-155475-is3su3ga 124 23 - - HYPH cord-155475-is3su3ga 124 24 World world NN cord-155475-is3su3ga 124 25 ( ( -LRB- cord-155475-is3su3ga 124 26 SW SW NNP cord-155475-is3su3ga 124 27 ) ) -RRB- cord-155475-is3su3ga 124 28 random random JJ cord-155475-is3su3ga 124 29 networks network NNS cord-155475-is3su3ga 124 30 of of IN cord-155475-is3su3ga 124 31 size size NN cord-155475-is3su3ga 124 32 300 300 CD cord-155475-is3su3ga 124 33 nodes node NNS cord-155475-is3su3ga 124 34 each each DT cord-155475-is3su3ga 124 35 . . . cord-155475-is3su3ga 125 1 First first RB cord-155475-is3su3ga 125 2 we -PRON- PRP cord-155475-is3su3ga 125 3 gradually gradually RB cord-155475-is3su3ga 125 4 introduce introduce VBP cord-155475-is3su3ga 125 5 non non NN cord-155475-is3su3ga 125 6 - - NN cord-155475-is3su3ga 125 7 linearity linearity NN cord-155475-is3su3ga 125 8 in in IN cord-155475-is3su3ga 125 9 the the DT cord-155475-is3su3ga 125 10 diffusion diffusion NN cord-155475-is3su3ga 125 11 , , , cord-155475-is3su3ga 125 12 and and CC cord-155475-is3su3ga 125 13 then then RB cord-155475-is3su3ga 125 14 we -PRON- PRP cord-155475-is3su3ga 125 15 show show VBP cord-155475-is3su3ga 125 16 the the DT cord-155475-is3su3ga 125 17 effects effect NNS cord-155475-is3su3ga 125 18 of of IN cord-155475-is3su3ga 125 19 introducing introduce VBG cord-155475-is3su3ga 125 20 also also RB cord-155475-is3su3ga 125 21 competition competition NN cord-155475-is3su3ga 125 22 diffusion diffusion NN cord-155475-is3su3ga 125 23 . . . cord-155475-is3su3ga 126 1 From from IN cord-155475-is3su3ga 126 2 linear linear JJ cord-155475-is3su3ga 126 3 to to IN cord-155475-is3su3ga 126 4 non non JJ cord-155475-is3su3ga 126 5 - - JJ cord-155475-is3su3ga 126 6 linear linear JJ cord-155475-is3su3ga 126 7 spreading spreading NN cord-155475-is3su3ga 126 8 . . . cord-155475-is3su3ga 127 1 We -PRON- PRP cord-155475-is3su3ga 127 2 first first RB cord-155475-is3su3ga 127 3 consider consider VBP cord-155475-is3su3ga 127 4 only only RB cord-155475-is3su3ga 127 5 the the DT cord-155475-is3su3ga 127 6 negative negative JJ cord-155475-is3su3ga 127 7 diffusion diffusion NN cord-155475-is3su3ga 127 8 ( ( -LRB- cord-155475-is3su3ga 127 9 i.e. i.e. FW cord-155475-is3su3ga 127 10 H h NN cord-155475-is3su3ga 127 11 = = SYM cord-155475-is3su3ga 127 12 0 0 NFP cord-155475-is3su3ga 127 13 ) ) -RRB- cord-155475-is3su3ga 127 14 and and CC cord-155475-is3su3ga 127 15 we -PRON- PRP cord-155475-is3su3ga 127 16 gradually gradually RB cord-155475-is3su3ga 127 17 increase increase VBP cord-155475-is3su3ga 127 18 I -PRON- PRP cord-155475-is3su3ga 127 19 in in IN cord-155475-is3su3ga 127 20 an an DT cord-155475-is3su3ga 127 21 ER ER NNP cord-155475-is3su3ga 127 22 random random JJ cord-155475-is3su3ga 127 23 graph graph NN cord-155475-is3su3ga 127 24 , , , cord-155475-is3su3ga 127 25 moving move VBG cord-155475-is3su3ga 127 26 gradually gradually RB cord-155475-is3su3ga 127 27 from from IN cord-155475-is3su3ga 127 28 linear linear NNP cord-155475-is3su3ga 127 29 ( ( -LRB- cord-155475-is3su3ga 127 30 as as IN cord-155475-is3su3ga 127 31 in in IN cord-155475-is3su3ga 127 32 the the DT cord-155475-is3su3ga 127 33 standard standard JJ cord-155475-is3su3ga 127 34 SIS SIS NNP cord-155475-is3su3ga 127 35 model model NN cord-155475-is3su3ga 127 36 ) ) -RRB- cord-155475-is3su3ga 127 37 to to IN cord-155475-is3su3ga 127 38 non non JJ cord-155475-is3su3ga 127 39 - - JJ cord-155475-is3su3ga 127 40 linear linear JJ cord-155475-is3su3ga 127 41 functions function NNS cord-155475-is3su3ga 127 42 . . . cord-155475-is3su3ga 128 1 Fig Fig NNP cord-155475-is3su3ga 128 2 . . NNP cord-155475-is3su3ga 128 3 1 1 CD cord-155475-is3su3ga 128 4 shows show VBZ cord-155475-is3su3ga 128 5 the the DT cord-155475-is3su3ga 128 6 average average NN cord-155475-is3su3ga 128 7 over over IN cord-155475-is3su3ga 128 8 1,000 1,000 CD cord-155475-is3su3ga 128 9 simulations simulation NNS cord-155475-is3su3ga 128 10 of of IN cord-155475-is3su3ga 128 11 the the DT cord-155475-is3su3ga 128 12 percentage percentage NN cord-155475-is3su3ga 128 13 of of IN cord-155475-is3su3ga 128 14 infected infected