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arXiv · 0811.2704

Cyclic colorings of plane graphs with independent faces

Jernej Azarija·Daniel Král'·Rok Erman·Matjaz Krnc·Ladislav Stacho
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Abstract

Let G be a plane graph with maximum face size D. If all faces of G with size four or more are vertex disjoint, then G has a cyclic coloring with D+1 colors, i.e., a coloring such that all vertices incident with the same face receive distinct colors.

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Jernej Azarija, Daniel Král', Rok Erman, Matjaz Krnc, Ladislav Stacho. 2008-11-17. Cyclic colorings of plane graphs with independent faces. https://arxiv.org/abs/0811.2704

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