Pathwidth is NP-Hard for Weighted Trees

  • Rodica Mihai
  • Ioan Todinca
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5598)


The pathwidth of a graph G is the minimum clique number of H minus one, over all interval supergraphs H of G. We prove in this paper that the pathwidth problem is NP-hard for particular subclasses of chordal graphs, and we deduce that the problem remains hard for weighted trees. We also discuss subclasses of chordal graphs for which the problem is polynomial.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Rodica Mihai
    • 1
  • Ioan Todinca
    • 2
  1. 1.Department of InformaticsUniversity of BergenBergenNorway
  2. 2.LIFO, Université d’OrléansOrléans Cedex 2France

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