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Shortest paths in random weighted graphs

  • Session 4A: Graph Algorithms
  • Conference paper
  • First Online:
Computing and Combinatorics (COCOON 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 959))

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Abstract

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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References

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Authors and Affiliations

  1. University of California, Irvine, 92717, Irvine, CA, USA

    Scott K. Walley & Harry H. Tan

Authors
  1. Scott K. Walley
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  2. Harry H. Tan
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Editor information

Ding-Zhu Du Ming Li

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© 1995 Springer-Verlag Berlin Heidelberg

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Walley, S.K., Tan, H.H. (1995). Shortest paths in random weighted graphs. In: Du, DZ., Li, M. (eds) Computing and Combinatorics. COCOON 1995. Lecture Notes in Computer Science, vol 959. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0030835

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  • DOI: https://doi.org/10.1007/BFb0030835

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60216-3

  • Online ISBN: 978-3-540-44733-7

  • eBook Packages: Springer Book Archive

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