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The Tightly Super 3-Extra Connectivity and Diagnosability of Locally Twisted Cubes

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Document pages: 18 pages

Abstract: Diagnosability of a multiprocessor system G is one important measure of thereliability of interconnection networks. In 2016, Zhang et al. proposed the g-extradiagnosability of G,which restrains that every component of G – S has at least (g+ 1) vertices. The locally twisted cube LTQn is applied widely. In this paper, we show that LTQn istightly (4n– 9) super 3-extra connected for n ≥ 6 andthe 3-extra diagnosability of LTQn under the PMC model and MM* model is 4n - 6 for n ≥ 5 and n ≥ 7,respectively.

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