Shortest-path feasibility algorithms: An experimental evaluation

  • Authors:
  • Boris V. Cherkassky;Loukas Georgiadis;Andrew V. Goldberg;Robert E. Tarjan;Renato F. Werneck

  • Affiliations:
  • Central Economics and Mathematics Institute of the Russian Academy of Sciences;University of Western Macedonia, Kozani, Greece;Microsoft Research, Mountain View, CA;Princeton University, Princeton, NJ;Microsoft Research, Mountain View, CA

  • Venue:
  • Journal of Experimental Algorithmics (JEA)
  • Year:
  • 2010

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Abstract

This is an experimental study of algorithms for the shortest-path feasibility problem: Given a directed weighted graph, find a negative cycle or present a short proof that none exists. We study previously known and new algorithms. Our testbed is more extensive than those previously used, including both static and incremental problems, as well as worst-case instances. We show that, while no single algorithm dominates, a small subset (including new algorithms) has very robust performance in practice. Our work advances the state of the art in the area.