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A Novel Conditional Connectivity and Hamiltonian Connectivity of BCube with Various Faulty Elements

Author

Listed:
  • Yali Lv

    (School of Information Technology, Henan University of Chinese Medicine, Zhengzhou 450046, China
    Provincial Key Laboratory for Computer Information Processing Technology, Soochow University, Suzhou 215006, China)

  • Cheng-Kuan Lin

    (Department of Computer Science, National Yang Ming Chiao Tung University, Hsinchu 30010, Taiwan)

  • Lantao You

    (Provincial Key Laboratory for Computer Information Processing Technology, Soochow University, Suzhou 215006, China
    School of Information Engineering, Suzhou Industrial Park Institute of Services Outsourcing, Suzhou 215123, China)

Abstract

BCube is one of the main data center networks because it has many attractive features. In practical applications, the failure of components or physical connections is inevitable. In data center networks in particular, switch failures are unavoidable. Fault-tolerance capability is one main aspect to measure the performance of data center networks. Connectivity, fault tolerance Hamiltonian connectivity, and fault tolerance Hamiltonicity are important parameters that assess the fault tolerance of networks. In general, the distribution of fault elements is scattered, and it is necessary to consider the distribution of fault elements in different dimensions. We research the fault tolerance of BCube when considering faulty switches and faulty links/edges that distribute in different dimensions. We also investigate the connectivity, fault tolerance Hamiltonian connectivity, and Hamiltonicity. This study better evaluates the fault-tolerant performance of data center networks.

Suggested Citation

  • Yali Lv & Cheng-Kuan Lin & Lantao You, 2023. "A Novel Conditional Connectivity and Hamiltonian Connectivity of BCube with Various Faulty Elements," Mathematics, MDPI, vol. 11(15), pages 1-12, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3404-:d:1210497
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    References listed on IDEAS

    as
    1. Arfat Ahmad Khan & Peerapong Uthansakul & Pumin Duangmanee & Monthippa Uthansakul, 2018. "Energy Efficient Design of Massive MIMO by Considering the Effects of Nonlinear Amplifiers," Energies, MDPI, vol. 11(5), pages 1-22, April.
    2. Xue, Lina & Yang, Weihua & Zhang, Shurong, 2018. "Number of proper paths in edge-colored hypercubes," Applied Mathematics and Computation, Elsevier, vol. 332(C), pages 420-424.
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