Wiener polarity index of quasi-tree molecular structures

Tang, Zihao; Liang, Li; Gao, Wei

doi:10.30538/oms2018.0018

Cited by 16 publications

(12 citation statements)

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“…Wiener, in 1947 [20], firstly introduce the concept of topological index while working on boiling point. In particular, Hosoya polynomial [21] plays an important in the area of distance-based topological indices; we can find out Wiener index, hyper-Wiener index, and Tratch-Stankevich-Zefirov index by Hosoya polynomial [22,23]. Other well-established polynomials are Zagreb and hyper-Zagreb polynomials introduced by Gao.…”

Section: Introductionmentioning

confidence: 94%

Reverse Zagreb and Reverse Hyper-Zagreb Indices for Crystallographic Structure of Molecules

Wang¹,

Chaudhry

Naseem

et al. 2020

Journal of Chemistry

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In the fields of chemical graph theory, topological index is a type of a molecular descriptor that is calculated based on the graph of a chemical compound. Topological indices help us collect information about algebraic graphs and give us mathematical approach to understand the properties of algebraic structures. With the help of topological indices, we can guess the properties of chemical compounds without performing experiments in wet lab. ere are more than 148 topological indices in the literature, but none of them completely give all properties of under study compounds. Together, they do it to some extent; hence, there is always room to introduce new indices. In this paper, we present first and second reserve Zagreb indices and first reverse hyper-Zagreb indices, reverse GA index, and reverse atomic bond connectivity index for the crystallographic structure of molecules. We also present first and second reverse Zagreb polynomials and first and second reverse hyper-Zagreb polynomials for the crystallographic structure of molecules.

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Section: Introductionmentioning

confidence: 94%

Reverse Zagreb and Reverse Hyper-Zagreb Indices for Crystallographic Structure of Molecules

Wang¹,

Chaudhry

Naseem

et al. 2020

Journal of Chemistry

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“…In this paper, we give a relation of various graph energies between the regular graph and its splitting graph. It is interesting to compute graph energies for the families of graphs considered in [27][28][29][30][31].…”

Section: Resultsmentioning

confidence: 99%

Some New Results on Various Graph Energies of the Splitting Graph

Chu

Nazeer

Zia

et al. 2019

Journal of Chemistry

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The energy of a simple connected graph G is equal to the sum of the absolute value of eigenvalues of the graph G where the eigenvalue of a graph G is the eigenvalue of its adjacency matrix AG. Ultimately, scores of various graph energies have been originated. It has been shown in this paper that the different graph energies of the regular splitting graph S′G is a multiple of corresponding energy of a given graph G.

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“…The use of graph invariant (topological indices) in QSPR and QSAR studies has become of major interest in recent years. Topological indices have found application in various areas of chemistry, physics, mathematics, informatics, biology, etc [1,7,26], but their most important use to date is in the non-empirical Quantitative Structure-Property Relationships (QSPR) and Quantitative Structure -Activity Relationships (QSAR) [5,14,19,21,23,24,27].…”

Section: Introductionmentioning

confidence: 99%

“…2 Survey of Selected Distance and Degree-Distance Based Topological Indices 1. Wiener Index: The Wiener index is named after Harry Wiener, who introduced it in 1947; at the time, Wiener called it the "path number" [24]. It is the oldest topological index related to molecular branching.…”

Section: Introductionmentioning

confidence: 99%