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Cyclic coloring of plane graphs with maximum face size 16 and 17
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Dvořák, Zdeněk, Hebdige , Michael, Hlasek, Filip, Králʼ, Daniel and Noel, Jonathan A. (2021) Cyclic coloring of plane graphs with maximum face size 16 and 17. European Journal of Combinatorics, 94 . 103287. doi:10.1016/j.ejc.2020.103287
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WRAP-Cyclic-coloring-plane-graphs-maximum-face-Kral-2020.pdf - Accepted Version - Requires a PDF viewer. Available under License Creative Commons Attribution Non-commercial No Derivatives 4.0. Download (796Kb) | Preview |
Official URL: https://doi.org/10.1016/j.ejc.2020.103287
Abstract
Plummer and Toft conjectured in 1987 that the vertices of every 3-connected plane graph with maximum face size D can be colored using at most D+2 colors in such a way that no face is incident with two vertices of the same color. The conjecture has been proven for D=3, D=4 and D>=18. We prove the conjecture for D=16 and D=17.
| Item Type: | Journal Article | |||||||||||||||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||||||||||||||
| Divisions: | Faculty of Science > Computer Science Faculty of Science > Mathematics |
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| Library of Congress Subject Headings (LCSH): | Charts, diagrams, etc., Graph coloring, Graph theory | |||||||||||||||||||||
| Journal or Publication Title: | European Journal of Combinatorics | |||||||||||||||||||||
| Publisher: | Elsevier | |||||||||||||||||||||
| ISSN: | 0195-6698 | |||||||||||||||||||||
| Official Date: | May 2021 | |||||||||||||||||||||
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| Volume: | 94 | |||||||||||||||||||||
| Article Number: | 103287 | |||||||||||||||||||||
| DOI: | 10.1016/j.ejc.2020.103287 | |||||||||||||||||||||
| Status: | Peer Reviewed | |||||||||||||||||||||
| Publication Status: | Published | |||||||||||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||||||||||||||
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