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Note on the number of proper colorings of a graph

Martin Klazar
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Abstract

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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Martin Klazar. 2006-09-06. Note on the number of proper colorings of a graph. https://arxiv.org/abs/math/0609179

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