Abstract
In the study of QSPR/QSAR, topological indices such as Zagreb index, Randic index, atom-bond connectivity index are exploited to estimate the bioactivity of chemical compounds. Inspired by many degree based topological indices, we propose here a new topological index, called the Atom Bond Connectivity temperature index ABCT(G) of a molecular graph G, which shows good correlation with entropy, acentric factor, enthalpy of vaporization and standard enthalpy of vaporization of an octane isomers. In this paper we compute the Atom Bond Connectivity temperature index ABCT(G) of line graphs of subdivision graphs of 2D-lattice, nanotube and nanotorus of TUC_4 C_8 [p,q].
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