A mathematical abstraction of the rearrangeability conjecture for shuffle-exchange networks

  • Authors:
  • F. K. Hwang

  • Affiliations:
  • AT&T Bell Laboratories, Murray Hill, New Jersey 07974, USA

  • Venue:
  • Operations Research Letters
  • Year:
  • 1989

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Abstract

Shuffle-exchange networks have received a great deal of attention as interconnecting networks for parallel computing. One unsolved problem is the minimum by number of stages required by a shuffle-exchange network with 2^n inputs and outputs to be rearrangeable. It turns out that this problem was studied much earlier by Benes in his work on switching networks. Benes also conjectured that 2n - 1 stages suffice for rearrangeability and published the conjecture in a more general setting in 1975. So far, the conjecture has been verified only for n =