Abstract

In $QSPR$ study, a prediction about the bioactivity of chemical compounds is made on the basis of physico-chemical properties and topological indices such as Zagreb index, Harmonic index and $VL$ index etc. Inspired by many degree based topological indices, we propose here a new topological index, called the $VL$ temperature index $VLTI(G)$ of a molecular graph $G$. Our study showcases some important results on the correlation between Surface Tension, Complexity, Heavy Atomic Count, Density and Index of refraction of Butane derivatives with $VL$ temperature index ($VLTI$). In this paper we compute the $VL$ temperature index of line graphs of subdivision graphs of Archimedean Lattices.

Keywords and Phrases

Temperature of a vertex, VL temperature index, Archi -medean Lattice.

A.M.S. subject classification

05C07, 05C10, 05C76.

.....