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Embedding cube-connected cycles graphs into faulty hypercubes

Bruck, Jehoshua and Cypher, Robert and Soroker, Danny (1994) Embedding cube-connected cycles graphs into faulty hypercubes. IEEE Transactions on Computers, 43 (10). pp. 1210-1220. ISSN 0018-9340. doi:10.1109/12.324546.

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We consider the problem of embedding a cube-connected cycles graph (CCC) into a hypercube with edge faults. Our main result is an algorithm that, given a list of faulty edges, computes an embedding of the CCC that spans all of the nodes and avoids all of the faulty edges. The algorithm has optimal running time and tolerates the maximum number of faults (in a worst-case setting). Because ascend-descend algorithms can be implemented efficiently on a CCC, this embedding enables the implementation of ascend-descend algorithms, such as bitonic sort, on hypercubes with edge faults. We also present a number of related results, including an algorithm for embedding a CCC into a hypercube with edge and node faults and an algorithm for embedding a spanning torus into a hypercube with edge faults.

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Bruck, Jehoshua0000-0001-8474-0812
Additional Information:© Copyright 1994 IEEE. Reprinted with permission. Manuscript received October 5, 1992; revised August 27, 1993. We would like to thank the anonymous referees for their helpful comments and suggestions.
Subject Keywords:Cube-connected cycles; fault tolerance; graph embedding; gray code; mesh; parallel computing; fault tolerant computing; hypercube networks; reliability; ascend-descend algorithms; bitonic sort; cube-connected cycle graphs; faulty hypercubes; spanning torus
Issue or Number:10
Record Number:CaltechAUTHORS:BRUieeeetc94
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:12168
Deposited On:28 Oct 2008 16:33
Last Modified:08 Nov 2021 22:26

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