IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v487y2025ics0096300324005599.html
   My bibliography  Save this article

Disjoint path covers of star graphs

Author

Listed:
  • Qiao, Hongwei
  • Meng, Jixiang

Abstract

Given a graph G, let S and T be two vertex-disjoint subsets of equal size k of G. A k-disjoint path cover of G corresponding to S and T is the union of k vertex-disjoint paths among S and T that spans G. If every vertex of S should be joined to a prescribed vertex in T, it is defined to be paired, otherwise it is unpaired. Let STn be a star graph with bipartition V0 and V1. Let S⊆V0 and T⊆V1 be two vertex subsets of equal size k. It is shown in this paper that STn admits an unpaired k-disjoint path cover between S and T, where k≤n−2 and n≥4. In view of the degree of STn, this result is optimal.

Suggested Citation

  • Qiao, Hongwei & Meng, Jixiang, 2025. "Disjoint path covers of star graphs," Applied Mathematics and Computation, Elsevier, vol. 487(C).
  • Handle: RePEc:eee:apmaco:v:487:y:2025:i:c:s0096300324005599
    DOI: 10.1016/j.amc.2024.129098
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300324005599
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.amc.2024.129098?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. Yang, Yayu & Zhang, Mingzu & Meng, Jixiang, 2024. "Link fault tolerance of BC networks and folded hypercubes on h-extra r-component edge-connectivity," Applied Mathematics and Computation, Elsevier, vol. 462(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.

      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:487:y:2025:i:c:s0096300324005599. 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.