JJ cord-155475-is3su3ga 128 15 nodes node NNS cord-155475-is3su3ga 128 16 over over IN cord-155475-is3su3ga 128 17 time time NN cord-155475-is3su3ga 128 18 and and CC cord-155475-is3su3ga 128 19 the the DT cord-155475-is3su3ga 128 20 95 95 CD cord-155475-is3su3ga 128 21 % % NN cord-155475-is3su3ga 128 22 confidence confidence NN cord-155475-is3su3ga 128 23 interval interval NN cord-155475-is3su3ga 128 24 under under IN cord-155475-is3su3ga 128 25 the the DT cord-155475-is3su3ga 128 26 hypothesis hypothesis NN cord-155475-is3su3ga 128 27 of of IN cord-155475-is3su3ga 128 28 Gaussian gaussian JJ cord-155475-is3su3ga 128 29 distribution distribution NN cord-155475-is3su3ga 128 30 . . . cord-155475-is3su3ga 129 1 The the DT cord-155475-is3su3ga 129 2 results result NNS cord-155475-is3su3ga 129 3 show show VBP cord-155475-is3su3ga 129 4 that that IN cord-155475-is3su3ga 129 5 in in IN cord-155475-is3su3ga 129 6 the the DT cord-155475-is3su3ga 129 7 presence presence NN cord-155475-is3su3ga 129 8 of of IN cord-155475-is3su3ga 129 9 non non JJ cord-155475-is3su3ga 129 10 - - JJ cord-155475-is3su3ga 129 11 linearity linearity JJ cord-155475-is3su3ga 129 12 our -PRON- PRP$ cord-155475-is3su3ga 129 13 strategy strategy NN cord-155475-is3su3ga 129 14 becomes become VBZ cord-155475-is3su3ga 129 15 much much RB cord-155475-is3su3ga 129 16 more more RBR cord-155475-is3su3ga 129 17 efficient efficient JJ cord-155475-is3su3ga 129 18 than than IN cord-155475-is3su3ga 129 19 the the DT cord-155475-is3su3ga 129 20 competitors competitor NNS cord-155475-is3su3ga 129 21 . . . cord-155475-is3su3ga 130 1 Introducing introduce VBG cord-155475-is3su3ga 130 2 competition competition NN cord-155475-is3su3ga 130 3 . . . cord-155475-is3su3ga 131 1 Next next RB cord-155475-is3su3ga 131 2 , , , cord-155475-is3su3ga 131 3 in in IN cord-155475-is3su3ga 131 4 Fig Fig NNP cord-155475-is3su3ga 131 5 . . . cord-155475-is3su3ga 132 1 2 2 LS cord-155475-is3su3ga 133 1 we -PRON- PRP cord-155475-is3su3ga 133 2 present present VBP cord-155475-is3su3ga 133 3 the the DT cord-155475-is3su3ga 133 4 effects effect NNS cord-155475-is3su3ga 133 5 of of IN cord-155475-is3su3ga 133 6 the the DT cord-155475-is3su3ga 133 7 positive positive JJ cord-155475-is3su3ga 133 8 diffusion diffusion NN cord-155475-is3su3ga 133 9 , , , cord-155475-is3su3ga 133 10 embedded embed VBN cord-155475-is3su3ga 133 11 in in IN cord-155475-is3su3ga 133 12 the the DT cord-155475-is3su3ga 133 13 function function NN cord-155475-is3su3ga 133 14 H h NN cord-155475-is3su3ga 133 15 , , , cord-155475-is3su3ga 133 16 on on IN cord-155475-is3su3ga 133 17 ER ER NNP cord-155475-is3su3ga 133 18 , , , cord-155475-is3su3ga 133 19 PR PR NNP cord-155475-is3su3ga 133 20 , , , cord-155475-is3su3ga 133 21 and and CC cord-155475-is3su3ga 133 22 SW SW NNP cord-155475-is3su3ga 133 23 random random JJ cord-155475-is3su3ga 133 24 networks network NNS cord-155475-is3su3ga 133 25 . . . cord-155475-is3su3ga 134 1 The the DT cord-155475-is3su3ga 134 2 last last JJ cord-155475-is3su3ga 134 3 plot plot NN cord-155475-is3su3ga 134 4 each each DT cord-155475-is3su3ga 134 5 row row NN cord-155475-is3su3ga 134 6 shows show VBZ cord-155475-is3su3ga 134 7 the the DT cord-155475-is3su3ga 134 8 shape shape NN cord-155475-is3su3ga 134 9 of of IN cord-155475-is3su3ga 134 10 the the DT cord-155475-is3su3ga 134 11 diffusion diffusion NN cord-155475-is3su3ga 134 12 functions function NNS cord-155475-is3su3ga 134 13 used use VBN cord-155475-is3su3ga 134 14 in in IN cord-155475-is3su3ga 134 15 the the DT cord-155475-is3su3ga 134 16 simulations simulation NNS cord-155475-is3su3ga 134 17 . . . cord-155475-is3su3ga 135 1 The the DT cord-155475-is3su3ga 135 2 simulations simulation NNS cord-155475-is3su3ga 135 3 show show VBP cord-155475-is3su3ga 135 4 that that IN cord-155475-is3su3ga 135 5 , , , cord-155475-is3su3ga 135 6 unlike unlike IN cord-155475-is3su3ga 135 7 gLRIE gLRIE NNP cord-155475-is3su3ga 135 8 , , , cord-155475-is3su3ga 135 9 the the DT cord-155475-is3su3ga 135 10 methods method NNS cord-155475-is3su3ga 135 11 of of IN cord-155475-is3su3ga 135 12 the the DT