An Optimal Algorithm for Permutation Admissibility to Multistage Interconnection Networks

  • Authors:
  • Mao Xu;Xiaojun Shen;Xiangzu Wang

  • Affiliations:
  • -;-;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1995

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Abstract

This paper introduces a simple O(NlogN) sequential algorithm that determines the admissibility of an arbitrary permutation to an N脳N Multistage Cube-Type Network (MCTN) implemented by 2 脳 2 switching elements (SEs) in contrast to previous O(Nlog2N) algorithms. It is proven that the new algorithm is optimal in the sense that any algorithm, based on bit-operations, has to examine at least (N/4)logN different bits among the total NlogN bits in the binary representations of the destinations numbered from 0 through N驴1.