Parallel Processing with the Perfect Shuffle
IEEE Transactions on Computers
Data Manipulating Functions in Parallel Processors and Their Implementations
IEEE Transactions on Computers
On the Number of Permutations Performable by the Augmented Data Manipulator Network
IEEE Transactions on Computers
Interconnections Between Processors and Memory Modules Using the Shuffle-Exchange Network
IEEE Transactions on Computers
The Universality of the Shuffle-Exchange Network
IEEE Transactions on Computers
The Indirect Binary n-Cube Microprocessor Array
IEEE Transactions on Computers
Implementation of Permutation Functions in Illiac IV-Type Computers
IEEE Transactions on Computers
On a Class of Multistage Interconnection Networks
IEEE Transactions on Computers
Access and Alignment of Data in an Array Processor
IEEE Transactions on Computers
A Model of SIMD Machines and a Comparison of Various Interconnection Networks
IEEE Transactions on Computers
A Survey of Interconnection Networks
Computer
Interconnection networks: a survey and assessment
AFIPS '74 Proceedings of the May 6-10, 1974, national computer conference and exposition
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The correspondence presents three classes of cube-connected networks with individual stage control based on a group theoretic modeling of interconnection networks. It is shown that these classes of networks retain nonisomorphic groups of permutations. Although the permutations realizable by such networks are rather limited in number, the simplicity of their control scheme makes them attractive. Moreover, the interconnection power of these networks can be enhanced by simulating the networks which belong to one class by any member of that class.