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Reliability analysis based on the dual-CIST in shuffle-cubes

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  • Qin, Xiao-Wen
  • Hao, Rong-Xia

Abstract

Let T1,T2,…,Tk be k spanning trees of the graph G. They are called completely independent spanning trees (CISTs for short) if the paths joining every pair of vertices x and y in any two trees have neither vertex nor edge in common, except for x and y. In particular, two CISTs are called a dual-CIST. The construction of a dual-CIST in a network has applications in the fault-tolerance of data transmission and the establishment of a protection routing. It has been proved that determining if a graph G admits a dual-CIST is NP-complete. In this paper, we show the existence of a dual-CIST in the n-dimensional shuffle-cube SQn with n=4k+2 and k≥1. Furthermore, recursive construction algorithms for the dual-CIST in SQn are given.

Suggested Citation

  • Qin, Xiao-Wen & Hao, Rong-Xia, 2021. "Reliability analysis based on the dual-CIST in shuffle-cubes," Applied Mathematics and Computation, Elsevier, vol. 397(C).
    • Handle: RePEc:eee:apmaco:v:397:y:2021:i:c:s0096300320308535
    DOI: 10.1016/j.amc.2020.125900
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    References listed on IDEAS

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    1. Qin, Xiao-Wen & Chang, Jou-Ming & Hao, Rong-Xia, 2019. "Constructing dual-CISTs of DCell data center networks," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
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    Cited by:

    1. Yu-Han Chen & Kung-Jui Pai & Hsin-Jung Lin & Jou-Ming Chang, 2022. "Constructing tri-CISTs in shuffle-cubes," Journal of Combinatorial Optimization, Springer, vol. 44(5), pages 3194-3211, December.

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    2. Yu-Han Chen & Kung-Jui Pai & Hsin-Jung Lin & Jou-Ming Chang, 2022. "Constructing tri-CISTs in shuffle-cubes," Journal of Combinatorial Optimization, Springer, vol. 44(5), pages 3194-3211, December.

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