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arXiv · 1705.03195

Validity of Borodin & Kostochka Conjecture for a Class of Graphs

Medha Dhurandhar
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Abstract

Borodin & Kostochka conjectured that if maximum degree of a graph is greater than or equal to 9, then the chromatic number of the graph is less than or equal to maximum of ω and maximum degree minus 1. Here we prove that this Conjecture is true for {P3 UNION K1}-free graphs and {K2 UNION complement of K2}-free graphs.

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Medha Dhurandhar. 2017-05-09. Validity of Borodin & Kostochka Conjecture for a Class of Graphs. https://arxiv.org/abs/1705.03195

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