Journal of Parallel and Distributed Computing
Design of nonequivalent self-routing networks based on a matrix model
Journal of Parallel and Distributed Computing
Universal multistage networks via linear permutations
Proceedings of the 1991 ACM/IEEE conference on Supercomputing
Self-routing algorithms for strongly regular multistage interconnection networks
Journal of Parallel and Distributed Computing
Design and performance of multipath MIN architectures
SPAA '92 Proceedings of the fourth annual ACM symposium on Parallel algorithms and architectures
Parallel Permutations of Data: A Benes Network Control Algorithm for Frequently Used Permutations
IEEE Transactions on Computers
Graph Theoretical Analysis and Design of Multistage Interconnection Networks
IEEE Transactions on Computers
Design and Performance of Generalized Interconnection Networks
IEEE Transactions on Computers
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We present an algorithm that characterizes the set of permutations realizable in a single pass by a buddy-type MIN. We use the algorithm to develop a procedure that defines a buddy-type network which will realize a given set of permutations in a single pass through the network. We also present an algorithm to define a biped-type network which realizes a given set of permutations in a single pass. This algorithm is useful when the set of permutations cannot be realized by any buddy-type network in a single pass.