Abstract

The significant increase in the number of processors of multiprocessor system increases its vulnerability to component failures. Diagnosability is an important indicator for the reliability of interconnection networks. The g-good-neighbour conditional diagnosability is the maximum number of faulty vertices a network can guarantee to identify, under the condition that every fault-free vertex has at least g fault-free neighbours (i.e. good neighbours). In this paper, we establish that the 1-good-neighbour conditional diagnosability of -enhanced hypercube network under PMC model is 2n−1 for n = k + 1 and , or 2n + 1 for n>k + 1 and , respectively. Moreover, the 2-good-neighbour conditional diagnosability of is 3n−3 for n = k + 1 and , or 4n−5 for n = k + 2 and , or 4n−1 for n>k + 2 and , respectively.

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