Shortest Paths between Shortest Paths and Independent Sets

  • Marcin Kamiński
  • Paul Medvedev
  • Martin Milanič
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6460)

Abstract

We study problems of reconfiguration of shortest paths in graphs. We prove that the shortest reconfiguration sequence can be exponential in the size of the graph and that it is NP-hard to compute the shortest reconfiguration sequence even when we know that the sequence has polynomial length. Moreover, we also study reconfiguration of independent sets in three different models and analyze relationships between these models, observing that shortest path reconfiguration is a special case of independent set reconfiguration in perfect graphs, under any of the three models. Finally, we give polynomial results for restricted classes of graphs (even-hole-free and P4-free graphs).

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Marcin Kamiński
    • 1
  • Paul Medvedev
    • 2
  • Martin Milanič
    • 3
  1. 1.Département d’InformatiqueUniversité Libre de BruxellesBrusselsBelgium
  2. 2.Department of Computer ScienceUniversity of TorontoTorontoCanada
  3. 3.FAMNIT and PINTUniversity of PrimorskaKoperSlovenia

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