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arXiv · 1407.2487

4-coloring $P_6$-free graphs with no induced 5-cycles

Maria Chudnovsky·Peter Maceli·Juraj Stacho·Mingxian Zhong
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Abstract

We show that the 4-coloring problem can be solved in polynomial time for graphs with no induced 5-cycle $C_5$ and no induced 6-vertex path $P_6$.

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Maria Chudnovsky, Peter Maceli, Juraj Stacho, Mingxian Zhong. 2014-07-09. 4-coloring $P_6$-free graphs with no induced 5-cycles. https://arxiv.org/abs/1407.2487

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