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:
International Journal of Parallel, Emergent and Distributed Systems,
Volume
22,
Issue
1
January
2007
, pages 39
- 58
Subjects:
Algorithms & Complexity;
Computer Engineering;
Computer Science (General);
Distributed Network Systems;
Distributed Systems;
Internet & Multimedia;
Neural Networks;
Parallel Algorithms;
Parallel Systems;
Programming & Programming Languages;
Quantum Information;
Systems & Computer Architecture;
Formats available:
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(English)
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(English)
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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
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 |
| view references (32) |

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