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Computing Degree Based Topological Properties of Third Type of Hex-Derived Networks

Author

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  • Chang-Cheng Wei

    (Department of Mathematics and Computer Science, Anhui Tongling University, TongLing 244061, China)

  • Haidar Ali

    (Department of Mathematics, Government College University Faisalabad (GCUF), Faisalabad 38023, Pakistan)

  • Muhammad Ahsan Binyamin

    (Department of Mathematics, Government College University Faisalabad (GCUF), Faisalabad 38023, Pakistan)

  • Muhammad Nawaz Naeem

    (Department of Mathematics, Government College University Faisalabad (GCUF), Faisalabad 38023, Pakistan)

  • Jia-Bao Liu

    (School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China)

Abstract

In chemical graph theory, a topological index is a numerical representation of a chemical network, while a topological descriptor correlates certain physicochemical characteristics of underlying chemical compounds besides its chemical representation. The graph plays a vital role in modeling and designing any chemical network. Simonraj et al. derived a new type of graphs, which is named a third type of hex-derived networks. In our work, we discuss the third type of hex-derived networks H D N 3 ( r ) , T H D N 3 ( r ) , R H D N 3 ( r ) , C H D N 3 ( r ) , and compute exact results for topological indices which are based on degrees of end vertices.

Suggested Citation

  • Chang-Cheng Wei & Haidar Ali & Muhammad Ahsan Binyamin & Muhammad Nawaz Naeem & Jia-Bao Liu, 2019. "Computing Degree Based Topological Properties of Third Type of Hex-Derived Networks," Mathematics, MDPI, vol. 7(4), pages 1-22, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:368-:d:225124
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    References listed on IDEAS

    as
    1. Muhammad Imran & Abdul Qudair Baig & Waqas Khalid, 2018. "On Topological Indices of Fractal and Cayley Tree Type Dendrimers," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-11, August.
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    Cited by:

    1. Haidar Ali & Muhammad Ahsan Binyamin & Muhammad Kashif Shafiq & Wei Gao, 2019. "On the Degree-Based Topological Indices of Some Derived Networks," Mathematics, MDPI, vol. 7(7), pages 1-17, July.

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