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Edge-fault-tolerant hamiltonicity of locally twisted cubes under conditional edge faults

Author

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  • Sun-Yuan Hsieh

    (National Cheng Kung University)

  • Chang-Yu Wu

    (National Cheng Kung University)

Abstract

The locally twisted cube is a variation of hypercube, which possesses some properties superior to the hypercube. In this paper, we investigate the edge-fault-tolerant hamiltonicity of an n-dimensional locally twisted cube, denoted by LTQ n . We show that for any LTQ n (n≥3) with at most 2n−5 faulty edges in which each node is incident to at least two fault-free edges, there exists a fault-free Hamiltonian cycle. We also demonstrate that our result is optimal with respect to the number of faulty edges tolerated.

Suggested Citation

  • Sun-Yuan Hsieh & Chang-Yu Wu, 2010. "Edge-fault-tolerant hamiltonicity of locally twisted cubes under conditional edge faults," Journal of Combinatorial Optimization, Springer, vol. 19(1), pages 16-30, January.
    • Handle: RePEc:spr:jcomop:v:19:y:2010:i:1:d:10.1007_s10878-008-9157-x
    DOI: 10.1007/s10878-008-9157-x
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    Cited by:

    1. Kung, Tzu-Liang, 2024. "Reliability evaluation for bijection-connected networks based on the super Pk-connectivity," Applied Mathematics and Computation, Elsevier, vol. 464(C).
    2. Yu-Huei Chang & Jinn-Shyong Yang & Sun-Yuan Hsieh & Jou-Ming Chang & Yue-Li Wang, 2017. "Construction independent spanning trees on locally twisted cubes in parallel," Journal of Combinatorial Optimization, Springer, vol. 33(3), pages 956-967, April.

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