An Exact Algorithm for Minimum Distortion Embedding

  • Fedor V. Fomin
  • Daniel Lokshtanov
  • Saket Saurabh
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5911)


Let G be an unweighted graph on n vertices. We show that an embedding of the shortest path metric of G into the line with minimum distortion can be found in time 5 n + o(n). This is the first algorithm breaking the trivial n!-barrier.


Exact Algorithm Input Graph General Metrics Minimum Distortion Embedding Problem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Fedor V. Fomin
    • 1
  • Daniel Lokshtanov
    • 1
  • Saket Saurabh
    • 1
  1. 1.Department of InformaticsUniversity of BergenBergenNorway

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