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Vertex Disjoint Paths on Clique-Width Bounded Graphs

Extended Abstract
  • Frank Gurski
  • Egon Wanke
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2976)

Abstract

We show that l vertex disjoint paths between l pairs of vertices can be found in linear time for co-graphs but is NP-complete for graphs of NLC-width at most 4 and clique-width at most 7. This is the first inartificial graph problem known to be NP-complete on graphs of bounded clique-width but solvable in linear time on co-graphs and graphs of bounded tree-width.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Frank Gurski
    • 1
  • Egon Wanke
    • 1
  1. 1.Department of Computer ScienceDüsseldorfGermany

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