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Israel Journal of Mathematics

, Volume 14, Issue 4, pp 390–408 | Cite as

Acyclic colorings of planar graphs

  • Branko Grünbaum
Article

Abstract

A coloring of the vertices of a graph byk colors is called acyclic provided that no circuit is bichromatic. We prove that every planar graph has an acyclic coloring with nine colors, and conjecture that five colors are sufficient. Other results on related types of colorings are also obtained; some of them generalize known facts about “point-arboricity”.

Keywords

Planar Graph Chromatic Number Outerplanar Graph Simple Circuit Distinguished Triangle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Hebrew University 1973

Authors and Affiliations

  • Branko Grünbaum
    • 1
  1. 1.University of WashingtonSeattleU.S.A.

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