cord-155475-is3su3ga 135 13 literature literature NN cord-155475-is3su3ga 135 14 lack lack NN cord-155475-is3su3ga 135 15 modeling model VBG cord-155475-is3su3ga 135 16 power power NN cord-155475-is3su3ga 135 17 to to TO cord-155475-is3su3ga 135 18 deal deal VB cord-155475-is3su3ga 135 19 with with IN cord-155475-is3su3ga 135 20 this this DT cord-155475-is3su3ga 135 21 complex complex JJ cord-155475-is3su3ga 135 22 setting setting NN cord-155475-is3su3ga 135 23 involving involve VBG cord-155475-is3su3ga 135 24 non non JJ cord-155475-is3su3ga 135 25 - - NN cord-155475-is3su3ga 135 26 linearity linearity NN cord-155475-is3su3ga 135 27 and and CC cord-155475-is3su3ga 135 28 competition competition NN cord-155475-is3su3ga 135 29 , , , cord-155475-is3su3ga 135 30 and and CC cord-155475-is3su3ga 135 31 suppress suppress VB cord-155475-is3su3ga 135 32 the the DT cord-155475-is3su3ga 135 33 infection infection NN cord-155475-is3su3ga 135 34 . . . cord-155475-is3su3ga 136 1 We -PRON- PRP cord-155475-is3su3ga 136 2 performed perform VBD cord-155475-is3su3ga 136 3 simulations simulation NNS cord-155475-is3su3ga 136 4 on on IN cord-155475-is3su3ga 136 5 the the DT cord-155475-is3su3ga 136 6 Gnutella Gnutella NNP cord-155475-is3su3ga 136 7 2 2 CD cord-155475-is3su3ga 136 8 peer peer NN cord-155475-is3su3ga 136 9 - - HYPH cord-155475-is3su3ga 136 10 to to IN cord-155475-is3su3ga 136 11 - - HYPH cord-155475-is3su3ga 136 12 peer peer NN cord-155475-is3su3ga 136 13 network network NN cord-155475-is3su3ga 136 14 containing contain VBG cord-155475-is3su3ga 136 15 8,846 8,846 CD cord-155475-is3su3ga 136 16 nodes node NNS cord-155475-is3su3ga 136 17 and and CC cord-155475-is3su3ga 136 18 31,839 31,839 CD cord-155475-is3su3ga 136 19 edges edge NNS cord-155475-is3su3ga 136 20 . . . cord-155475-is3su3ga 137 1 Two two CD cord-155475-is3su3ga 137 2 scenarios scenario NNS cord-155475-is3su3ga 137 3 were be VBD cord-155475-is3su3ga 137 4 used use VBN cord-155475-is3su3ga 137 5 for for IN cord-155475-is3su3ga 137 6 the the DT cord-155475-is3su3ga 137 7 simulations simulation NNS cord-155475-is3su3ga 137 8 , , , cord-155475-is3su3ga 137 9 with with IN cord-155475-is3su3ga 137 10 and and CC cord-155475-is3su3ga 137 11 without without IN cord-155475-is3su3ga 137 12 positive positive JJ cord-155475-is3su3ga 137 13 diffusion diffusion NN cord-155475-is3su3ga 137 14 , , , cord-155475-is3su3ga 137 15 using use VBG cord-155475-is3su3ga 137 16 a a DT cord-155475-is3su3ga 137 17 wide wide JJ cord-155475-is3su3ga 137 18 range range NN cord-155475-is3su3ga 137 19 of of IN cord-155475-is3su3ga 137 20 parameters parameter NNS cord-155475-is3su3ga 137 21 . . . cord-155475-is3su3ga 138 1 Out out IN cord-155475-is3su3ga 138 2 of of IN cord-155475-is3su3ga 138 3 the the DT cord-155475-is3su3ga 138 4 many many JJ cord-155475-is3su3ga 138 5 possible possible JJ cord-155475-is3su3ga 138 6 evaluation evaluation NN cord-155475-is3su3ga 138 7 metrics metric NNS cord-155475-is3su3ga 138 8 for for IN cord-155475-is3su3ga 138 9 the the DT cord-155475-is3su3ga 138 10 quality quality NN cord-155475-is3su3ga 138 11 of of IN cord-155475-is3su3ga 138 12 a a DT cord-155475-is3su3ga 138 13 strategy strategy NN cord-155475-is3su3ga 138 14 , , , cord-155475-is3su3ga 138 15 e.g. e.g. RB cord-155475-is3su3ga 138 16 expected expect VBN cord-155475-is3su3ga 138 17 extinction extinction NN cord-155475-is3su3ga 138 18 time time NN cord-155475-is3su3ga 138 19 ( ( -LRB- cord-155475-is3su3ga 138 20 EET EET NNP cord-155475-is3su3ga 138 21 ) ) -RRB- cord-155475-is3su3ga 138 22 , , , cord-155475-is3su3ga 138 23 final final JJ cord-155475-is3su3ga 138 24 percentage percentage NN cord-155475-is3su3ga 138 25 of of IN cord-155475-is3su3ga 138 26 infection infection NN cord-155475-is3su3ga 138 27 ( ( -LRB- cord-155475-is3su3ga 138 28 FIS FIS NNP cord-155475-is3su3ga 138 29 ) ) -RRB- cord-155475-is3su3ga 138 30 , , , cord-155475-is3su3ga 138 31 area area NN cord-155475-is3su3ga 138 32 under under IN cord-155475-is3su3ga 138 33 the the DT cord-155475-is3su3ga 138 34 curve curve NN cord-155475-is3su3ga 138 35 ( ( -LRB- cord-155475-is3su3ga 138 36 AUC