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Hamiltonian Embedding in Crossed Cubes with Failed Links
Nov. 2012 (vol. 23 no. 11)
pp. 2117-2124
Dajin Wang, Montclair State University, Montclair
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.
Index Terms:
Hypercubes,Fault tolerance,Fault tolerant systems,Lead,Joining processes,Proposals,interconnection networks,Crossed cube,embedding,fault tolerance,faulty links,Hamiltonian cycle
Dajin Wang, "Hamiltonian Embedding in Crossed Cubes with Failed Links," IEEE Transactions on Parallel and Distributed Systems, vol. 23, no. 11, pp. 2117-2124, Nov. 2012, doi:10.1109/TPDS.2012.30
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