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Constructing dual-CISTs of DCell data center networks

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  • Qin, Xiao-Wen
  • Chang, Jou-Ming
  • Hao, Rong-Xia

Abstract

The k-dimensional data center network with n port switches, denoted by Dk,n, has been proposed as a structure of the server-centric network and it was required to have a high reliability on data transmission. A set of t spanning trees in a graph G are called completely independent spanning trees (CISTs for short) if for every pair of nodes x, y ∈ V(G), the paths joining x and y in any two trees have neither node nor edge in common, except for x and y. In particular, if t=2, the two CISTs are called a dual-CIST. Although it has been proved that determining if a graph G admits t CISTs is an NP-complete problem even for t=2, the construction of multiple CISTs on the underlying graph of a network has applications in the fault-tolerance of data transmission. In this paper, we provide a recursive construction for building a dual-CIST on Dk,n for k ≥ 0 and n ≥ 6.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:362:y:2019:i:c:50
    DOI: 10.1016/j.amc.2019.06.060
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    Cited by:

    1. Yang, Jinn-Shyong & Li, Xiao-Yan & Peng, Sheng-Lung & Chang, Jou-Ming, 2022. "Parallel construction of multiple independent spanning trees on highly scalable datacenter networks," Applied Mathematics and Computation, Elsevier, vol. 413(C).
    2. Hao, Rong-Xia & Qin, Xiao-Wen & Zhang, Hui & Chang, Jou-Ming, 2024. "Two-disjoint-cycle-cover pancyclicity of data center networks," Applied Mathematics and Computation, Elsevier, vol. 475(C).
    3. 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.
    4. 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).

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