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

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.