IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v6y2018i9p153-d166972.html

Computing Eccentricity Based Topological Indices of Octagonal Grid O n m

Author

Listed:
  • Xiujun Zhang

    (School of Information Science and Engineering, Chengdu University, Chengdu 610106, China)

  • Muhammad Kamran Siddiqui

    (Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Sahiwal 57000, Pakistan)

  • Muhammad Naeem

    (Department of Mathematics, The University of Lahore, Pakpattan Campus, Pakpattan 57400, Pakistan)

  • Abdul Qudair Baig

    (Department of Mathematics, The University of Lahore, Pakpattan Campus, Pakpattan 57400, Pakistan)

Abstract

Graph theory is successfully applied in developing a relationship between chemical structure and biological activity. The relationship of two graph invariants, the eccentric connectivity index and the eccentric Zagreb index are investigated with regard to anti-inflammatory activity, for a dataset consisting of 76 pyrazole carboxylic acid hydrazide analogs. The eccentricity ε v of vertex v in a graph G is the distance between v and the vertex furthermost from v in a graph G . The distance between two vertices is the length of a shortest path between those vertices in a graph G . In this paper, we consider the Octagonal Grid O n m . We compute Connective Eccentric index C ξ ( G ) = ∑ v ∈ V ( G ) d v / ε v , Eccentric Connective Index ξ ( G ) = ∑ v ∈ V ( G ) d v ε v and eccentric Zagreb index of Octagonal Grid O n m , where d v represents the degree of the vertex v in G .

Suggested Citation

  • Xiujun Zhang & Muhammad Kamran Siddiqui & Muhammad Naeem & Abdul Qudair Baig, 2018. "Computing Eccentricity Based Topological Indices of Octagonal Grid O n m," Mathematics, MDPI, vol. 6(9), pages 1-14, August.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:9:p:153-:d:166972
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/6/9/153/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/6/9/153/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Siddiqui, Muhammad Kamran & Imran, Muhammad & Ahmad, Ali, 2016. "On Zagreb indices, Zagreb polynomials of some nanostar dendrimers," Applied Mathematics and Computation, Elsevier, vol. 280(C), pages 132-139.
    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. Ali Ahmad & Kashif Elahi & Muhammad Azeem & Senesie Swaray & Muhammad Ahsan Asim, 2022. "Topological Descriptors for the Metal Organic Network and Its Structural Properties," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    2. 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.
    3. Shahid Imran & Muhammad Kamran Siddiqui & Muhammad Imran & Muhammad Faisal Nadeem, 2018. "Computing Topological Indices and Polynomials for Line Graphs," Mathematics, MDPI, vol. 6(8), pages 1-10, August.
    4. Shazia Manzoor & Muhammad Kamran Siddiqui & Sarfraz Ahmad & Samuel Asefa Fufa, 2022. "On Computation of Entropy Measures and Molecular Descriptors for Isomeric Natural Polymers," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    5. Shahid Imran & Muhammad Mudassar Raza & Niat Nigar & Syed Ajaz K. Kirmani & Fikre Bogale Petros, 2022. "Computing Topological Indices and Polynomials of the Rhenium Trioxide," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    6. Prosanta Sarkar & Nilanjan De & Anita Pal, 2022. "On some multiplicative version topological indices of block shift and hierarchical hypercube networks," OPSEARCH, Springer;Operational Research Society of India, vol. 59(2), pages 561-572, June.
    7. Rongbing Huang & M.H. Muhammad & M.K. Siddiqui & S. Khalid & S. Manzoor & E. Bashier, 2022. "Analysis of Topological Aspects for Metal‐Insulator Transition Superlattice Network," Complexity, John Wiley & Sons, vol. 2022(1).
    8. Wei Gao & Muhammad Younas & Adeel Farooq & Abaid Ur Rehman Virk & Waqas Nazeer, 2018. "Some Reverse Degree-Based Topological Indices and Polynomials of Dendrimers," Mathematics, MDPI, vol. 6(10), pages 1-20, October.
    9. Muhammad Javaid & Saira Javed & Ebenezer Bonyah, 2022. "Comparative Study of Generalized Sum Graphs via Degree‐Based Topological Indices," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    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:gam:jmathe:v:6:y:2018:i:9:p:153-:d:166972. 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 The email address of this maintainer does not seem to be valid anymore. Please ask MDPI Indexing Manager to update the entry or send us the correct address (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.