IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i16p3445-d1213092.html
   My bibliography  Save this article

On the Independence Number of Cayley Digraphs of Clifford Semigroups

Author

Listed:
  • Krittawit Limkul

    (Doctoral Program in Mathematics, Graduate School, Chiang Mai University, Chiang Mai 50200, Thailand)

  • Sayan Panma

    (Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand)

Abstract

Let S be a Clifford semigroup and A a subset of S . We write C a y ( S , A ) for the Cayley digraph of a Clifford semigroup S relative to A . The (weak, path, weak path) independence number of a graph is the maximum cardinality of an (weakly, path, weakly path) independent set of vertices in the graph. In this paper, we characterize maximal connected subdigraphs of C a y ( S , A ) and apply these results to determine the (weak, path, weak path) independence number of C a y ( S , A ) .

Suggested Citation

  • Krittawit Limkul & Sayan Panma, 2023. "On the Independence Number of Cayley Digraphs of Clifford Semigroups," Mathematics, MDPI, vol. 11(16), pages 1-18, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:16:p:3445-:d:1213092
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/16/3445/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/16/3445/
    Download Restriction: no
    ---><---

    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:gam:jmathe:v:11:y:2023:i:16:p:3445-:d:1213092. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.