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Fault tolerance of locally twisted cubes

Author

Listed:
  • Guo, Litao
  • Su, Guifu
  • Lin, Wenshui
  • Chen, Jinsong

Abstract

Let G=(V,E) be a connected graph and P be graph-theoretic property. A network is often modeled by a graph G=(V,E). One fundamental consideration in the design of networks is reliability. The connectivity is an important parameter to measure the fault tolerance and reliability of network. The conditional connectivity λ(G, P) or κ(G, P) is the minimum cardinality of a set of edges or vertices, if it exists, whose deletion disconnects G and each remaining component has property P. Let F be a vertex set or edge set of G and P be the property of with at least k components. Then we have the k-component connectivity cκk(G) and the k-component edge connectivity cλk(G). In this paper, we determine the k-component (edge) connectivity of locally twisted cubes LTQn for small k, and we also prove other properties of LTQn.

Suggested Citation

  • Guo, Litao & Su, Guifu & Lin, Wenshui & Chen, Jinsong, 2018. "Fault tolerance of locally twisted cubes," Applied Mathematics and Computation, Elsevier, vol. 334(C), pages 401-406.
    • Handle: RePEc:eee:apmaco:v:334:y:2018:i:c:p:401-406
    DOI: 10.1016/j.amc.2018.03.107
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    Cited by:

    1. Liu, Qinghai & Hong, Yanmei, 2019. "The reliability of lexicographic product digraphs," Applied Mathematics and Computation, Elsevier, vol. 358(C), pages 449-454.

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