Concurrent Processing of Linearly Ordered Data Structures on Hypercube Multicomputers

  • Authors:
  • J. Ghosh;S. K. Das;A. John

  • Affiliations:
  • -;-;-

  • Venue:
  • IEEE Transactions on Parallel and Distributed Systems
  • Year:
  • 1994

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Abstract

The paper presents a simple and effective method for the concurrent manipulation oflinearly ordered data structures on hypercube systems. The method Is based on theexistence of an augmented binomial search tree, called the pruned binomial tree, rootedat any arbitrary processor node of the hypercube such that; every edge of the treecorresponds to a direct link between a pair of hypercube nodes; and the tree spans anyarbitrary sequence of n consecutive nodes containing the root, using a fanout of at most[log/sub 2/ n] and a depth of at most [log/sub 2/ n]+1. Search trees spanningnonoverlapping processor lists are formed using only local information, and can be usedconcurrently without contention problems. Thus, they can be used for performingoperations such as broadcast and merge simultaneously on sets with nonuniform sizes.Extensions of the tree to k-ary n-cubes and faulty hypercubes are presented.Applications of this concurrent data structure to low- and intermediate-level imageprocessing algorithms, and for dictionary operations involving multiple keys, are alsooutlined.