IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v389y2021ics0096300320305208.html
   My bibliography  Save this article

The bipanconnectivity of bipartite hypercube-like networks

Author

Listed:
  • Niu, Ruichao
  • Xu, Min

Abstract

Bipanconnectivity is an important parameter in bipartite networks related on the embedding problem of linear arrays and rings. In this paper, we study the fault-tolerant bipanconnectivity of bipartite n-dimensional hypercube-like networks, denoted as Bn′. We show that for any n-dimensional bipartite hypercube-like network G∈Bn′ with f faulty elements (edges and/or vertices), including fv faulty vertices such that f≤n−2, for each pair of fault-free vertices of distance d in G, there exists a fault-free path of length l linking them, where 2n−4≤l≤2n−2fv−1 and l−d≡0 (mod 2). Our result is optimal when considering the number of faulty elements.

Suggested Citation

  • Niu, Ruichao & Xu, Min, 2021. "The bipanconnectivity of bipartite hypercube-like networks," Applied Mathematics and Computation, Elsevier, vol. 389(C).
  • Handle: RePEc:eee:apmaco:v:389:y:2021:i:c:s0096300320305208
    DOI: 10.1016/j.amc.2020.125564
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300320305208
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2020.125564?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. Zhao, Shu-Li & Hao, Rong-Xia, 2019. "The generalized 4-connectivity of exchanged hypercubes," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 342-353.
    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. Li, Xiang-Jun & Zeng, Xue-Qian & Xu, Jun-Ming, 2019. "Generalized measures of fault tolerance for bubble sort networks," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.

    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:389:y:2021:i:c:s0096300320305208. 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.