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Bibliographic Details
Main Authors: Ichihara, Kazuhiro, Tamura, Yuha
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2602.19426
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Table of Contents:
  • 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.