Optimizing Bull-Free Perfect Graphs

  • Authors:
  • Celina M. H. de Figueiredo;Frédéric Maffray

  • Affiliations:
  • -;-

  • Venue:
  • SIAM Journal on Discrete Mathematics
  • Year:
  • 2005

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Abstract

A bull is a graph with five vertices a,b,c,d,e and five edges ab, ac, bc, da, eb. Here we present polynomial-time combinatorial algorithms for the optimal weighted coloring and weighted clique problems in bull-free perfect graphs. The algorithms are based on a structural analysis and decomposition of bull-free perfect graphs.