Improved algorithm for all pairs shortest paths

  • Authors:
  • Yijie Han

  • Affiliations:
  • School of Computing and Engineering, University of Missouri at Kansas City, 5100 Rockhill Road, Kansas City, MO

  • Venue:
  • Information Processing Letters
  • Year:
  • 2004

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Abstract

We present an improved algorithm for all pairs shortest paths. For a graph of n vertices our algorithm runs in O(n3(log log n/log n)5/7) time. This improves the best previous result which runs in O(n3(log log n/log n)1/2) time.