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As the size of a multiprocessor system increases, processor failure isinevitable, and fault identification in such a system is crucial for reliablecomputing. The fault diagnosis is the process of identifying faulty processorsin a multiprocessor system through testing. For the practical fault diagnosissystems, the probability that all neighboring processors of a processor arefaulty simultaneously is very small, and the conditional diagnosability, whichis a new metric for evaluating fault tolerance of such systems, assumes thatevery faulty set does not contain all neighbors of any processor in thesystems. This paper shows that the conditional diagnosability of bubble sortgraphs $B_n$ under the PMC model is $4n-11$ for $n \geq 4$, which is about fourtimes its ordinary diagnosability under the PMC model.

Conditional Fault Diagnosis of Bubble Sort Graphs under the PMC Model