A general approach to deriving diagnosability results of interconnection networks

04/06/2022

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by   Eddie Cheng, et al.

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We generalize an approach to deriving diagnosability results of various interconnection networks in terms of the popular g-good-neighbor and g-extra fault-tolerant models, as well as mainstream diagnostic models such as the PMC and the MM* models. As demonstrative examples, we show how to follow this constructive, and effective, process to derive the g-extra diagnosabilities of the hypercube, the (n, k)-star, and the arrangement graph. These results agree with those achieved individually, without duplicating structure independent technical details. Some of them come with a larger applicable range than those already known, and the result for the arrangement graph in terms of the MM* model is new.