Validity of Borodin & Kostochka Conjecture for a Class of Graphs
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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