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Third case of the cyclic coloring conjecture

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Publication:322178
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DOI10.1016/j.endm.2015.06.003zbMath1346.05070arXiv1501.06624OpenAlexW1564998533WikidataQ57601341 ScholiaQ57601341MaRDI QIDQ322178

Michael Hebdige, Daniel Král'

Publication date: 14 October 2016

Full work available at URL: https://arxiv.org/abs/1501.06624


zbMATH Keywords

graph coloringplanar graphscyclic coloringfacial coloring


Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Coloring of graphs and hypergraphs (05C15)




Cites Work

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  • Facial colorings using Hall's theorem
  • Cyclic coloring of plane graphs
  • Every planar map is four colorable. I: Discharging
  • Every planar map is four colorable. II: Reducibility
  • On cyclic colorings and their generalizations
  • Cyclic, diagonal and facial colorings
  • A new bound on the cyclic chromatic number
  • Colorings of plane graphs: a survey
  • On vertex types and cyclic colourings of 3-connected plane graphs
  • Cyclic, diagonal and facial colorings -- a missing case
  • A unified approach to distance-two colouring of graphs on surfaces
  • Cyclic Chromatic Number of 3-Connected Plane Graphs
  • 3-Facial Coloring of Plane Graphs
  • Cyclic coloration of 3-polytopes
  • A new proof of the 6 color theorem


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