An optimal parallel algorithm for all-pairs shortest paths on unweighted interval graphs

  • Authors:
  • Madhumangal Pal;G. P. Bhattacharjee

  • Affiliations:
  • Department of Mathematics, Midnapore College, Midnapore - 711 101, India;Department of Mathematics, Indian Institute of Technology, Kharagpur-721302, INDIA

  • Venue:
  • Nordic Journal of Computing
  • Year:
  • 1997

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Abstract

A cost optimal parallel algorithm is presented to find the all-pairs shortest paths on an unweighted interval graph which takes O(n/p + log n) time on an EREW PRAM, where np and n represent respectively the number of processors and the number of vertices of the graph.