IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/8272936.html
   My bibliography  Save this article

Connection Number- Based Topological Indices of Cartesian Product of Graphs

Author

Listed:
  • Aiman Arshad
  • Aqsa Sattar
  • Muhammad Javaid
  • Mamo Abebe Ashebo
  • Xiaogang Liu

Abstract

The area of graph theory (GT) is rapidly expanding and playing a significant role in cheminformatics, mostly in mathematics and chemistry to develop different physicochemical, chemical structure, and their properties. The manipulation and study of chemical graphical details are made feasible by using numerical structure invariant. Investigating these chemical characteristics of topological indices (TIs) is made possible by the discipline of mathematical chemistry. In this article, we study with the Cartesian product of complete graphs, with path graphs, and find their general result of connection number (CN)-based TIs, namely, first connection- based Zagreb index (1st CBZI), second connection- based Zagreb index (2nd CBZI), and third CBZI (3rd CBZI) and then modified first connection- based Zagreb index (CBZI) and second and third modified CBZIs. We also express the general results of first multiplicative CBZI, second multiplicative CBZI, and third and fourth multiplicative CBZI, of two special types of graphs, namely, complete graphs and path graphs. More precisely, we arrange the graphical and numerical analysis of our calculated expressions for both of Cartesian product with each other.

Suggested Citation

  • Aiman Arshad & Aqsa Sattar & Muhammad Javaid & Mamo Abebe Ashebo & Xiaogang Liu, 2023. "Connection Number- Based Topological Indices of Cartesian Product of Graphs," Journal of Mathematics, Hindawi, vol. 2023, pages 1-11, May.
    • Handle: RePEc:hin:jjmath:8272936
    DOI: 10.1155/2023/8272936
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jmath/2023/8272936.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jmath/2023/8272936.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2023/8272936?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
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:hin:jjmath:8272936. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.