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In the work of Lai in 2005, they proposed a new measure for fault diagnosis of systems, namely, conditional diagnosability. It assumes that no fault set can contain all the neighbors of any vertex in the system. In the same paper, they showed that the conditional diagnosability of hypercube Qn is 4(n - 2) + 1 for n ges 5. In this brief, we generalize this result by considering a family of more popular...
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