Shortest paths in random weighted graphs

  • Scott K. Walley
  • Harry H. Tan
Session 4A: Graph Algorithms
Part of the Lecture Notes in Computer Science book series (LNCS, volume 959)


We consider the probability distribution of the cost of shortest paths and the diameter in a complete, weighted digraph with non-negative random edge costs. Asymptotic results as the number of nodes goes to infinity are developed and applied to extend several probabilistic shortest path algorithms to edge cost distributions having a general Taylor's series at zero edge cost.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Scott K. Walley
    • 1
  • Harry H. Tan
    • 1
  1. 1.University of California, IrvineIrvineUSA

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