M-polynomial and topological indices of some transformed networks

Fei Yu; Hifza Iqbal; Saira Munir; Jia Bao Liu; Fei Yu; Hifza Iqbal; Saira Munir; Jia Bao Liu

doi:10.3934/math.2021804

AIMS Mathematics

2021, Volume 6, Issue 12: 13887-13906. doi: 10.3934/math.2021804

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Research article

M-polynomial and topological indices of some transformed networks

1.
Anhui Vocational college of Electronics and Information Technology, Bengbu 233000, Anhui, China
2.
Department of Mathematics and Statistics, The University of Lahore, Raiwind Road Campus, Lahore 54000, Pakistan
3.
School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China

Received: 07 July 2021 Accepted: 14 September 2021 Published: 27 September 2021
MSC : 05C92

In the chemical industry, topological indices play an important role in defining the properties of chemical compounds. They are numerical parameters and structure invariant. It is a proven fact by scientists that topological properties are influential tools for interconnection networks. In this paper, we will use stellation, medial and bounded dual operations to build transformed networks from zigzag and triangular benzenoid structures. Using M-polynomial, we compute the first and second Zagreb indices, second modified Zagreb indices, symmetric division index, general Randic index, reciprocal general Randic index. We also calculate atomic bond connectivity index, geometric arithmetic index, harmonic index, first and second Gourava indices, first and second hyper Gourava indices.
- M-polynomial,
- topological indices,
- zigzag benzenoid,
- triangular benzenoid
Citation: Fei Yu, Hifza Iqbal, Saira Munir, Jia Bao Liu. M-polynomial and topological indices of some transformed networks[J]. AIMS Mathematics, 2021, 6(12): 13887-13906. doi: 10.3934/math.2021804

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Abstract

In the chemical industry, topological indices play an important role in defining the properties of chemical compounds. They are numerical parameters and structure invariant. It is a proven fact by scientists that topological properties are influential tools for interconnection networks. In this paper, we will use stellation, medial and bounded dual operations to build transformed networks from zigzag and triangular benzenoid structures. Using M-polynomial, we compute the first and second Zagreb indices, second modified Zagreb indices, symmetric division index, general Randic index, reciprocal general Randic index. We also calculate atomic bond connectivity index, geometric arithmetic index, harmonic index, first and second Gourava indices, first and second hyper Gourava indices.

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