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The Diagnosability of the Matching Composition Network under the Comparison Diagnosis Model
August 2004 (vol. 53 no. 8)
pp. 1064-1069

Abstract—The classical problem of diagnosability is discussed widely and the diagnosability of many well-known networks have been explored. In this paper, we consider the diagnosability of a family of networks, called the Matching Composition Network (MCN); two components are connected by a perfect matching. The diagnosability of MCN under the comparison model is shown to be one larger than that of the component, provided some connectivity constraints are satisfied. Applying our result, the diagnosability of the Hypercube Q_n, the Crossed cube CQ_n, the Twisted cube TQ_n, and the Möbius cube MQ_n can all be proven to be n, for n \geq 4. In particular, we show that the diagnosability of the four-dimensional Hypercube Q_4 is 4, which is not previously known.

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Index Terms:
Diagnosability, t-diagnosable, comparison model, Matching Composition Network, MM* model.
Citation:
Pao-Lien Lai, Jimmy J.M. Tan, Chang-Hsiung Tsai, Lih-Hsing Hsu, "The Diagnosability of the Matching Composition Network under the Comparison Diagnosis Model," IEEE Transactions on Computers, vol. 53, no. 8, pp. 1064-1069, Aug. 2004, doi:10.1109/TC.2004.50
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