Note on the number of proper colorings of a graph

Mathematics – Combinatorics

Scientific paper

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Scientific paper

We present a simpler proof of a bound on the number of proper colorings of a
graph that was obtained recently by Liu and Murty using Tur'an sieve (in fact,
we prove a stronger inequality). We also point out that these results are
subsumed in a stronger result due to Lazebnik in 1990.

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