At Least Half Of All Graphs Satisfy χ\leq {1/4}ω+ {3/4}Δ + 1

Details At Least Half Of All Graphs Satisfy χ\leq {1/4}ω+ {3/4}Δ + 1 At Least Half Of All Graphs Satisfy χ\leq {1/4}ω+ {3/4}Δ + 1

2007-08-22

arxiv.org/abs/0708.2956v2

Mathematics

Combinatorics

Scientific paper

We prove that for any graph G at least one of G or $\bar{G}$ satisfies $\chi
\leq {1/4}\omega + {3/4}\Delta + 1$. In particular, self-complementary graphs
satisfy this bound.

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