Extremal graphs for the list-coloring version of a theorem of Nordhaus and Gaddum

  • Authors:
  • Simone Dantas;Sylvain Gravier;Frédéric Maffray

  • Affiliations:
  • Universidade Federal do Rio de Janeiro, COPPE, Brazil;CNRS, Laboratoire Leibniz, 46 Avenue Félix Viallet, 38031 Grenoble Cédex, France;Universidade Federal do Rio de Janeiro, COPPE, Brazil

  • Venue:
  • Discrete Applied Mathematics - Brazilian symposium on graphs, algorithms and combinatorics
  • Year:
  • 2004

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Abstract

We characterize the graphs G such that Ch(G)+Ch(G-)=n+1, where Ch(G) is the choice number (list-chromatic number) of G and n is its number of vertices.