Abstract

Inspired by recent work of augmented Zagreb index (AZI) we propose here a new topological index, Sanskruti index\(\mathcal {S}(G)\) of a molecular graph G. In QSAR/QSPR study, topological indices are utilized to guess the bioactivity of chemical compounds. The Sanskruti index \(\mathcal {S}(G)\) shows good correlation with entropy of an octane isomers. In this paper we compute the Sanskruti index \(\mathcal {S}(G)\) of line graphs of subdivison graphs of 2D-lattice, nanotube and nanotorus of \(\textit{TUC}_{4}C_{8}[p,q]\).

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