Polychromatic 4-coloring of cubic bipartite plane graphs

Elad Horev, Matthew J. Katz, Roi Krakovski, Atsuhiro Nakamoto

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

It is proved that the vertices of a cubic bipartite plane graph can be colored with four colors such that each face meets all four colors. This is tight, since any such graph contains at least six faces of size four.

Original languageEnglish
Pages (from-to)715-719
Number of pages5
JournalDiscrete Mathematics
Volume312
Issue number4
DOIs
StatePublished - 28 Feb 2012

Keywords

  • Cubic bipartite plane graph
  • Eulerian triangulation
  • Polychromatic coloring

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