Planar graphs with Δ ≥ 8 are (Δ + 1)-edge-choosable

  • Marthe Bonamy
Conference paper
Part of the CRM Series book series (PSNS, volume 16)

Abstract

We consider the problem of list edge coloring for planar graphs. Edge coloring is the problem of coloring the edges while ensuring that two edges that are incident receive different colors. A graph is k-edge-choosable if for any assignment of k colors to every edge, there is an edge coloring such that the color of every edge belongs to its color assignment. Vizing conjectured in 1965 that every graph is (Δ + 1)-edge-choosable. In 1990, Borodin solved the conjecture for planar graphs with maximum degree Δ ≥ 9, and asked whether the bound could be lowered to 8. We prove here that planar graphs with Δ ≥ 8 are (Δ + 1)-edge-choosable.

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Copyright information

© Scuola Normale Superiore Pisa 2013

Authors and Affiliations

  • Marthe Bonamy
    • 1
  1. 1.LIRMMUniversité Montpellier 2France

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