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Component connectivity of the data center network DCell

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  • Liu, Xuemei
  • Meng, Jixiang
  • Sabir, Eminjan

Abstract

In a simple non-complete graph G, an h-component cut is a vertex subset S of V(G) such that G−S has at least h components for any positive integer h. The h-component connectivity of G, denoted by κhc(G), is the minimum cardinality of all h-component cuts of G. The m-dimensional DCell network with n-port switches is represented by Dm,n for integers m≥0 and n≥2. In this paper, we determine the h-component connectivity of Dm,n for 2≤h≤5.

Suggested Citation

  • Liu, Xuemei & Meng, Jixiang & Sabir, Eminjan, 2023. "Component connectivity of the data center network DCell," Applied Mathematics and Computation, Elsevier, vol. 444(C).
    • Handle: RePEc:eee:apmaco:v:444:y:2023:i:c:s0096300322008906
    DOI: 10.1016/j.amc.2022.127822
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    References listed on IDEAS

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    1. Liu, Xuemei & Meng, Jixiang, 2021. "The k-restricted edge-connectivity of the data center network DCell," Applied Mathematics and Computation, Elsevier, vol. 396(C).
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    Cited by:

    1. 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).
    2. 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).

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