Shortest paths in matrix multiplication time

  • Authors:
  • Piotr Sankowski

  • Affiliations:
  • Institute of Informatics, Warsaw University, Warsaw, Poland

  • Venue:
  • ESA'05 Proceedings of the 13th annual European conference on Algorithms
  • Year:
  • 2005

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Abstract

In this paper we present an ${\tilde O}(W n^{\omega})$ time algorithm solving single source shortest path problem in graphs with integer weights from the set {–W,...,0,...,W}, where ω O(nm) time.