A slightly improved sub-cubic algorithm for the all pairs shortest paths problem with real edge lengths

  • Authors:
  • Uri Zwick

  • Affiliations:
  • School of Computer Science, Tel Aviv University, Tel Aviv, Israel

  • Venue:
  • ISAAC'04 Proceedings of the 15th international conference on Algorithms and Computation
  • Year:
  • 2004

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Abstract

We present an $O(n^{3}\sqrt{{\rm log log}n}/{\rm log} n)$ time algorithm for the All Pairs Shortest Paths (APSP) problem for directed graphs with real edge lengths This improves, by a factor of about $\sqrt{{\rm log} n}$, previous algorithms for the problem obtained by Fredman, Takaoka and Dobosiewicz.