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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
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    References listed on IDEAS

    as
    1. 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.
    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.
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    Cited by:

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    2. Gayathri Anbarasan & Narasimhan D. & Xiujun Zhang, 2025. "QSPR Analysis of Topological Indices for Nonane and Decane: An Approach to New Open Neighborhood‐Edge‐Degree," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    3. Guangwu Liu & Muhammad Kamran Siddiqui & Shazia Manzoor & Muhammad Naeem & Douhadji Abalo, 2022. "On Curvilinear Regression Analysis via Newly Proposed Entropies for Some Benzene Models," Complexity, John Wiley & Sons, vol. 2022(1).

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