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arXiv · 1702.00914

Improvement on Brook theorem for 2K2-free Graphs

Medha Dhurandhar
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Abstract

Here we prove that for a 2K2-free graph G with maximum degree greater than or equal to 5, the chromatic number is less than or equal to max{maximum degree-1, maximum clique size}. This implies that Borodin & Kostochka Conjecture is true for 2K2-free graphs.

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Medha Dhurandhar. 2017-02-03. Improvement on Brook theorem for 2K2-free Graphs. https://arxiv.org/abs/1702.00914

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