Some topological indices of dendrimers determined by their Banhatti polynomials

Author:

Chu Zheng-Qing1,Salman Muhammad2,Munir Asia2,Khalid Imran3,Rehman Masood Ur4,Liu Jia-Bao5,Ali Faisal3

Affiliation:

1. General Education Department, Anhui Xinhua University, Hefei, 230088, P.R. China

2. Department of Mathematics, The Islamia University of Bahawalpur, 63100, BahawalpurPakistan

3. Center for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University Multan, 60800, MultanPakistan

4. Department of Mathematics, Abbottabad University of Science and Technology, Abbottabad, 22500, Pakistan

5. School of Mathematics and Physics, Anhui Jianzhu University, Hefei, Anhui, 230601, P.R.China

Abstract

AbstractSeveral properties of chemical compounds in a molecular structure can be determined with the aid of mathematical languages provided by various types of topological indices. In this paper, we consider eight dendrimer structures in the context of valency based topological indices. We define four Banhatti polynomials for general (molecular) graphs, and compute them for underline dendrimers. We use these polynomials to determine four Banhatti indices. We also determine Zagreb (first, second and hyper) and forgotten indices by developing their relationships with Banhatti indices.

Publisher

Walter de Gruyter GmbH

Subject

Organic Chemistry

Reference54 articles.

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5. On the Hosoya index of graphs formed by a fractal graph;Fractals,2019

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