A New Topology with Odd Degree for Multiprocessor Systems

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Abstract:

A new topology for interconnection networks has been proposed. The underlying network graph has N = 4 n nodes ( n > 2) and is almost regular with maximum degree 5 and diameter < 3/4 log 2 N + 1. Algorithms for point-to-point routing and single node broadcast have also been developed. It has also been shown that various algorithms for real life applications, e.g., matrix transpose, matrix multiplication, finding the sum/average/maximum/minimum of a set of data elements and ASCEND/DESCEND types of algorithms can be efficiently implemented on this topology. Finally, the underlying idea of constructing this network has been generalized to define a family of almost regular odd degree graphs of maximum degree 2 j + 1, ( j > 2) with N = (2 j ) n nodes and diameter 3/4 log j N + 1.

Document Type: Research Article

Affiliations: Electronics Unit, Indian Statistical Institute, 203 B.T. Road, Calcutta, 700 035, India

Publication date: November 1, 1996

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