Communications and Network

Volume 3, Issue 4 (November 2011)

ISSN Print: 1949-2421   ISSN Online: 1947-3826

Google-based Impact Factor: 1.11  Citations  

Conditional Diagnosability of the Locally Twisted Cubes under the PMC Model

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DOI: 10.4236/cn.2011.34025    3,722 Downloads   6,792 Views  Citations

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ABSTRACT

In a multiprocessor systems, it is important to local and to replace the faulty processors to maintain systempsilas high reliability. The fault diagnosis, which is the process of identifying fault processors in a multiprocessor system through testing. The conditional diagnosis requires that for each processor u in a system, all the processors that are directly connected to u do not fail at the same time. In this paper, we study the conditional diagnosability of the n-dimensional locally twisted cubes. After showing some properties of the locally twisted cubes, we prove that it under the PMC model is 4n – 7 for n ≥ 5.

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R. Feng, G. Bian and X. Wang, "Conditional Diagnosability of the Locally Twisted Cubes under the PMC Model," Communications and Network, Vol. 3 No. 4, 2011, pp. 220-224. doi: 10.4236/cn.2011.34025.

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