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The $h$-edge tolerable diagnosability of balanced hypercubes

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arxiv 1904.07020 v1 pith:DQ6OKTHH submitted 2019-04-15 math.CO

classification math.CO
keywords diagnosabilityedgetolerablebalancedcomputhypercubesmodeltheoret
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abstract

To measure the fault diagnosis capability of a multiprocessor system with faulty links, Zhu et al. [Theoret. Comput. Sci. 758 (2019) 1--8] introduced the $h$-edge tolerable diagnosability. This kind of diagnosability is a generalization of the concept of traditional diagnosability. In this paper, as complement to the results in [Theoret. Comput. Sci. 760 (2019) 1--14], we completely determine the $h$-edge tolerable diagnosability of balanced hypercubes $BH_n$ under the PMC model and the MM$^*$ model. Thus, the traditional diagnosability of $BH_n$ is also determined.

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