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A small non-\(\mathbb Z_4\)-colorable planar graph

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Publication:879348
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DOI10.1016/j.disc.2006.09.003zbMath1119.05046OpenAlexW1563206199WikidataQ33418612 ScholiaQ33418612MaRDI QIDQ879348

Mickaël Montassier

Publication date: 11 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.disc.2006.09.003


zbMATH Keywords

combinatorial problemschoosabilitygroup coloring


Mathematics Subject Classification ID

Coloring of graphs and hypergraphs (05C15)


Related Items (3)

Generalized signed graphs of large girth and large chromatic number ⋮ \(4\)-colouring of generalized signed planar graphs ⋮ Group chromatic number of Halin graphs




Cites Work

  • Unnamed Item
  • List colourings of planar graphs
  • Group connectivity of graphs --- a nonhomogeneous analogue of nowhere-zero flow properties
  • The 4-choosability of plane graphs without 4-cycles
  • Every planar graph is 5-choosable
  • Group chromatic number of graphs without \(K_5\)-minors
  • Choosability of \(K_5\)-minor-free graphs
  • 3-list-coloring planar graphs of girth 5
  • A not 3-choosable planar graph without 3-cycles
  • A note on group colorings




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