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Reconfiguring Independent Sets in Claw-Free Graphs

  • Paul Bonsma
  • Marcin Kamiński
  • Marcin Wrochna
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8503)

Abstract

We present a polynomial-time algorithm that, given two independent sets in a claw-free graph G, decides whether one can be transformed into the other by a sequence of elementary steps. Each elementary step is to remove a vertex v from the current independent set S and to add a new vertex w (not in S) such that the result is again an independent set. We also consider the more restricted model where v and w have to be adjacent.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Paul Bonsma
    • 1
  • Marcin Kamiński
    • 2
  • Marcin Wrochna
    • 2
  1. 1.Faculty of EEMCSUniversity of TwenteEnschedeThe Netherlands
  2. 2.Institute of Computer ScienceUniwersytet WarszawskiWarsawPoland

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