Every triangle-free induced subgraph of the triangular lattice is (5m, 2m)-choosable

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TitreEvery triangle-free induced subgraph of the triangular lattice is (5m, 2m)-choosable
Type de publicationJournal Article
Year of Publication2014
AuteursAubry Y, Godin J-C, Togni O
JournalDISCRETE APPLIED MATHEMATICS
Volume166
Pagination51-58
Date PublishedMAR 31
Type of ArticleArticle
ISSN0166-218X
Mots-clésChoosability, Radio channel assignment, Triangular lattice, Weighted graph
Résumé

A graph G is (a, b)-choosable if for any color list of size a associated with each vertex, one can choose a subset of b colors such that adjacent vertices are colored with disjoint color sets. This paper proves that for any integer m > 1, every finite triangle-free induced subgraph of the triangular lattice is (5m, 2m)-choosable. (C) 2013 Elsevier B.V. All rights reserved.

DOI10.1016/j.dam.2013.09.028