Finding Lowest Common Ancestors in Parallel

  • Authors:
  • Yung H. Tsin

  • Affiliations:
  • Memorial Univ. of Newfoundland, St. John's, Canada

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1986

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Abstract

Two parallel algorithms for finding the lowest common ancestors of a set of vertex pairs Q (the query set) in a directed tree are presented. With all the overheads taken into account, these algorithms take O((n + QI) P log2 n) and O(n2/p + log2n) time, respectively, with p( 0) processors (n is the size of the tree). These results are better than the best known result in that the first achieves th