AUC NNP cord-155475-is3su3ga 138 37 ) ) -RRB- cord-155475-is3su3ga 138 38 , , , cord-155475-is3su3ga 138 39 we -PRON- PRP cord-155475-is3su3ga 138 40 choose choose VBP cord-155475-is3su3ga 138 41 the the DT cord-155475-is3su3ga 138 42 AUC AUC NNP cord-155475-is3su3ga 138 43 . . . cord-155475-is3su3ga 139 1 This this DT cord-155475-is3su3ga 139 2 has have VBZ cord-155475-is3su3ga 139 3 many many JJ cord-155475-is3su3ga 139 4 advantages advantage NNS cord-155475-is3su3ga 139 5 : : : cord-155475-is3su3ga 139 6 it -PRON- PRP cord-155475-is3su3ga 139 7 provides provide VBZ cord-155475-is3su3ga 139 8 useful useful JJ cord-155475-is3su3ga 139 9 measurements measurement NNS cord-155475-is3su3ga 139 10 even even RB cord-155475-is3su3ga 139 11 if if IN cord-155475-is3su3ga 139 12 the the DT cord-155475-is3su3ga 139 13 strategy strategy NN cord-155475-is3su3ga 139 14 did do VBD cord-155475-is3su3ga 139 15 not not RB cord-155475-is3su3ga 139 16 removed remove VBN cord-155475-is3su3ga 139 17 the the DT cord-155475-is3su3ga 139 18 infection infection NN cord-155475-is3su3ga 139 19 , , , cord-155475-is3su3ga 139 20 which which WDT cord-155475-is3su3ga 139 21 is be VBZ cord-155475-is3su3ga 139 22 a a DT cord-155475-is3su3ga 139 23 limitation limitation NN cord-155475-is3su3ga 139 24 of of IN cord-155475-is3su3ga 139 25 the the DT cord-155475-is3su3ga 139 26 EET EET NNP cord-155475-is3su3ga 139 27 metric metric NN cord-155475-is3su3ga 139 28 ; ; : cord-155475-is3su3ga 139 29 it -PRON- PRP cord-155475-is3su3ga 139 30 accounts account VBZ cord-155475-is3su3ga 139 31 for for IN cord-155475-is3su3ga 139 32 the the DT cord-155475-is3su3ga 139 33 total total JJ cord-155475-is3su3ga 139 34 amount amount NN cord-155475-is3su3ga 139 35 of of IN cord-155475-is3su3ga 139 36 infected infected JJ cord-155475-is3su3ga 139 37 nodes node NNS cord-155475-is3su3ga 139 38 in in IN cord-155475-is3su3ga 139 39 the the DT cord-155475-is3su3ga 139 40 process process NN cord-155475-is3su3ga 139 41 , , , cord-155475-is3su3ga 139 42 which which WDT cord-155475-is3su3ga 139 43 in in IN cord-155475-is3su3ga 139 44 a a DT cord-155475-is3su3ga 139 45 socioeconomic socioeconomic JJ cord-155475-is3su3ga 139 46 context context NN cord-155475-is3su3ga 139 47 is be VBZ cord-155475-is3su3ga 139 48 more more RBR cord-155475-is3su3ga 139 49 interesting interesting JJ cord-155475-is3su3ga 139 50 than than IN cord-155475-is3su3ga 139 51 the the DT cord-155475-is3su3ga 139 52 FIS FIS NNP cord-155475-is3su3ga 139 53 metric metric NN cord-155475-is3su3ga 139 54 . . . cord-155475-is3su3ga 140 1 The the DT cord-155475-is3su3ga 140 2 empirical empirical JJ cord-155475-is3su3ga 140 3 comparison comparison NN cord-155475-is3su3ga 140 4 between between IN cord-155475-is3su3ga 140 5 gLRIE glrie NN cord-155475-is3su3ga 140 6 and and CC cord-155475-is3su3ga 140 7 competitors competitor NNS cord-155475-is3su3ga 140 8 such such JJ cord-155475-is3su3ga 140 9 as as IN cord-155475-is3su3ga 140 10 LRIE LRIE NNP cord-155475-is3su3ga 140 11 and and CC cord-155475-is3su3ga 140 12 MCM MCM NNP cord-155475-is3su3ga 140 13 is be VBZ cord-155475-is3su3ga 140 14 summarized summarize VBN cord-155475-is3su3ga 140 15 in in IN cord-155475-is3su3ga 140 16 Fig Fig NNP cord-155475-is3su3ga 140 17 . . . cord-155475-is3su3ga 141 1 3 3 LS cord-155475-is3su3ga 142 1 In in IN cord-155475-is3su3ga 142 2 each each DT cord-155475-is3su3ga 142 3 heatmap heatmap NN cord-155475-is3su3ga 142 4 , , , cord-155475-is3su3ga 142 5 we -PRON- PRP cord-155475-is3su3ga 142 6 fix fix VBP cord-155475-is3su3ga 142 7 the the DT cord-155475-is3su3ga 142 8 shape shape NN cord-155475-is3su3ga 142 9 of of IN cord-155475-is3su3ga 142 10 the the DT cord-155475-is3su3ga 142 11 transition transition NN cord-155475-is3su3ga 142 12 function function NN cord-155475-is3su3ga 142 13 H H NNP cord-155475-is3su3ga 142 14 of of IN cord-155475-is3su3ga 142 15 the the DT cord-155475-is3su3ga 142 16 positive positive JJ cord-155475-is3su3ga 142 17 diffusion diffusion NN cord-155475-is3su3ga 142 18 and and CC cord-155475-is3su3ga 142 19 only only RB cord-155475-is3su3ga 142 20 play play VB