Routing Algorithms for Cellular Interconnection Arrays

  • Authors:
  • A. Y. Oruc;D. Prakash

  • Affiliations:
  • Department of Electrical, Computer and Systems Engineering, Rensselaer Polytechnic Institute;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1984

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Abstract

The paper describes an algebraic model which provides a means for realizing an arbitrary permutation through various cellular-array-type networks. The model views a cellular array as an ordered set of transposition maps where each transposition corresponds to a permutation cell of the array. A permutation realizable by such an array is then expressed as a composition of the transpositions where the rules for the composition are determined by the topology of the array.