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Eccentricity Based Topological Indices of an Oxide Network

Author

Listed:
  • Muhammad Imran

    (Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, UAE
    Department of Mathematics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan)

  • Muhammad Kamran Siddiqui

    (Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, UAE
    Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Sahiwal 57000, Pakistan)

  • Amna A. E. Abunamous

    (Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, UAE)

  • Dana Adi

    (Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, UAE)

  • Saida Hafsa Rafique

    (Department of Mathematical Sciences, United Arab Emirates University, Al Ain 15551, UAE)

  • Abdul Qudair Baig

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

Abstract

Graph theory has much great advances in the field of mathematical chemistry. Chemical graph theory has become very popular among researchers because of its wide applications in mathematical chemistry. The molecular topological descriptors are the numerical invariants of a molecular graph and are very useful for predicting their bioactivity. A great variety of such indices are studied and used in theoretical chemistry, pharmaceutical researchers, in drugs and in different other fields. In this article, we study the chemical graph of an oxide network and compute the total eccentricity, average eccentricity, eccentricity based Zagreb indices, atom-bond connectivity ( A B C ) index and geometric arithmetic index of an oxide network. Furthermore, we give analytically closed formulas of these indices which are helpful in studying the underlying topologies.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:7:p:126-:d:158691
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    References listed on IDEAS

    as
    1. Shao, Zehui & Wu, Pu & Gao, Yingying & Gutman, Ivan & Zhang, Xiujun, 2017. "On the maximum ABC index of graphs without pendent vertices," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 298-312.
    2. 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.
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    Cited by:

    1. 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.

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