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- W2004120849 abstract "Let Kr = (a1, a2, …, ar), ai′s integers ≥2, r ≥ 1. By a Kr-coloring of a graph G we mean a coloring of the edges of G by distinct colors c1, c2, …, cr such that there are no complete subgraphs on ai vertices whose edges are all colored in color ci(i = 1, 2, …, r). In this paper, we consider Kr-colorings of the set Hlv of all graphs on v vertices which do not contain a complete subgraph on l vertices. The interesting cases are those with v ≥ R(Kr) ≥ l, where R(Kr) is the Ramsey number associated with Kr. Furthermore, we also construct a family of graphs ∈ Hlv with minimum v which cannot be Kr-colored." @default.
- W2004120849 created "2016-06-24" @default.
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- W2004120849 date "1972-02-01" @default.
- W2004120849 modified "2023-09-25" @default.
- W2004120849 title "On Ramsey numbers and Kr-coloring of graphs" @default.
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- W2004120849 doi "https://doi.org/10.1016/0095-8956(72)90034-2" @default.
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