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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 ISSN 0195-6698.

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Official URL: https://doi.org/10.1016/j.ejc.2020.103287

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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
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science, Engineering and Medicine > Science > Computer Science
Faculty of Science, Engineering and Medicine > Science > Mathematics
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
Dates:
DateEvent
May 2021Published
30 December 2020Available
6 December 2020Accepted
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
Date of first compliant deposit: 9 December 2020
Date of first compliant Open Access: 30 December 2021
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
P202/12/G061Grantová Agentura České Republikyhttp://dx.doi.org/10.13039/501100001824
LL1201Czech Republic. Ministerstvo školství, mládeže a tělovýchovyhttp://viaf.org/viaf/312885350
Undergraduate Research Support SchemeUniversity of Warwickhttp://dx.doi.org/10.13039/501100000741
2014 Philip Leverhulme PrizeLeverhulme Trusthttp://dx.doi.org/10.13039/501100000275
(FP/2007-2013) / ERC Grant Agreement n. 616787European Research Councilhttp://dx.doi.org/10.13039/501100000781
MUNI Award in Science and HumanitiesMasarykova Univerzitahttp://dx.doi.org/10.13039/501100010653
Is Part Of: 1
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