A shortest-path algorithm with expected time O(n2 log n log* n)

  • Authors:
  • Peter Bloniarz

  • Affiliations:
  • -

  • Venue:
  • STOC '80 Proceedings of the twelfth annual ACM symposium on Theory of computing
  • Year:
  • 1980

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Abstract

We present an algorithm which finds the shortest distance between all pairs of points in a non-negatively weighted directed graph in the average time stated in the title. This algorithm, an extension of Spira's solution [Sp], executes in the stated time over quite general classes of probability distributions on graphs.