Colorings of Plane Graphs Without Long Monochromatic Facial Paths
Let G be a plane graph. A facial path of G is a subpath of the boundary walk of a face of G. We prove that each plane graph admits a 3-coloring (a 2-coloring) such that every monochromatic facial path has at most 3 vertices (at most 4 vertices). These results are in a contrast with the results of Ch...
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| Hoofdauteurs: | , , |
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| Formaat: | Artigo |
| Taal: | Inglês |
| Gepubliceerd in: |
University of Zielona Góra
2021-08-01
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| Reeks: | Discussiones Mathematicae Graph Theory |
| Onderwerpen: | |
| Online toegang: | https://doi.org/10.7151/dmgt.2319 |
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