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A note on 3-distance coloring of planar graphs

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Publication:6563283
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DOI10.1007/S41980-023-00848-7zbMATH Open1541.05036MaRDI QIDQ6563283

Kenta Ozeki, Morteza Hasanvand

Publication date: 27 June 2024

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)




zbMATH Keywords

planar graphsubcubic graphdischarging methoddistance coloring


Mathematics Subject Classification ID

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


Cites Work

  • Map-colour theorem.
  • The square of a planar cubic graph is 7-colorable
  • A unified approach to distance-two colouring of graphs on surfaces
  • Brooks' theorem on powers of graphs
  • A bound on the chromatic number of the square of a planar graph
  • List Colouring Squares of Planar Graphs
  • List-coloring the square of a subcubic graph
  • Every planar map is four colorable
  • Coloring Powers of Planar Graphs
  • On Representatives of Subsets







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