Fault-tolerant de Bruijn and shuffle-exchange networks

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

This publication has 12 references indexed in Scilit: