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Issue No. 03 - March (2001 vol. 12)
ISSN: 1045-9219
pp: 272-282
<p><b>Abstract</b>—Torus/mesh-based machines have received increasing attention. It is natural to identify the maximum healthy submeshes in a faulty torus/mesh so as to lower potential performance degradation, because the time for executing a parallel algorithm tends to depend on the size of the assigned submesh. This paper proposes an efficient approach for identifying all the maximum healthy submeshes present in a faulty torus/mesh. The proposed approach is based on manipulating set expressions, with the search space reduced considerably by taking advantage of the interesting properties of a faulty torus/mesh. This procedure is a distributed one, because every healthy node performs the same procedure independently and concurrently. We show that the proposed scheme may outperform previous methods.</p>
Distributed algorithms, faulty meshes, faulty tori, prime submeshes, reconfiguration, set expressions.

H. Chen and S. Hu, "Submesh Determination in Faulty Tori and Meshes," in IEEE Transactions on Parallel & Distributed Systems, vol. 12, no. , pp. 272-282, 2001.
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