Trans-dichotomous algorithms for minimum spanning trees and shortest paths

  • Authors:
  • Michael L. Fredman;Dan E. Willard

  • Affiliations:
  • -;-

  • Venue:
  • Journal of Computer and System Sciences - Special issue: 31st IEEE conference on foundations of computer science, Oct. 22–24, 1990
  • Year:
  • 1994

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Abstract

Two algorithms are presented: a linear time algorithm for the minimum spanning tree problem and an O(m + n log n/log log n) implementation of Dijkstra's shortest-path algorithm for a graph with n vertices and m edges. The second algorithm surpasses information theoretic limitations applicable to comparison-based algorithms. Both algorithms utilize new data structures that extend the fusion tree method.