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Brooks’ theorem on powers of graphs
Article de revue   Open Access   Avec comité de lecture

Brooks’ theorem on powers of graphs

Marthe Bonamy et Nicolas Bousquet
Discrete Mathematics, Vol.325, pp.12-16
06/2014

Résumé

We prove that for k ≥ 3, the bound given by Brooks' theorem on the chromatic number of k-th powers of graphs of maximum degree ∆ ≥ 3 can be lowered by 1, even in the case of online list coloring.

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