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The 2-good-neighbor (2-extra) diagnosability of alternating group graph networks under the PMC model and MM* model

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  • Wang, Shiying
  • Yang, Yuxing

Abstract

Diagnosability of a multiprocessor system is one important study topic. In 2012, Peng et al. proposed a measure for fault tolerance of the system, which is called the g-good-neighbor diagnosability that restrains every fault-free node containing at least g fault-free neighbors. In 2016, Zhang et al. proposed a new measure for fault diagnosis of the system, namely, the g-extra diagnosability, which restrains that every fault-free component has at least (g+1) fault-free nodes. As a favorable topology structure of interconnection networks, the n-dimensional alternating group graph network ANn has many good properties. In this paper, we obtain that (a) the 2-good-neighbor diagnosability of ANn is 3n−7 for n ≥ 4 under the PMC model and MM* model; (b) the 2-extra diagnosability of ANn is 3n−7 for n ≥ 4 under the PMC model, and the 2-extra diagnosability of ANn is 3n−7 for n ≥ 5 under the MM* model. These results are optimal with respect to 2-extra diagnosability of ANn.

Suggested Citation

  • Wang, Shiying & Yang, Yuxing, 2017. "The 2-good-neighbor (2-extra) diagnosability of alternating group graph networks under the PMC model and MM* model," Applied Mathematics and Computation, Elsevier, vol. 305(C), pages 241-250.
    • Handle: RePEc:eee:apmaco:v:305:y:2017:i:c:p:241-250
    DOI: 10.1016/j.amc.2017.02.006
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    Cited by:

    1. Wang, Shiying & Ma, Xiaolei, 2018. "The g-extra connectivity and diagnosability of crossed cubes," Applied Mathematics and Computation, Elsevier, vol. 336(C), pages 60-66.
    2. Lin, Shangwei & Zhang, Wenli, 2020. "The 1-good-neighbor diagnosability of unidirectional hypercubes under the PMC model," Applied Mathematics and Computation, Elsevier, vol. 375(C).
    3. Wei, Yulong & Xu, Min, 2018. "The 1, 2-good-neighbor conditional diagnosabilities of regular graphs," Applied Mathematics and Computation, Elsevier, vol. 334(C), pages 295-310.

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