id author title date pages extension mime words sentence flesch summary cache txt 9s161546c7g John Engbers Some problems involving H-colorings of graphs 2013 .txt text/plain 390 11 58 Writing hom(G, H ) for the number of H -colorings of G, we show that for δ = 1 and δ = 2 and fixed H , hom(G, H ) ≤ max{hom(Kδ+1, H ) n/δ+1 , hom(Kδ,δ, H ) 2δ , hom(Kδ,n−δ, H )} for any n vertex minimum degree δ graph G (for sufficiently large n). H -colorings generalize such graph theory notions as proper colorings and independent sets. cache/9s161546c7g.txt txt/9s161546c7g.txt