Vertex Coloring of Comparability+ke and –ke Graphs

  • Yasuhiko Takenaga
  • Kenichi Higashide
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4271)

Abstract

\(\mathcal{F}+k\)e and \(\mathcal{F}-k\)e graphs are classes of graphs close to graphs in a graph class \(\mathcal{F}\). They are the classes of graphs obtained by adding or deleting at most k edges from a graph in \(\mathcal{F}\). In this paper, we consider vertex coloring of comparability+ke and comparability–ke graphs. We show that for comparability+ke graphs, vertex coloring is solved in polynomial time for k=1 and NP-complete for k ≥2. We also show that vertex coloring of comparability–1e graphs is solved in polynomial time.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Yasuhiko Takenaga
    • 1
  • Kenichi Higashide
    • 1
  1. 1.The University of Electro-CommunicationsTokyoJapan

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