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On Topological Indices of Fractal and Cayley Tree Type Dendrimers

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  • Muhammad Imran
  • Abdul Qudair Baig
  • Waqas Khalid

Abstract

The topological descriptors are the numerical invariants associated with a chemical graph and are helpful in predicting their bioactivity and physiochemical properties. These descriptors are studied and used in mathematical chemistry, medicines, and drugs designs and in other areas of applied sciences. In this paper, we study the two chemical trees, namely, the fractal tree and Cayley tree. We also compute their topological indices based on degree concept. These indices include atom bond connectivity index, geometric arithmetic index and their fourth and fifth versions, Sanskruti index, augmented Zagreb index, first and second Zagreb indices, and general Randic index for . Furthermore, we give closed analytical results of these indices for fractal trees and Cayley trees.

Suggested Citation

  • 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.
    • Handle: RePEc:hin:jnddns:2684984
    DOI: 10.1155/2018/2684984
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    Cited by:

    1. 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.
    2. Ma, Fei & Wang, Ping, 2024. "Understanding influence of fractal generative manner on structural properties of tree networks," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).

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