A Note on Dijkstra's Shortest Path Algorithm

  • Authors:
  • Donald B. Johnson

  • Affiliations:
  • Department of Computer Science, Cornell University, Ithaca, New York

  • Venue:
  • Journal of the ACM (JACM)
  • Year:
  • 1973

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Abstract

An assertion that Dijkstra's algorithm for shortest paths (adapted to allow arcs of negative weight) runs in O(n3) steps is disproved by showing a set of networks which take O(n2n) steps.