Interconnection Networks Based on a Generalization of Cube-Connected Cycles
IEEE Transactions on Computers
Parallel and distributed computation: numerical methods
Parallel and distributed computation: numerical methods
A Group-Theoretic Model for Symmetric Interconnection Networks
IEEE Transactions on Computers
A unified approach to off-line permutation routing on parallel networks
SPAA '90 Proceedings of the second annual ACM symposium on Parallel algorithms and architectures
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A tabular method for verification of data exchange algorithms on networks which possess a certain symmetry (whose underlying graph is a Cayley graph) is given. The algorithms use no intermediate buffering of messages.To illustrate this method, optimal total exchange (i.e., all-to-all personalised) algorithms are given for several much-used processor configurations, such as ring networks, the hypercube and symmetric meshes with wrap-around (two and three-dimensional). To the best of our knowledge the latter are new.