cord-155475-is3su3ga 142 21 with with IN cord-155475-is3su3ga 142 22 the the DT cord-155475-is3su3ga 142 23 parameters parameter NNS cord-155475-is3su3ga 142 24 of of IN cord-155475-is3su3ga 142 25 the the DT cord-155475-is3su3ga 142 26 function function NN cord-155475-is3su3ga 143 1 I -PRON- PRP cord-155475-is3su3ga 143 2 of of IN cord-155475-is3su3ga 143 3 the the DT cord-155475-is3su3ga 143 4 negative negative JJ cord-155475-is3su3ga 143 5 diffusion diffusion NN cord-155475-is3su3ga 143 6 : : : cord-155475-is3su3ga 143 7 its -PRON- PRP$ cord-155475-is3su3ga 143 8 saturation saturation NN cord-155475-is3su3ga 143 9 level level NN cord-155475-is3su3ga 143 10 increases increase NNS cord-155475-is3su3ga 143 11 along along IN cord-155475-is3su3ga 143 12 the the DT cord-155475-is3su3ga 143 13 x x NN cord-155475-is3su3ga 143 14 - - HYPH cord-155475-is3su3ga 143 15 axis axis NN cord-155475-is3su3ga 143 16 and and CC cord-155475-is3su3ga 143 17 its -PRON- PRP$ cord-155475-is3su3ga 143 18 slope slope NN cord-155475-is3su3ga 143 19 increases increase VBZ cord-155475-is3su3ga 143 20 along along IN cord-155475-is3su3ga 143 21 the the DT cord-155475-is3su3ga 143 22 y y NN cord-155475-is3su3ga 143 23 - - HYPH cord-155475-is3su3ga 143 24 axis axis NN cord-155475-is3su3ga 143 25 . . . cord-155475-is3su3ga 144 1 On on IN cord-155475-is3su3ga 144 2 the the DT cord-155475-is3su3ga 144 3 top top RB cord-155475-is3su3ga 144 4 - - HYPH cord-155475-is3su3ga 144 5 left leave VBN cord-155475-is3su3ga 144 6 side side NN cord-155475-is3su3ga 144 7 of of IN cord-155475-is3su3ga 144 8 a a DT cord-155475-is3su3ga 144 9 heatmap heatmap NN cord-155475-is3su3ga 144 10 , , , cord-155475-is3su3ga 144 11 the the DT cord-155475-is3su3ga 144 12 epidemic epidemic NN cord-155475-is3su3ga 144 13 parameters parameter NNS cord-155475-is3su3ga 144 14 define define VBP cord-155475-is3su3ga 144 15 a a DT cord-155475-is3su3ga 144 16 weak weak JJ cord-155475-is3su3ga 144 17 infection infection NN cord-155475-is3su3ga 144 18 and and CC cord-155475-is3su3ga 144 19 any any DT cord-155475-is3su3ga 144 20 strategy strategy NN cord-155475-is3su3ga 144 21 would would MD cord-155475-is3su3ga 144 22 perform perform VB cord-155475-is3su3ga 144 23 well well RB cord-155475-is3su3ga 144 24 , , , cord-155475-is3su3ga 144 25 while while IN cord-155475-is3su3ga 144 26 on on IN cord-155475-is3su3ga 144 27 the the DT cord-155475-is3su3ga 144 28 bottom bottom JJ cord-155475-is3su3ga 144 29 - - HYPH cord-155475-is3su3ga 144 30 right right JJ cord-155475-is3su3ga 144 31 side side NN cord-155475-is3su3ga 144 32 the the DT cord-155475-is3su3ga 144 33 infection infection NN cord-155475-is3su3ga 144 34 becomes become VBZ cord-155475-is3su3ga 144 35 hard hard JJ cord-155475-is3su3ga 144 36 to to TO cord-155475-is3su3ga 144 37 completely completely RB cord-155475-is3su3ga 144 38 remove remove VB cord-155475-is3su3ga 144 39 for for IN cord-155475-is3su3ga 144 40 all all DT cord-155475-is3su3ga 144 41 strategies strategy NNS cord-155475-is3su3ga 144 42 ( ( -LRB- cord-155475-is3su3ga 144 43 given give VBN cord-155475-is3su3ga 144 44 the the DT cord-155475-is3su3ga 144 45 amount amount NN cord-155475-is3su3ga 144 46 of of IN cord-155475-is3su3ga 144 47 resources resource NNS cord-155475-is3su3ga 144 48 ) ) -RRB- cord-155475-is3su3ga 144 49 . . . cord-155475-is3su3ga 145 1 Moreover moreover RB cord-155475-is3su3ga 145 2 , , , cord-155475-is3su3ga 145 3 in in IN cord-155475-is3su3ga 145 4 the the DT cord-155475-is3su3ga 145 5 left left JJ cord-155475-is3su3ga 145 6 border border NN cord-155475-is3su3ga 145 7 , , , cord-155475-is3su3ga 145 8 the the DT cord-155475-is3su3ga 145 9 low low JJ cord-155475-is3su3ga 145 10 saturation saturation NN cord-155475-is3su3ga 145 11 level level NN cord-155475-is3su3ga 145 12 causes cause NNS cord-155475-is3su3ga 145 13 I -PRON- PRP cord-155475-is3su3ga 145 14 to to TO cord-155475-is3su3ga 145 15 already already RB cord-155475-is3su3ga 145 16 saturate saturate VB cord-155475-is3su3ga 145 17 with with IN cord-155475-is3su3ga 145 18 just just RB cord-155475-is3su3ga 145 19 one one CD cord-155475-is3su3ga 145 