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A Note on Dijkstra's Shortest Path Algorithm

Published:01 July 1973Publication History
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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.

References

  1. 1 DIJKSTRA, E W. A note on two problems in connexion with graphs. Numer. Math. 1 (1959), 269-271.Google ScholarGoogle Scholar
  2. 2 :EDMONDS, J, AND KARe, R M Theoretical ~mprovements ~n algomthmic efficiency for network flow problems. J. ACM I9, 2 (Apr. 1972), 248-264 Google ScholarGoogle Scholar
  3. 3 FLOYD, R.W. Algomthm 97, shortest path. Comm ACM 5, 6 (June 1962), 345. Google ScholarGoogle Scholar

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  1. A Note on Dijkstra's Shortest Path Algorithm

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      cover image Journal of the ACM
      Journal of the ACM  Volume 20, Issue 3
      July 1973
      175 pages
      ISSN:0004-5411
      EISSN:1557-735X
      DOI:10.1145/321765
      Issue’s Table of Contents

      Copyright © 1973 ACM

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      Association for Computing Machinery

      New York, NY, United States

      Publication History

      • Published: 1 July 1973
      Published in jacm Volume 20, Issue 3

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