Interconnection networks for large-scale parallel processing: theory and case studies
Interconnection networks for large-scale parallel processing: theory and case studies
Equivalence of multistage interconnection networks
Information Processing Letters
Randomized parallel communications on an extension of the omega network
Journal of the ACM (JACM)
On-line algorithms for path selection in a nonblocking network
STOC '90 Proceedings of the twenty-second annual ACM symposium on Theory of computing
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Reconfiguration with Time Division Multiplexed MIN's for Multiprocessor Communications
IEEE Transactions on Parallel and Distributed Systems
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A strategy for dealing with communication conflicts that occur in omega networks is presented. The strategy operates by implementing the dual path property of omega networks, which allows the source and destination processors to reverse roles for some of the messages that are being transmitted. For certain message patterns, such as reversal, produces a modified message pattern for which the network routes are disjoint. For a circuit switching mode in which the network links and switches are bidirectional, the disjoint set of routes for modified message pattern can be used to achieve conflict-free message transmission for the original message pattern. This strategy is investigated, and an efficient algorithm to determine whether it can be successfully applied to a given message pattern is presented.