IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i8p1259-d1379845.html
   My bibliography  Save this article

Fixed-Order Chemical Trees with Given Segments and Their Maximum Multiplicative Sum Zagreb Index

Author

Listed:
  • Akbar Ali

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il P.O. Box 2240, Saudi Arabia)

  • Sadia Noureen

    (Department of Mathematics, Faculty of Science, University of Gujrat, Gujrat 50700, Pakistan)

  • Abdul Moeed

    (Department of Mathematics, Faculty of Science, University of Gujrat, Gujrat 50700, Pakistan)

  • Naveed Iqbal

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il P.O. Box 2240, Saudi Arabia)

  • Taher S. Hassan

    (Department of Mathematics, College of Science, University of Ha’il, Ha’il P.O. Box 2240, Saudi Arabia
    Section of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, Italy
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

Abstract

Topological indices are often used to predict the physicochemical properties of molecules. The multiplicative sum Zagreb index is one of the multiplicative versions of the Zagreb indices, which belong to the class of most-examined topological indices. For a graph G with edge set E = { e 1 , e 2 , ⋯ , e m } , its multiplicative sum Zagreb index is defined as the product of the numbers D ( e 1 ) , D ( e 2 ) , ⋯ , D ( e m ) , where D ( e i ) is the sum of the degrees of the end vertices of e i . A chemical tree is a tree of maximum degree at most 4. In this research work, graphs possessing the maximum multiplicative sum Zagreb index are determined from the class of chemical trees with a given order and fixed number of segments. The values of the multiplicative sum Zagreb index of the obtained extremal trees are also obtained.

Suggested Citation

  • Akbar Ali & Sadia Noureen & Abdul Moeed & Naveed Iqbal & Taher S. Hassan, 2024. "Fixed-Order Chemical Trees with Given Segments and Their Maximum Multiplicative Sum Zagreb Index," Mathematics, MDPI, vol. 12(8), pages 1-19, April.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:8:p:1259-:d:1379845
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/8/1259/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/12/8/1259/
    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:12:y:2024:i:8:p:1259-:d:1379845. 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.