IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v475y2024ics0096300324001887.html
   My bibliography  Save this article

Two-disjoint-cycle-cover pancyclicity of data center networks

Author

Listed:
  • Hao, Rong-Xia
  • Qin, Xiao-Wen
  • Zhang, Hui
  • Chang, Jou-Ming

Abstract

A graph G is two-disjoint-cycle-cover [r1,r2]-pancyclic if for any integer ℓ satisfying r1≤ℓ≤r2, there exist two vertex-disjoint cycles C1 and C2 in G such that |V(C1)|=ℓ and |V(C2)|=|V(G)|−ℓ. The k-dimensional data center network DCell with n port switches and order tk,n, denoted by Dk,n, plays an important role in big data cloud computing. In this paper, we study the structural properties of Dk,n and show that Dk,n is two-disjoint-cycle-cover [3,⌊tk,n2⌋]-pancyclic for n≥7 and n+k≥11, that is, for any integer ℓ satisfying 3≤ℓ≤⌊tk,n2⌋, there exist two vertex-disjoint cycles C1 and C2 such that |V(C1)|=ℓ and |V(C2)|=tk,n−ℓ in Dk,n. This paper generalizes the results about the Hamiltonicity in (Wang et al., 2015 [25]) and the pancyclicity in (Hao and Tian, 2021 [11]).

Suggested Citation

  • 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).
    • Handle: RePEc:eee:apmaco:v:475:y:2024:i:c:s0096300324001887
    DOI: 10.1016/j.amc.2024.128716
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300324001887
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2024.128716?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Cheng, Dongqin, 2022. "Two disjoint cycles of various lengths in alternating group graph," Applied Mathematics and Computation, Elsevier, vol. 433(C).
    2. 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.
    3. Niu, Ruichao & Xu, Min & Lai, Hong-Jian, 2021. "Two-disjoint-cycle-cover vertex bipancyclicity of the bipartite generalized hypercube," Applied Mathematics and Computation, Elsevier, vol. 400(C).
    4. Liu, Xuemei & Meng, Jixiang, 2021. "The k-restricted edge-connectivity of the data center network DCell," Applied Mathematics and Computation, Elsevier, vol. 396(C).
    5. Liu, Xuemei & Meng, Jixiang & Sabir, Eminjan, 2023. "Component connectivity of the data center network DCell," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    6. Wei, Chao & Hao, Rong-Xia & Chang, Jou-Ming, 2020. "Two-disjoint-cycle-cover bipancyclicity of balanced hypercubes," Applied Mathematics and Computation, Elsevier, vol. 381(C).
    7. Ba, Lina & Zhang, Heping, 2023. "Structure connectivity of data center networks," Applied Mathematics and Computation, Elsevier, vol. 451(C).
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Cheng, Dongqin, 2022. "Two disjoint cycles of various lengths in alternating group graph," Applied Mathematics and Computation, Elsevier, vol. 433(C).
    2. Wang, Yihong & Meng, Jixiang & Fan, Jianxi, 2023. "Reliabilities for two kinds of graphs with smaller diameters," Applied Mathematics and Computation, Elsevier, vol. 446(C).
    3. 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).
    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).
    5. Liu, Xuemei & Meng, Jixiang & Sabir, Eminjan, 2023. "Component connectivity of the data center network DCell," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    6. Chen, Meirun & Habib, Michel & Lin, Cheng-Kuan, 2024. "A novel edge connectivity based on edge partition for hypercube and folded hypercube," Applied Mathematics and Computation, Elsevier, vol. 470(C).
    7. 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.
    8. Zhou, Qianru & Liu, Hai & Cheng, Baolei & Wang, Yan & Han, Yuejuan & Fan, Jianxi, 2024. "Fault tolerance of recursive match networks based on g-good-neighbor fault pattern," Applied Mathematics and Computation, Elsevier, vol. 461(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:apmaco:v:475:y:2024:i:c:s0096300324001887. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.