Fault-Tolerant Ring Embedding in de Bruijn Networks

  • Authors:
  • Robert A. Rowley;Bella Bose

  • Affiliations:
  • -;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 1993

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Abstract

A method of embedding a ring in a d-ary de Bruijn multiprocessor network in the event of multiple node (processor) failures is presented. In particular, the algorithm guarantees that a (2/sup n/-n-1)-node ring will be found in a binary de Bruijn network with a single faulty node, where 2/sup n/ is the total number of nodes in the network. It is also shown that a (d/sup n/-1)-node ring can always be found in the presence of d-1 link failures, when d is a prime power and the network contains d/sup n/ nodes. The latter is accomplished by constructing d-1 edge-disjoint cycles each of length d/sup n/-1. A modification of the graph that allows it to admit a Hamiltonian cycle in the event of d-1 edge failures is also discussed.