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Optimal parallel algorithms for b-matchings in trees

  • Constantine N. K. Osiakwan
  • Selim G. Akl
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 401)

Abstract

We present adaptive parallel algorithms for b — matchings in trees. The algorithms are designed using the exclusive-read exclusive-write parallel random-access machine (EREW PRAM) model of parallel computation. For a tree of n vertices, the algorithms run in O(n/p+log n) time using p processors (pn). When pn/(log n), the algorithms are cost optimal.

Ordinary matching problems are special cases of b — matching problems. The best previously known parallel algorithm for ordinary matching in trees runs in O(log n) time using O(n) processors on the EREW PRAM model. Our algorithms achieve the same time complexity with fewer processors.

Keywords

b — matching matching tree parallel algorithm EREW PRAM postorder numbering minimum set cover maximum independent set 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Constantine N. K. Osiakwan
    • 1
  • Selim G. Akl
    • 1
  1. 1.Department of Computing and Information ScienceQueen's UniversityKingstonCanada

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