IDEAS home Printed from https://ideas.repec.org/a/gam/jjopen/v2y2019i3p26-409d260605.html
   My bibliography  Save this article

On Some New Neighborhood Degree-Based Indices for Some Oxide and Silicate Networks

Author

Listed:
  • Sourav Mondal

    (Department of Mathematics, National Institute of Technology Durgapur, Durgapur-713209, India)

  • Nilanjan De

    (Department of Basic Sciences and Humanities (Mathematics), Calcutta Institute of Engineering and Management, Kolkata-700040, India)

  • Anita Pal

    (Department of Mathematics, National Institute of Technology Durgapur, Durgapur-713209, India)

Abstract

Topological indices are numeric quantities that describes the topology of molecular structure in mathematical chemistry. An important area of applied mathematics is the chemical reaction network theory. Real-world problems can be modeled using this theory. Due to its worldwide applications, chemical networks have attracted researchers since their foundation. In this report, some silicate and oxide networks are studied, and exact expressions of some newly-developed neighborhood degree-based topological indices named as the neighborhood Zagreb index ( M N ), the neighborhood version of the forgotten topological index ( F N ), the modified neighborhood version of the forgotten topological index ( F N ∗ ), the neighborhood version of the second Zagreb index ( M 2 ∗ ), and neighborhood version of the hyper Zagreb index ( H M N ) are obtained for the aforementioned networks. In addition, a comparison among all the indices is shown graphically.

Suggested Citation

  • Sourav Mondal & Nilanjan De & Anita Pal, 2019. "On Some New Neighborhood Degree-Based Indices for Some Oxide and Silicate Networks," J, MDPI, vol. 2(3), pages 1-26, August.
    • Handle: RePEc:gam:jjopen:v:2:y:2019:i:3:p:26-409:d:260605
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2571-8800/2/3/26/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2571-8800/2/3/26/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Muhammad Imran & Muhammad Kamran Siddiqui & Amna A. E. Abunamous & Dana Adi & Saida Hafsa Rafique & Abdul Qudair Baig, 2018. "Eccentricity Based Topological Indices of an Oxide Network," Mathematics, MDPI, vol. 6(7), pages 1-13, July.
    2. V. S. Shigehalli & Rachanna Kanabur, 2016. "Computation of New Degree-Based Topological Indices of Graphene," Journal of Mathematics, Hindawi, vol. 2016, pages 1-6, September.
    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.
    1. Vujošević, Saša & Popivoda, Goran & Kovijanić Vukićević, Žana & Furtula, Boris & Škrekovski, Riste, 2021. "Arithmetic–geometric index and its relations with geometric–arithmetic index," Applied Mathematics and Computation, Elsevier, vol. 391(C).

    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:jjopen:v:2:y:2019:i:3:p:26-409:d:260605. 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: 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.