Scaling Algorithms for the Shortest Paths Problem

  • Authors:
  • Andrew V. Goldberg

  • Affiliations:
  • -

  • Venue:
  • SIAM Journal on Computing
  • Year:
  • 1995

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Abstract

We describe a new method for designing scaling algorithms for the single-source shortest paths problem and use this method to obtain an $O(\sqrt n m \log N)$ algorithm for the problem. (Here $n$ and $m$ is the number of nodes and arcs in the input network and $N$ is essentially the absolute value of the most negative arc length, and arc lengths are assumed to be integral.) This improves previous bounds for the problem. The method extends to related problems.