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arXiv · 2602.19426

The half-monochromatic colorings of plane graphs with even polygonal faces

Kazuhiro Ichihara·Yuha Tamura
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Abstract

On the maximum number of colors for proper anti-rainbow colorings on a planar quadrangulation, an upper bound was given by Enami-Ozeki-Yamaguchi in terms of the independence number. In this paper, as an extension, we introduce the half-monochromatic coloring on a plane graph with even polygonal faces, and give an upper bound on the maximum number of colors for such colorings in terms of the independence number.

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Kazuhiro Ichihara, Yuha Tamura. 2026-02-23. The half-monochromatic colorings of plane graphs with even polygonal faces. https://arxiv.org/abs/2602.19426

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