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Conditional diagnosability of balanced hypercubes under the MM∗ model

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Abstract

Fault diagnosis plays an important role in ensuring the reliability of a massive multiprocessor system. Diagnosability of a system is the maximum number of faulty nodes guaranteed to be identified during the diagnosis process, and thus is a critical metric to the reliability of the system. To have a greater number of identified faulty nodes, a new measure called conditional diagnosability for fault diagnosis was introduced, which has a normally used assumption. This paper addresses the conditional diagnosability of balanced hypercubes under the MM∗ model, which is a realistic model to the fault diagnosis of a system. We show that the conditional diagnosability of the n-dimensional balanced hypercube is 4n−4 for n≥2.

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Acknowledgements

This work is supported by the National Science Council of the Republic of China, Taiwan, under Contract No. NSC 101-2221-E-156-007.

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  1. Department of Information Application, Aletheia University, Tainan, 721, Taiwan

    Ming-Chien Yang

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  1. Ming-Chien Yang
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Correspondence to Ming-Chien Yang.

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Yang, MC. Conditional diagnosability of balanced hypercubes under the MM∗ model. J Supercomput 65, 1264–1278 (2013). https://doi.org/10.1007/s11227-013-0882-2

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  • DOI: https://doi.org/10.1007/s11227-013-0882-2

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