Sharp Bounds of First Zagreb Coindex for F-Sum Graphs

Muhammad Javaid, Muhammad Ibraheem, Uzma Ahmad, Jia-Bao Liu and M.M. Bhatti

Journal of Mathematics, 2021, vol. 2021, 1-19

Abstract: Let G=VE,EG be a connected graph with vertex set VG and edge set EG. 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 G1 and G2, G1+FG2 are F-sum graphs which are constructed with the help of Cartesian product of FG1 and G2, where F∈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.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2021/9984412.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2021/9984412.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9984412

DOI: 10.1155/2021/9984412

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().