On the fractional chromatic index of a graph and its complement

  • Authors:

  • David Avis;Caterina De Simone;Bruce Reed

  • Affiliations:

  • School of Computer Science, McGill University, 3480 University Street, Montreal, Canada, H3A2A7;Istituto di Analisi dei Sistemi ed Informatica (IASI), CNR, Viale Manzoni 30, 00185 Rome, Italy;School of Computer Science, McGill University, 3480 University Street, Montreal, Canada, H3A2A7

  • Venue:
  • Operations Research Letters
  • Year:
  • 2005

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Abstract

Jensen and Toft conjectured that for a graph with an even number of vertices, either the minimum number of colours in a proper edge colouring is equal to the maximum vertex degree, or this is true in its complement. We prove a fractional version of this conjecture.