Hamiltonian Embedding in Crossed Cubes with Failed Links

  • Authors:

  • Dajin Wang

  • Affiliations:

  • Montclair State University, Montclair

  • Venue:
  • IEEE Transactions on Parallel and Distributed Systems
  • Year:
  • 2012

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Abstract

The crossed cube is a prominent variant of the well known, highly regular-structured hypercube. In [24], it is shown that due to the loss of regularity in link topology, generating Hamiltonian cycles, even in a healthy crossed cube, is a more complicated procedure than in the hypercube, and fewer Hamiltonian cycles can be generated in the crossed cube. Because of the importance of fault-tolerance in interconnection networks, in this paper, we treat the problem of embedding Hamiltonian cycles into a crossed cube with failed links. We establish a relationship between the faulty link distribution and the crossed cube's tolerability. A succinct algorithm is proposed to find a Hamiltonian cycle in a CQ_n tolerating up to n-2 failed links.