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The Theory Underlying the Partitioning of Permutation Networks
September 1980 (vol. 29 no. 9)
pp. 791-801
| ASCII Text | x | ||
| H.J. Siegel, "The Theory Underlying the Partitioning of Permutation Networks," IEEE Transactions on Computers, vol. 29, no. 9, pp. 791-801, September, 1980. | |||
| BibTex | x | ||
| @article{ 10.1109/TC.1980.1675678, author = {H.J. Siegel}, title = {The Theory Underlying the Partitioning of Permutation Networks}, journal ={IEEE Transactions on Computers}, volume = {29}, number = {9}, issn = {0018-9340}, year = {1980}, pages = {791-801}, doi = {http://doi.ieeecomputersociety.org/10.1109/TC.1980.1675678}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - JOUR JO - IEEE Transactions on Computers TI - The Theory Underlying the Partitioning of Permutation Networks IS - 9 SN - 0018-9340 SP791 EP801 EPD - 791-801 A1 - H.J. Siegel, PY - 1980 KW - SIMD machines KW - Cube network KW - Illiac KW - interconnection networks KW - multiple-SIMD (MSIMD) machines KW - parallel processing KW - partitionable computer systems KW - permutation networks KW - PM21 network KW - Shuffle-Exchange network VL - 29 JA - IEEE Transactions on Computers ER - | |||
The age of the microcomputer has made feasible large-scale multiprocessor systems. In order to use this parallel processing power in the form of a flexible multiple-SIMD (MSIMD) system, the interconnection network must be partitionable and dynamically reconfigurable. The theory underlying the partitioning of MSIMD system permutation networks into independent subnetworks is explored. Conditions for determining if a network can be partitioned into independent subnetworks and the ways in which it can be partitioned are presented. The use of the theory is demonstrated by applying it to the Cube, Illiac, PM2I, and Shuffle-Exchange SIMD machine interconnection networks. Both recirculating (single stage) and multistage network implementations are considered.
Index Terms:
SIMD machines, Cube network, Illiac, interconnection networks, multiple-SIMD (MSIMD) machines, parallel processing, partitionable computer systems, permutation networks, PM21 network, Shuffle-Exchange network
Citation:
H.J. Siegel, "The Theory Underlying the Partitioning of Permutation Networks," IEEE Transactions on Computers, vol. 29, no. 9, pp. 791-801, Sept. 1980, doi:10.1109/TC.1980.1675678
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