Partitioning and Permuting Properties of CC-Banyan Networks

  • Authors:
  • V. Cherkassky;M. Malek

  • Affiliations:
  • Univ. of Minnesota, MN;Univ. of Texas, Austin

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1989

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Abstract

A multicomputer network, called rectangular CC-banyan, is presented and formally defined. A graph-theoretic approach is used to study this network's permuting and partitioning properties. It is shown that a CC-banyan has a modular structure and hence can be recursively defined. A method for evaluation of the total number of permutations in CC-banyans is presented. Using this method, the analytical expressions for the number of permutations in CC-banyans with fan-outs of two and three are derived.