Exponentially many 5-list-colorings of planar graphs

  • Authors:
  • Carsten Thomassen

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

  • Venue:
  • Journal of Combinatorial Theory Series B
  • Year:
  • 2007

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Abstract

We prove that every planar graph with n vertices has at least 2^n^/^9 distinct list-colorings provided every vertex has at least five available colors.