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The g-good neighbor conditional diagnosability of twisted hypercubes under the PMC and MM* model

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  • Liu, Huiqing
  • Hu, Xiaolan
  • Gao, Shan

Abstract

Connectivity and diagnosability are important parameters in measuring the fault tolerance and reliability of interconnection networks. The g-good-neighbor conditional faulty set is a special faulty set that every fault-free vertex should have at least g fault-free neighbors. The Rg-vertex-connectivity of a connected graph G is the minimum cardinality of a g-good-neighbor conditional faulty set X⊆V(G) such that G−X is disconnected. The g-good-neighbor conditional diagnosability is a metric that can give the maximum cardinality of g-good-neighbor conditional faulty set that the system is guaranteed to identify. The twisted hypercube is a new variant of hypercubes with asymptotically optimal diameter introduced by X.D. Zhu. In this paper, we first determine the Rg-vertex-connectivity of twisted hypercubes, then establish the g-good neighbor conditional diagnosability of twisted hypercubes under the PMC model and MM* model, respectively.

Suggested Citation

  • Liu, Huiqing & Hu, Xiaolan & Gao, Shan, 2018. "The g-good neighbor conditional diagnosability of twisted hypercubes under the PMC and MM* model," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 484-492.
    • Handle: RePEc:eee:apmaco:v:332:y:2018:i:c:p:484-492
    DOI: 10.1016/j.amc.2018.03.042
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