On the Correctness of Inside-Out Routing Algorithm

  • Authors:
  • M. K. Kim;H. Yoon;S. R. Maeng

  • Affiliations:
  • Woosuk Univ., Cheonbuk, Korea;KAIST, Taejon, Korea;KAIST, Taejon, Korea

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1997

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Abstract

Recently, a new routing algorithm called inside-out routing algorithm was proposed for routing an arbitrary permutation in the omega-based 2log2N stage networks. This paper discusses the problems of the inside-out routing algorithm and shows that the suggested condition for proper routing in the omega-omega network is insufficient. An extended necessary and sufficient condition for proper routing in the omega-omega network is also suggested. However, it is unknown if any permutation can be successfully routed by a heuristic algorithm which follows the condition. Thus, the rearrangeability of the omega-omega network still remains an open problem.