20 neighbor neighbor NN cord-155475-is3su3ga 145 21 of of IN cord-155475-is3su3ga 145 22 the the DT cord-155475-is3su3ga 145 23 opposing oppose VBG cord-155475-is3su3ga 145 24 state state NN cord-155475-is3su3ga 145 25 . . . cord-155475-is3su3ga 146 1 In in IN cord-155475-is3su3ga 146 2 the the DT cord-155475-is3su3ga 146 3 regime regime NN cord-155475-is3su3ga 146 4 where where WRB cord-155475-is3su3ga 146 5 I -PRON- PRP cord-155475-is3su3ga 146 6 is be VBZ cord-155475-is3su3ga 146 7 almost almost RB cord-155475-is3su3ga 146 8 linear linear JJ cord-155475-is3su3ga 146 9 and and CC cord-155475-is3su3ga 146 10 H h NN cord-155475-is3su3ga 146 11 = = SYM cord-155475-is3su3ga 146 12 0 0 CD cord-155475-is3su3ga 146 13 , , , cord-155475-is3su3ga 146 14 gLRIE gLRIE NNP cord-155475-is3su3ga 146 15 and and CC cord-155475-is3su3ga 146 16 LRIE LRIE NNP cord-155475-is3su3ga 146 17 are be VBP cord-155475-is3su3ga 146 18 equivalent equivalent JJ cord-155475-is3su3ga 146 19 and and CC cord-155475-is3su3ga 146 20 perform perform VBP cord-155475-is3su3ga 146 21 almost almost RB cord-155475-is3su3ga 146 22 the the DT cord-155475-is3su3ga 146 23 same same JJ cord-155475-is3su3ga 146 24 . . . cord-155475-is3su3ga 147 1 The the DT cord-155475-is3su3ga 147 2 general general JJ cord-155475-is3su3ga 147 3 remark remark NN cord-155475-is3su3ga 147 4 on on IN cord-155475-is3su3ga 147 5 the the DT cord-155475-is3su3ga 147 6 results result NNS cord-155475-is3su3ga 147 7 is be VBZ cord-155475-is3su3ga 147 8 that that IN cord-155475-is3su3ga 147 9 gLRIE gLRIE NNP cord-155475-is3su3ga 147 10 appears appear VBZ cord-155475-is3su3ga 147 11 to to TO cord-155475-is3su3ga 147 12 be be VB cord-155475-is3su3ga 147 13 the the DT cord-155475-is3su3ga 147 14 most most RBS cord-155475-is3su3ga 147 15 versatile versatile JJ cord-155475-is3su3ga 147 16 and and CC cord-155475-is3su3ga 147 17 best well RBS cord-155475-is3su3ga 147 18 performing perform VBG cord-155475-is3su3ga 147 19 strategy strategy NN cord-155475-is3su3ga 147 20 in in IN cord-155475-is3su3ga 147 21 this this DT cord-155475-is3su3ga 147 22 setting setting NN cord-155475-is3su3ga 147 23 of of IN cord-155475-is3su3ga 147 24 competitive competitive JJ cord-155475-is3su3ga 147 25 spreading spreading NN cord-155475-is3su3ga 147 26 . . . cord-155475-is3su3ga 148 1 In in IN cord-155475-is3su3ga 148 2 this this DT cord-155475-is3su3ga 148 3 paper paper NN cord-155475-is3su3ga 148 4 we -PRON- PRP cord-155475-is3su3ga 148 5 discussed discuss VBD cord-155475-is3su3ga 148 6 a a DT cord-155475-is3su3ga 148 7 general general JJ cord-155475-is3su3ga 148 8 form form NN cord-155475-is3su3ga 148 9 of of IN cord-155475-is3su3ga 148 10 recurrent recurrent JJ cord-155475-is3su3ga 148 11 two two CD cord-155475-is3su3ga 148 12 - - HYPH cord-155475-is3su3ga 148 13 states state NNS cord-155475-is3su3ga 148 14 continuous continuous JJ cord-155475-is3su3ga 148 15 - - HYPH cord-155475-is3su3ga 148 16 time time NN cord-155475-is3su3ga 148 17 Markov Markov NNP cord-155475-is3su3ga 148 18 process process NN cord-155475-is3su3ga 148 19 that that WDT cord-155475-is3su3ga 148 20 allows allow VBZ cord-155475-is3su3ga 148 21 both both CC cord-155475-is3su3ga 148 22 non non JJ cord-155475-is3su3ga 148 23 - - JJ cord-155475-is3su3ga 148 24 linear linear JJ cord-155475-is3su3ga 148 25 node node NN cord-155475-is3su3ga 148 26 transition transition NN cord-155475-is3su3ga 148 27 functions function NNS cord-155475-is3su3ga 148 28 and and CC cord-155475-is3su3ga 148 29 competition competition NN cord-155475-is3su3ga 148 30 among among IN cord-155475-is3su3ga 148 31 the the DT cord-155475-is3su3ga 148 32 two two CD cord-155475-is3su3ga 148 33 states state NNS cord-155475-is3su3ga 148 34 . . . cord-155475-is3su3ga 149 1 We -PRON- PRP cord-155475-is3su3ga 149 2 then then RB cord-155475-is3su3ga 149 3 proposed propose VBD cord-155475-is3su3ga 149 4 the the DT cord-155475-is3su3ga 149 5 Generalized Generalized NNP cord-155475-is3su3ga 149 6 LRIE LRIE NNP cord-155475-is3su3ga 149 7 ( ( -LRB- cord-155475-is3su3ga 149 8 gLRIE glrie UH cord-155475-is3su3ga 149 9 ) ) -RRB- cord-155475-is3su3ga 