Negative-cycle detection algorithms

  • Boris V. Cherkassky
  • Andrew V. Goldberg
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1136)

Abstract

We study the problem of finding a negative length cycle in a network. An algorithm for the negative cycle problem combines a shortest path algorithm and a cycle detection strategy. We study various combinations of shortest path algorithms and cycle detection strategies and find the best combinations. One of our discoveries is that a cycle detection strategy of Tarjan greatly improves practical performance of a classical shortest path algorithm, making it competitive with the fastest known algorithms on a wide range of problems. As a part of our study, we develop problem families for testing negative cycle algorithms.

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Copyright information

© Springer-Verlag 1996

Authors and Affiliations

  • Boris V. Cherkassky
    • 1
  • Andrew V. Goldberg
    • 2
  1. 1.Central Economics and Mathematics InstituteMoscowRussia
  2. 2.NEC Research Institute, Inc.Princeton

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