Sharp bounds of first Zagreb coindex for \(F\)-sum graphs
type: Item
instance of: scholarly article
title: Sharp bounds of first Zagreb coindex for \(F\)-sum graphs
zbMATH Open document ID: 1477.05062
DOI: 10.1155/2021/9984412
author: M. Javaid
author: Muhammad Ibraheem
author: Uzma Ahmad
author: Jiabao Liu
published in: Journal of Mathematics
publication date: 2021-11-24T00:00:00Z
review text: Summary: Let \(G=(V(E), E (G))\) be a connected graph with vertex set \(V(G)\) and edge set \(E(G)\). For a graph \(G\), the graphs \(S(G)\), \(R(G)\), \(Q(G)\), and \(T(G)\) are obtained by applying the four subdivisions related operations \(S\), \(R\), \(Q\), and \(T\), respectively. Further, for two connected graphs \(G_1\) and \(G_2\), \(G_{1 + F}G_2\) are \(F\)-sum graphs which are constructed with the help of Cartesian product of \(F(G_1)\) and \(G_2\), where \(F\in\{S, R, Q, T\}\). In this paper, we compute the lower and upper bounds for the first Zagreb coindex of these \(F\)-sum (\(S\)-sum, \(R\)-sum, \(Q\)-sum, and \(T\)-sum) graphs in the form of the first Zagreb indices and coincides of their basic graphs. At the end, we use linear regression modeling to find the best correlation among the obtained results for the thirteen physicochemical properties of the molecular structures such as boiling point, density, heat capacity at constant pressure, entropy, heat capacity at constant time, enthalpy of vaporization, acentric factor, standard enthalpy of vaporization, enthalpy of formation, octanol-water partition coefficient, standard enthalpy of formation, total surface area, and molar volume.
Mathematics Subject Classification ID: 05C12
Mathematics Subject Classification ID: 05C90
Mathematics Subject Classification ID: 05C07
Mathematics Subject Classification ID: 92E10
zbMATH DE Number: 7433110
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2021/9984412
OpenAlex ID: W3205399769
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description: scientific article; zbMATH DE number 7433110