The half-monochromatic colorings of plane graphs with even polygonal faces
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866908848443359232 |
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| author | Ichihara, Kazuhiro Tamura, Yuha |
| author_facet | Ichihara, Kazuhiro Tamura, Yuha |
| 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_19426 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The half-monochromatic colorings of plane graphs with even polygonal faces Ichihara, Kazuhiro Tamura, Yuha Combinatorics Geometric Topology 05C15, 05C10 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. |
| title | The half-monochromatic colorings of plane graphs with even polygonal faces |
| topic | Combinatorics Geometric Topology 05C15, 05C10 |
| url | https://arxiv.org/abs/2602.19426 |