Study of multistage SIMD interconnection networks
ISCA '78 Proceedings of the 5th annual symposium on Computer architecture
3-disjoint gamma interconnection networks
Journal of Systems and Software
Designing A Disjoint Paths Interconnection Network with Fault Tolerance and Collision Solving
The Journal of Supercomputing
ISPA'05 Proceedings of the Third international conference on Parallel and Distributed Processing and Applications
ISPA'04 Proceedings of the Second international conference on Parallel and Distributed Processing and Applications
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The augmented data manipulator (ADM), inverse augmented data manipulator (IADM), and the gamma network are based on the plus-minus-2/sup i/ connection patterns. In such a network, there exists multiple paths to connect a source S to a destination D except when S=D. The number of paths for (S,D) is a function of the tag value (D-S) modulo N, and the size of the network N. It is shown that by adding an extra stage to the PM2I interconnection network, multiple paths are provided for all the tag values including 0. The extra stage can be any stage out of n=log/sub 2/N stages of the original network. The analyses on the distribution of the number of paths for various tag values are performed for n possible choices of the extra stage. It is shown that the extra stage of 0, +1, -1 connection patterns gives the most uniform distribution, and also results in a 1-fault tolerant interconnection network.