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Theoretical Computer Science
Volume 333, Issue 3, 3 March 2005, Pages 331-346
Structural Information and Communication Complexity
 
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doi:10.1016/j.tcs.2004.04.016    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2005 Elsevier B.V. All rights reserved.

Optimal oblivious routing on d-dimensional meshes

Andre OsterlohE-mail The Corresponding Author

Fachbereich Informatik, Fern Universität in Hagen, 58084 Hagen, Germany

Received 8 October 2003; 
revised 25 March 2004; 
accepted 15 April 2004. 
Available online 5 January 2005.

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Abstract

In this work we consider deterministic oblivious kk routing algorithms with buffer size O(k). We present an asymptotically optimal View the MathML source step obliviouskk routing algorithm for d-dimensional n×cdots, three dots, centered×n meshes of nd processors for all kgreater-or-equal, slanted1 and d>1. We further show how the algorithm can be used to achieve asymptotically optimal oblivious kk routing algorithms on other networks.

Keywords: Parallel algorithm; Oblivious routing; d-Dimensional mesh; Constant buffer size


Theoretical Computer Science
Volume 333, Issue 3, 3 March 2005, Pages 331-346
Structural Information and Communication Complexity
 
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