IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v7y2019i6p557-d241059.html
   My bibliography  Save this article

Characterization of Graphs Associated with Numerical Semigroups

Author

Listed:
  • Muhammad Ahsan Binyamin

    (Department of Mathematics, Government College University Faisalabad, Punjab 38000, Pakistan)

  • Hafiz Muhammad Afzal Siddiqui

    (Department of Mathematics, COMSATS Institute of Information Technology, Lahore 54000, Pakistan)

  • Nida Munawar Khan

    (Department of Mathematics, Government College University Faisalabad, Punjab 38000, Pakistan)

  • Adnan Aslam

    (Department of Natural Sciences and Humanities, University of Engineering and Technology, Lahore 54000, Pakistan)

  • Yongsheng Rao

    (Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China)

Abstract

Let Γ be a numerical semigroup. We associate an undirected graph G ( Γ ) with a numerical semigroup Γ with vertex set { v i : i ∈ N \ Γ } and edge set { v i v j ⇔ i + j ∈ Γ } . In this article, we discuss the connectedness, diameter, girth, and some other related properties of the graph G ( Γ ) .

Suggested Citation

  • Muhammad Ahsan Binyamin & Hafiz Muhammad Afzal Siddiqui & Nida Munawar Khan & Adnan Aslam & Yongsheng Rao, 2019. "Characterization of Graphs Associated with Numerical Semigroups," Mathematics, MDPI, vol. 7(6), pages 1-8, June.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:6:p:557-:d:241059
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/7/6/557/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/7/6/557/
    Download Restriction: no
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Yongsheng Rao & Muhammad Ahsan Binyamin & Adnan Aslam & Maria Mehtab & Shazia Fazal, 2023. "On the Planarity of Graphs Associated with Symmetric and Pseudo Symmetric Numerical Semigroups," Mathematics, MDPI, vol. 11(7), pages 1-11, March.

    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:7:y:2019:i:6:p:557-:d:241059. 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.