Shortest Paths in Planar Graphs with Real Lengths in O(nlog2n/loglogn) Time

  • Shay Mozes
  • Christian Wulff-Nilsen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6347)


Given an n-vertex planar directed graph with real edge lengths and with no negative cycles, we show how to compute single-source shortest path distances in the graph in O(nlog2 n/loglogn) time with O(n) space. This improves on a recent O(nlog2 n) time bound by Klein et al.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Shay Mozes
    • 1
  • Christian Wulff-Nilsen
    • 2
  1. 1.Department of Computer ScienceBrown UniversityProvidenceUSA
  2. 2.Department of Computer ScienceUniversity of CopenhagenCopenhagenDenmark

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