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arXiv · 0811.2702

Coloring plane graphs with independent crossings

Daniel Král'·Ladislav Stacho
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Abstract

We show that every plane graph with maximum face size four whose all faces of size four are vertex-disjoint is cyclically 5-colorable. This answers a question of Albertson whether graphs drawn in the plane with all crossings independent are 5-colorable.

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Daniel Král', Ladislav Stacho. 2008-11-17. Coloring plane graphs with independent crossings. https://arxiv.org/abs/0811.2702

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