Hypercube Computations on Partitioned Optical Passive Stars Networks

  • Authors:
  • Alessandro Mei;Romeo Rizzi

  • Affiliations:
  • IEEE;-

  • Venue:
  • IEEE Transactions on Parallel and Distributed Systems
  • Year:
  • 2006

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Abstract

This paper shows that an n=2^k processor Partitioned Optical Passive Stars (POPS) network with g groups and d processors per group can simulate every bidirectional move of an n processor hypercube using one slot when dg. Moreover, the same POPS network can simulate every monodirectional move of an n processor hypercube using one slot when d=g. All these results are shown to be optimal. Our simulations improve on the literature whenever d\neq g and directly yield several important consequences. For example, as a direct consequence of our simulations, a {\rm{POPS}} network, n=dg and d