Edge coloring nearly bipartite graphs

  • Authors:
  • Bruce Reed

  • Affiliations:
  • CNRS, Paris, France

  • Venue:
  • Operations Research Letters
  • Year:
  • 1999

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Abstract

We give a simple polynomial time algorithm to compute the chromatic index of graphs which can be made bipartite by deleting a vertex. An analysis of this algorithm shows that for such graphs, the chromatic index is the roundup of the fractional chromatic index.