Copyright © 2005 Elsevier B.V. All rights reserved.
Optimal oblivious routing on d-dimensional meshes
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 k–k routing algorithms with buffer size O(k). We present an asymptotically optimal step obliviousk–k routing algorithm for d-dimensional n×
×n meshes of nd processors for all k
1 and d>1. We further show how the algorithm can be used to achieve asymptotically optimal oblivious k–k routing algorithms on other networks.
Keywords: Parallel algorithm; Oblivious routing; d-Dimensional mesh; Constant buffer size






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