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The structure of circular decomposable metrics

  • George Christopher
  • Martin Farach
  • Michael Trick
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1136)

Abstract

Circular decomposable metrics (CDM) are sums of cut metrics that satisfy a circularity condition. A number of combinatorial optimization problems, including the traveling salesman problem, are easily solved if the underlying cost matrix represents a CDM. We give a linear time algorithm for recognizing CDMs and show that they are identical to another class of metrics: the Kalmanson metric.

Keywords

Travel Salesman Problem Travel Salesman Problem Hamiltonian Path Interval Graph Degree Constraint 
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 1996

Authors and Affiliations

  • George Christopher
    • 1
  • Martin Farach
    • 2
  • Michael Trick
    • 3
  1. 1.School of MathematicsCarnegie Mellon UniversityUSA
  2. 2.Department of Computer ScienceRutgers UniversityGermany
  3. 3.Graduate School of Industrial AdministrationCarnegie Mellon UniversityUSA

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