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Fast algorithms for maintaining shortest paths in outerplanar and planar digraphs

  • Hristo N. Djidjev
  • Grammati E. Pantziou
  • Christos D. Zaroliagis
Communications
Part of the Lecture Notes in Computer Science book series (LNCS, volume 965)

Abstract

We present algorithms for maintaining shortest path information in dynamic outerplanar digraphs with sublogarithmic query time. By choosing appropriate parameters we achieve continuous trade-offs between the preprocessing, query, and update times. Our data structure is based on a recursive separator decomposition of the graph and it encodes the shortest paths between the members of a properly chosen subset of vertices. We apply this result to construct improved shortest path algorithms for dynamic planar digraphs.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Hristo N. Djidjev
    • 1
  • Grammati E. Pantziou
    • 2
  • Christos D. Zaroliagis
    • 3
  1. 1.Computer Science DeptRice UniversityHoustonUSA
  2. 2.Computer Science DeptUniversity of Central FloridaOrlandoUSA
  3. 3.Max-Planck Institut für InformatikSaarbrückenGermany

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