List coloring and diagonal coloring for plane graphs of diameter two

Danjun Huang, Yiqiao Wang, Jing Lv, Yanping Yang and Weifan Wang

Applied Mathematics and Computation, 2019, vol. 363, issue C, -

Abstract: Let G be a maximal plane graph of diameter at most two. Let χl(G) and χd(G) denote the list chromatic number and the diagonal chromatic number of G, respectively. In this paper, we study the structure of G and show the following results: (1) χl(G) ≤ 4; and (2) χd(G) ≤ 9, and χd(G)=9 if and only if G is a specific graph on nine vertices.

Keywords: Plane graph of diameter two; List coloring; Diagonal coloring (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:363:y:2019:i:c:48

DOI: 10.1016/j.amc.2019.124562

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