A short list color proof of Grötzsch's theorem

  • Authors:
  • Carsten Thomassen

  • Affiliations:
  • Department of Mathematics, Technical University of Denmark, DK-2800 Lyngby, Denmark

  • Venue:
  • Journal of Combinatorial Theory Series B
  • Year:
  • 2003

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Abstract

We give a short proof of the result that every planar graph of girth 5 is 3-choosable and hence also of Grötzsch's theorem saying that every planar triangle-free graph is 3-colorable.