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arXiv · 1711.08710

Vertex partitions of $(C_3,C_4,C_6)$-free planar graphs

François Dross·Pascal Ochem
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Abstract

A graph is $(k_1,k_2)$-colorable if its vertex set can be partitioned into a graph with maximum degree at most $k_1$ and and a graph with maximum degree at most $k_2$. We show that every $(C_3,C_4,C_6)$-free planar graph is $(0,6)$-colorable. We also show that deciding whether a $(C_3,C_4,C_6)$-free planar graph is $(0,3)$-colorable is NP-complete.

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François Dross, Pascal Ochem. 2017-11-23. Vertex partitions of $(C_3,C_4,C_6)$-free planar graphs. https://arxiv.org/abs/1711.08710

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