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Hamiltonian Embedding in Crossed Cubes with Failed Links

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1 Author(s)
Dajin Wang ; Sch. of Comput. Sci. & Technol., Soochow Univ., Suzhou, China

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 CQn tolerating up to n-2 failed links.

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Parallel and Distributed Systems, IEEE Transactions on  (Volume:23 ,  Issue: 11 )