Optimal Simulation of Linear Multiprocessor Architectures on Multiply-Twisted Cube Using Generalized Gray Codes

  • Authors:
  • S. q. Zheng;Shahram Latifi

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Parallel and Distributed Systems
  • Year:
  • 1996

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Abstract

In this article, we consider the problem of simulating linear arrays and rings on the multiply-twisted cube. We introduce a new concept, the reflected link label sequence, and use it to define a generalized Gray Code (GGC). We show that GGCs can be easily used to identify Hamiltonian paths and cycles in the multiply-twisted cube. We also give a method for embedding a ring of arbitrary number of nodes into the multiply-twisted cube.