GEOMETRIC ARITHMETIC TEMPERATURE INDEX OF CERTAIN NANOSTRUCTURES
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Abstract
In the study of  topological indices such as Zagreb index, geometric arithmetic 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 geometric arithmetic temperature index  of a molecular graph , 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 geometric arithmetic temperature index  of line graphs of subdivision graphs of 2D-lattice, nanotube and nanotorus of  TUC_4C_8[p,q].
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