149 10 strategy strategy NN cord-155475-is3su3ga 149 11 to to TO cord-155475-is3su3ga 149 12 suppress suppress VB cord-155475-is3su3ga 149 13 the the DT cord-155475-is3su3ga 149 14 diffusion diffusion NN cord-155475-is3su3ga 149 15 of of IN cord-155475-is3su3ga 149 16 the the DT cord-155475-is3su3ga 149 17 undesired undesired JJ cord-155475-is3su3ga 149 18 state state NN cord-155475-is3su3ga 149 19 . . . cord-155475-is3su3ga 150 1 Experiments experiment NNS cord-155475-is3su3ga 150 2 showed show VBD cord-155475-is3su3ga 150 3 that that IN cord-155475-is3su3ga 150 4 gLRIE gLRIE NNP cord-155475-is3su3ga 150 5 is be VBZ cord-155475-is3su3ga 150 6 well well RB cord-155475-is3su3ga 150 7 - - HYPH cord-155475-is3su3ga 150 8 adapted adapt VBN cord-155475-is3su3ga 150 9 to to IN cord-155475-is3su3ga 150 10 the the DT cord-155475-is3su3ga 150 11 considered consider VBN cord-155475-is3su3ga 150 12 setting setting NN cord-155475-is3su3ga 150 13 of of IN cord-155475-is3su3ga 150 14 competitive competitive JJ cord-155475-is3su3ga 150 15 spreading spreading NN cord-155475-is3su3ga 150 16 , , , cord-155475-is3su3ga 150 17 and and CC cord-155475-is3su3ga 150 18 makes make VBZ cord-155475-is3su3ga 150 19 better well JJR cord-155475-is3su3ga 150 20 use use NN cord-155475-is3su3ga 150 21 of of IN cord-155475-is3su3ga 150 22 the the DT cord-155475-is3su3ga 150 23 resources resource NNS cord-155475-is3su3ga 150 24 available available JJ cord-155475-is3su3ga 150 25 by by IN cord-155475-is3su3ga 150 26 targeting target VBG cord-155475-is3su3ga 150 27 the the DT cord-155475-is3su3ga 150 28 most most RBS cord-155475-is3su3ga 150 29 critical critical JJ cord-155475-is3su3ga 150 30 infected infected JJ cord-155475-is3su3ga 150 31 nodes node NNS cord-155475-is3su3ga 150 32 compared compare VBN cord-155475-is3su3ga 150 33 to to IN cord-155475-is3su3ga 150 34 competitors competitor NNS cord-155475-is3su3ga 150 35 from from IN cord-155475-is3su3ga 150 36 literature literature NN cord-155475-is3su3ga 150 37 . . . cord-155475-is3su3ga 151 1 Future future JJ cord-155475-is3su3ga 151 2 work work NN cord-155475-is3su3ga 151 3 could could MD cord-155475-is3su3ga 151 4 generalize generalize VB cord-155475-is3su3ga 151 5 to to IN cord-155475-is3su3ga 151 6 more more RBR cord-155475-is3su3ga 151 7 competing compete VBG cord-155475-is3su3ga 151 8 epidemic epidemic NN cord-155475-is3su3ga 151 9 states state NNS cord-155475-is3su3ga 151 10 and and CC cord-155475-is3su3ga 151 11 the the DT cord-155475-is3su3ga 151 12 incorporation incorporation NN cord-155475-is3su3ga 151 13 of of IN cord-155475-is3su3ga 151 14 factors factor NNS cord-155475-is3su3ga 151 15 related relate VBN cord-155475-is3su3ga 151 16 to to IN cord-155475-is3su3ga 151 17 the the DT cord-155475-is3su3ga 151 18 network network NN cord-155475-is3su3ga 151 19 structure structure NN cord-155475-is3su3ga 151 20 in in IN cord-155475-is3su3ga 151 21 the the DT cord-155475-is3su3ga 151 22 node node NN cord-155475-is3su3ga 151 23 scores score NNS cord-155475-is3su3ga 151 24 . . . cord-155475-is3su3ga 152 1 Winner winner NN cord-155475-is3su3ga 152 2 takes take VBZ cord-155475-is3su3ga 152 3 all all DT cord-155475-is3su3ga 152 4 : : : cord-155475-is3su3ga 152 5 competing compete VBG cord-155475-is3su3ga 152 6 viruses virus NNS cord-155475-is3su3ga 152 7 or or CC cord-155475-is3su3ga 152 8 ideas idea NNS cord-155475-is3su3ga 152 9 on on IN cord-155475-is3su3ga 152 10 fair fair JJ cord-155475-is3su3ga 152 11 - - HYPH cord-155475-is3su3ga 152 12 play play NN cord-155475-is3su3ga 152 13 networks network NNS cord-155475-is3su3ga 153 1 The the DT cord-155475-is3su3ga 153 2 dynamics dynamic NNS cord-155475-is3su3ga 153 3 of of IN cord-155475-is3su3ga 153 4 viral viral JJ cord-155475-is3su3ga 153 5 marketing marketing NN cord-155475-is3su3ga 153 6 Emotions emotion NNS cord-155475-is3su3ga 153 7 as as IN cord-155475-is3su3ga 153 8 infectious infectious JJ cord-155475-is3su3ga 153 9 diseases disease NNS cord-155475-is3su3ga 153 10 in in IN cord-155475-is3su3ga 153 11 a a DT cord-155475-is3su3ga 153 12 large large JJ cord-155475-is3su3ga 153 13 social