Topological Aspects of Dendrimers via Distance Based Descriptors

Distance-based metrics has been practiced to various wide-ranging physicochemical applications, especially in the characterization and modeling of chemical structures. Computational techniques to acquire the precise analytic expressions for a number of distance-based topological indices of inorganic chemical networks and nano-materials are newly growing areas of reticular chemistry. Among these numerical invariants, the eccentricity-based indices are significant for their careful prediction of pharmaceutical properties. In this paper, we work out for the closed formulas of the various eccentricity-based indices, namely the eccentric-connectivity index, the total eccentric-connectivity index, the Zagreb eccentricity indices, the augmented eccentric-connectivity index, the modified eccentric-connectivity index, and the edge version of the eccentric-connectivity index for triazine- and porphyrin-based dendrimers. Furthermore, the expressions for the eccentric-connectivity, total eccentric-connectivity, and modified eccentric-connectivity polynomials are presented for these classes of dendrimers.