Authors
Kemal Efe, Antonio Fernández
Publication date
1995/9
Journal
Parallel and Distributed Systems, IEEE Transactions on
Volume
6
Issue
9
Pages
963-975
Publisher
IEEE
Description
Analyzes some general properties of product networks that are pertinent to parallel architectures and then focuses on three case studies. These are products of complete binary trees, shuffle-exchange and de Bruijn networks. It is shown that all of these are powerful architectures for parallel computation, as evidenced by their ability to efficiently emulate numerous other architectures. In particular, r-dimensional grids and r-dimensional meshes of trees can be embedded efficiently in products of these graphs, i.e. either as a subgraph or with small constant dilation and congestion. In addition, the shuffle-exchange network can be embedded in an r-dimensional product of shuffle-exchange networks with dilation cost 2r and congestion cost 2. Similarly, the de Bruijn network can be embedded in an r-dimensional product of de Bruijn networks with dilation cost r and congestion cost 4. Moreover, it is well known that shuffle …
Total citations
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Scholar articles
K Efe, A Fernández - IEEE Transactions on Parallel and Distributed Systems, 1995