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A Faster All-Pairs Shortest Path Algorithm for Real-Weighted Sparse Graphs

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Automata, Languages and Programming (ICALP 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2380))

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Abstract

We present a faster all-pairs shortest paths algorithm for arbitrary real-weighted directed graphs. The algorithm works in the fundamental comparison- addition model and runs in O(mn+n 2 log log n) time, where m and n are the number of edges & vertices, respectively. This is strictly faster than Johnson’s algorithm (for arbitrary edge-weights) and Dijkstra’s algorithm (for positive edge-weights) when m = o(n log n) and matches the running time of Hagerup’s APSP algorithm, which assumes integer edge-weights and a more powerful model of computation.

This work was supported by Texas Advanced Research Program Grant 003658-0029-1999, NSF Grant CCR-9988160, and an MCD Graduate Fellowship.

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Author information

Authors and Affiliations

  1. Department of Computer Sciences, The University of Texas at Austin, Austin, TX, 78712

    Seth Pettie

Authors
  1. Seth Pettie
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Editor information

Editors and Affiliations

  1. Institute of Theoretical Computer Science, ETH Zentrum, ETH Zürich, 8092, Zürich, Switzerland

    Peter Widmayer  & Stephan Eidenbenz  & 

  2. Department of Languages and Sciences of the Computation E.T.S. de Ingeniería Informática, University of Málaga, Campus de Teatinos, 29071, Málaga, Spain

    Francisco Triguero , Rafael Morales  & Ricardo Conejo ,  & 

  3. School of Cognitive and Computing Sciences, University of Sussex, Falmer, Brighton, BN1 9QN, UK

    Matthew Hennessy

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© 2002 Springer-Verlag Berlin Heidelberg

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Pettie, S. (2002). A Faster All-Pairs Shortest Path Algorithm for Real-Weighted Sparse Graphs. In: Widmayer, P., Eidenbenz, S., Triguero, F., Morales, R., Conejo, R., Hennessy, M. (eds) Automata, Languages and Programming. ICALP 2002. Lecture Notes in Computer Science, vol 2380. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45465-9_9

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  • DOI: https://doi.org/10.1007/3-540-45465-9_9

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43864-9

  • Online ISBN: 978-3-540-45465-6

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