Title
A new topology with odd degree for multiprocessor systems
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.
Year
DOI
Venue
1996
10.1006/jpdc.1996.0157
J. Parallel Distrib. Comput.
Keywords
Field
DocType
new topology,multiprocessor system,odd degree,matrix multiplication,maximum degree,point to point
Computer science,Degree (graph theory),Distributed computing,Broadcasting,Topology,Discrete mathematics,Graph,Combinatorics,Matrix calculus,Transpose,Parallel computing,Multiprocessing,Interconnection,Matrix multiplication
Journal
Volume
Issue
ISSN
39
1
Journal of Parallel and Distributed Computing
Citations 
PageRank 
References 
1
0.36
5
Authors
2
Name
Order
Citations
PageRank
Rajib K. Das1358.94
Bhabani P. Sinha246455.72