social JJ cord-155475-is3su3ga 153 14 network network NN cord-155475-is3su3ga 153 15 : : : cord-155475-is3su3ga 153 16 the the DT cord-155475-is3su3ga 153 17 SISa SISa NNS cord-155475-is3su3ga 153 18 model model NN cord-155475-is3su3ga 154 1 The the DT cord-155475-is3su3ga 154 2 spread spread NN cord-155475-is3su3ga 154 3 of of IN cord-155475-is3su3ga 154 4 obesity obesity NN cord-155475-is3su3ga 154 5 in in IN cord-155475-is3su3ga 154 6 a a DT cord-155475-is3su3ga 154 7 large large JJ cord-155475-is3su3ga 154 8 social social JJ cord-155475-is3su3ga 154 9 network network NN cord-155475-is3su3ga 154 10 over over IN cord-155475-is3su3ga 154 11 32 32 CD cord-155475-is3su3ga 154 12 years year NNS cord-155475-is3su3ga 155 1 The the DT cord-155475-is3su3ga 155 2 collective collective JJ cord-155475-is3su3ga 155 3 dynamics dynamic NNS cord-155475-is3su3ga 155 4 of of IN cord-155475-is3su3ga 155 5 smoking smoking NN cord-155475-is3su3ga 155 6 in in IN cord-155475-is3su3ga 155 7 a a DT cord-155475-is3su3ga 155 8 large large JJ cord-155475-is3su3ga 155 9 social social JJ cord-155475-is3su3ga 155 10 network network NN cord-155475-is3su3ga 156 1 The the DT cord-155475-is3su3ga 156 2 spread spread NN cord-155475-is3su3ga 156 3 of of IN cord-155475-is3su3ga 156 4 alcohol alcohol NN cord-155475-is3su3ga 156 5 consumption consumption NN cord-155475-is3su3ga 156 6 behavior behavior NN cord-155475-is3su3ga 156 7 in in IN cord-155475-is3su3ga 156 8 a a DT cord-155475-is3su3ga 156 9 large large JJ cord-155475-is3su3ga 156 10 social social JJ cord-155475-is3su3ga 156 11 network network NN cord-155475-is3su3ga 156 12 Infectious infectious JJ cord-155475-is3su3ga 156 13 disease disease NN cord-155475-is3su3ga 156 14 modeling modeling NN cord-155475-is3su3ga 156 15 of of IN cord-155475-is3su3ga 156 16 social social JJ cord-155475-is3su3ga 156 17 contagion contagion NN cord-155475-is3su3ga 156 18 in in IN cord-155475-is3su3ga 156 19 networks network NNS cord-155475-is3su3ga 156 20 On on IN cord-155475-is3su3ga 156 21 the the DT cord-155475-is3su3ga 156 22 vulnerability vulnerability NN cord-155475-is3su3ga 156 23 of of IN cord-155475-is3su3ga 156 24 large large JJ cord-155475-is3su3ga 156 25 graphs graph NNS cord-155475-is3su3ga 156 26 A a DT cord-155475-is3su3ga 156 27 greedy greedy JJ cord-155475-is3su3ga 156 28 approach approach NN cord-155475-is3su3ga 156 29 for for IN cord-155475-is3su3ga 156 30 dynamic dynamic JJ cord-155475-is3su3ga 156 31 control control NN cord-155475-is3su3ga 156 32 of of IN cord-155475-is3su3ga 156 33 diffusion diffusion NN cord-155475-is3su3ga 156 34 processes process NNS cord-155475-is3su3ga 156 35 in in IN cord-155475-is3su3ga 156 36 networks network NNS cord-155475-is3su3ga 156 37 Interacting interact VBG cord-155475-is3su3ga 156 38 viruses virus NNS cord-155475-is3su3ga 156 39 in in IN cord-155475-is3su3ga 156 40 networks network NNS cord-155475-is3su3ga 156 41 : : : cord-155475-is3su3ga 156 42 can can MD cord-155475-is3su3ga 156 43 both both DT cord-155475-is3su3ga 156 44 survive survive VB cord-155475-is3su3ga 156 45 ? ? . cord-155475-is3su3ga 157 1 Suppressing suppress VBG cord-155475-is3su3ga 157 2 epidemics epidemic NNS cord-155475-is3su3ga 157 3 in in IN cord-155475-is3su3ga 157 4 networks network NNS cord-155475-is3su3ga 157 5 using use VBG cord-155475-is3su3ga 157 6 priority priority NN cord-155475-is3su3ga 157 7 planning plan VBG cord-155475-is3su3ga 157 8 Optimal Optimal NNP cord-155475-is3su3ga 157 9 control control NN cord-155475-is3su3ga 157 10 of of IN cord-155475-is3su3ga 157 11 epidemics epidemic NNS cord-155475-is3su3ga 157 12 in in IN cord-155475-is3su3ga 157 13 metapopulations metapopulation NNS cord-155475-is3su3ga 157 14 Optimizing optimize VBG cord-155475-is3su3ga 157 15 the the DT cord-155475-is3su3ga 157 16 control control NN cord-155475-is3su3ga 157 17 of of IN cord-155475-is3su3ga 157 18 disease disease NN cord-155475-is3su3ga 157 19 infestations infestation NNS cord-155475-is3su3ga 157 20 at at IN cord-155475-is3su3ga 157 21 the the DT cord-155475-is3su3ga 157 22 landscape landscape NN cord-155475-is3su3ga 157 23 scale scale NN