ON CORRELATION OF PHYSICOCHEMICAL PROPERTIES AND THE HYPER ZAGREB INDEX FOR SOME MOLECULAR STRUCTURES

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 198

Volume : 17 , Issue : 3
DOI:
Author :
Keerthi G. Mirajkar (Department of Mathematics, Karnatak University s Karnatak Arts College, Dharwad - 580001, Karnataka, INDIA)
Bhagyashri R. Doddamani (Department of Mathematics, Faculty of Engineering and Technology, Jain (Deemed-to-be-University) Banglore - 562112, Karnataka, INDIA)
Huchesh H. B. (Department of Mathematics, Karnatak University s Karnatak Science College, Dharwad - 580001, Karnataka, INDIA)

Abstract

In this article, the physico-chemical properties of octane isomers such as entropy, acentric factor, enthalpy of vaporization (HVAP) and Heat of fusion (DHVAP) are tested by using hyper Zagreb index $HM(G)$. Here we show that the hyper Zagreb index has a great correlation with these chemical properties and observe that the index $HM(G)$ highly correlates with acentric factor. Further, we also establish the results on bounds for $HM(G)$ interms of order and size of a graph $G$. Also, we compute the results of $HM(G)$ for Fractal and Cayley tree type dendrimers.

Keywords and Phrases

First Zagreb index, hyper Zagreb index.

A.M.S. subject classification

05C05, 05C07.

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