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Fault-tolerant de Bruijn and shuffle-exchange networks

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3 Author(s)
Bruck, J. ; Almaden Res. Center, IBM Corp., San Jose, CA, USA ; Cypher, R. ; Ching-Tien Ho

This paper addresses the problem of creating a fault-tolerant interconnection network for a parallel computer. Three topologies, namely, the base-2 de Bruijn graph, the base-m de Bruijn graph, and the shuffle-exchange, are studied. For each topology an N+k node fault-tolerant graph is defined. These fault-tolerant graphs have the property that given any set of k node faults, the remaining N nodes contain the desired topology as a subgraph. All of the constructions given are the best known in terms of the degree of the fault-tolerant graph. We also investigate the use of buses to reduce the degrees of the fault-tolerant graphs still further

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Parallel and Distributed Systems, IEEE Transactions on  (Volume:5 ,  Issue: 5 )