Computation of Zagreb and atom–bond connectivity indices of certain families of dendrimers by using automorphism group action

Uzma Ahmad, Sarfraz Ahmad, Rabia Yousaf

Abstract


In QSAR/QSPR studies, topological indices are utilized to predict the bioactivity of chemical compounds. In this paper, the closed forms of different Zagreb indices and atom–bond connectivity indices of regular dendrimers G[n] and H[n] in terms of a given parameter n are determined by using the auto­morphism group action. It was reported that these connectivity indices are correlated with some physicochemical properties and are used to measure the level of branching of the molecular carbon-atom skeleton.

Keywords


graph automorphism; orbits; dendrimer graphs; topological indices; QSAR/QSPR; wreath product.

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DOI: https://doi.org/10.2298/JSC160718096A

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