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Fast reconfiguration algorithms for time, space, and wavelength dilated optical Benes networks

Authors: Enyue Lu a; S. Q. Zheng b
Affiliations:   a Department of Mathematics and Computer Science, Salisbury University, Salisbury, MD, USA
b Department of Computer Science, University of Texas at Dallas, Richardson, TX, USA
DOI: 10.1080/17445760601029453
Publication Frequency: 6 issues per year
Published in: journal International Journal of Parallel, Emergent and Distributed Systems, Volume 22, Issue 1 January 2007 , pages 39 - 58
Formats available: HTML (English) : PDF (English)
Previously published as: Parallel Algorithms and Applications (1063-7192) until 2005
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Abstract

Benes networks are rearrangeable nonblocking networks and are among the most efficient switching architectures in terms of the number of ./GPAA_A_202847_O_XML_IMAGES/GPAA_A_202847_O_ILM0001.gif  switching elements (SEs) used. In optical Benes networks, if two I/O connecting paths with the same (close) wavelength(s) share a common SE, crosstalk occurs. In order to reduce the crosstalk effect, three approaches, time, space and wavelength dilations have been proposed. In this paper, we present polylogarithmic-time reconfiguration algorithms for realizing any (partial) permutation in time, space and wavelength dilated optical Benes networks using a linear number of processors. Our algorithms are based on a logarithmic-time permutation decomposition algorithm and apply graph coloring techniques such as edge coloring, equitable coloring and vertex coloring.
Keywords: 68W10 Parallel algorithms; 94C10 Switching theory; 05C85 Graph algorithms; 05C15 Coloring of graphs and hypergraphs
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