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The Parameterized Complexity of Local Search for TSP, More Refined

  • Jiong Guo
  • Sepp Hartung
  • Rolf Niedermeier
  • Ondřej Suchý
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7074)

Abstract

We extend previous work on the parameterized complexity of local search for the Travelling Salesperson Problem (TSP). So far, its parameterized complexity has been investigated with respect to the distance measures (which define the local search area) “Edge Exchange” and “Max-Shift”. We perform studies with respect to the distance measures “Swap” and “m-Swap”, “Reversal” and “m-Reversal”, and “Edit”, achieving both fixed-parameter tractability and W[1]-hardness results. Moreover, we provide non-existence results for polynomial-size problem kernels and we show that some in general W[1]-hard problems turn fixed-parameter tractable when restricted to planar graphs.

Keywords

Local Search Distance Measure Planar Graph Travel Salesman Problem Parameterized Complexity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Jiong Guo
    • 1
  • Sepp Hartung
    • 2
  • Rolf Niedermeier
    • 2
  • Ondřej Suchý
    • 1
  1. 1.Universität des SaarlandesSaarbrückenGermany
  2. 2.Institut für Softwaretechnik und Theoretische InformatikTU BerlinBerlinGermany

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