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A Brooks-type bound for squares of \(K_{4}\)-minor-free graphs

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Publication:1045198
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DOI10.1016/j.disc.2009.07.004zbMath1198.05061OpenAlexW2081421959MaRDI QIDQ1045198

Douglas R. Woodall, Alexandr V. Kostochka, Lale Özkahya

Publication date: 15 December 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2009.07.004


zbMATH Keywords

chromatic numbervertex coloringseries-parallel graphsquare of a graphBrooks-type bound


Mathematics Subject Classification ID

Coloring of graphs and hypergraphs (05C15) Graph minors (05C83)


Related Items (2)

Graph \(r\)-hued colorings -- a survey ⋮ Bounding the chromatic number of squares of \(K_4\)-minor-free graphs



Cites Work

  • List-colouring the square of a \(K_4\)-minor-free graph
  • Coloring the square of a \(K_{4}\)-minor free graph
  • List Colouring Squares of Planar Graphs
  • A Property of 4-Chromatic Graphs and some Remarks on Critical Graphs
  • Choosability conjectures and multicircuits


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