The Topological Aspects of Phthalocyanines and Porphyrins Dendrimers

Topological descriptors are the numerical quantities of a graph that characterize various structural properties of it. In environmental sciences, pharmacy and in mathematical chemistry such descriptors are used for the quantitative structure-activity and property relationships (QSAR/QSPR) studies in which physicochemical properties of compounds are correlated with their molecular structures. A large spectrum of topological descriptors is available, among which the distance-based and bond-additive indices are frequently used in QSPR/QSAR studies. In this paper, the different versions of Szeged, Padmakar-Iven (PI) and Mostar indices for the molecular graphs of two types of dendrimers having phthalocyanines and porphyrins as their cores are illustrated through the numerical way. We have obtained exact analytical expressions of these indices by using the cut method.