Measuring Indifference: Unit Interval Vertex Deletion

  • René van Bevern
  • Christian Komusiewicz
  • Hannes Moser
  • Rolf Niedermeier
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6410)


Making a graph unit interval by a minimum number of vertex deletions is NP-hard. The problem is motivated by applications in seriation and measuring indifference between data items. We present a fixed-parameter algorithm based on the iterative compression technique that finds in O((14k + 14) k + 1 kn 6) time a set of k vertices whose deletion from an n-vertex graph makes it unit interval. Additionally, we show that making a graph chordal by at most k vertex deletions is NP-complete even on {claw,net,tent}-free graphs.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • René van Bevern
    • 1
  • Christian Komusiewicz
    • 1
  • Hannes Moser
    • 1
  • Rolf Niedermeier
    • 1
  1. 1.Institut für InformatikFriedrich-Schiller-Universität JenaJenaGermany

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