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2004 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN'04)   p. 149
On Fault Tolerance of 3-Dimensional Mesh Networks

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DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ISPAN.2004.1300473
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Abstract
In this paper, we study the fault tolerance of 3-D mesh networks under a more realistic model in which each network node has an independent failure probability. We develop a novel technique to formally derive lower bounds on the connectivity probability for 3-D mesh networks. Our study shows that 3-D mesh networks of practical size can tolerate a large number of faulty nodes thus are reliable enough for multicomputer systems. We also show a number of advantages of 3-D mesh networks over other popular network topologies. For example, compared to 2-D mesh networks, 3-D mesh networks are much stronger in tolerating faulty nodes, while for practical network size, the fault tolerance of 3-D mesh networks is comparable with that of hypercube networks but enjoys much lower node degree in the networks.
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Citation:  GaoCai Wang, Jianer Chen, GuoJun Wang, "On Fault Tolerance of 3-Dimensional Mesh Networks," ispan, p. 149,  2004 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN'04),  2004

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