• Title of article

    A new characterization of trivially perfect graphs

  • Author/Authors

    Rubio-Montiel, Christian Universidad Nacional Autonoma de Mexico, Ciudad Universitaria - Instituto de Matematicas, Mexico

  • From page
    22
  • To page
    26
  • Abstract
    A graph G is trivially perfect if for every induced subgraph the cardinality of the largest set of pairwise nonadjacent vertices (the stability number) α(G) equals the number of (maximal) cliquesm(G). We characterize the trivially perfect graphs in terms of vertex-coloring and we extend somedefinitions to infinite graphs.
  • Keywords
    Perfect graphs , complete coloring , Grundy number , forbidden graph characterization
  • Journal title
    Electronic Journal of Graph Theory and Applications (EJGTA)
  • Journal title
    Electronic Journal of Graph Theory and Applications (EJGTA)
  • Record number

    2621234