Chemical applicability and curvilinear regression models of vertex-degree-based topological index: Elliptic Sombor index

Abstract Chemical graph theory facilitates different tools that have significant applications in drug design and development. Recently Gutman et al., introduced a novel vertex-degree-based topological index called Elliptic Sombor index and its application through geometric approach. This article focusses on chemical applicability of Elliptic Sombor index through regression models using 22 benzenoid hydrocarbons. In this process, the chemical applicability of Elliptic Sombor index with various physicochemical properties of benzenoid hydrocarbons through curvilinear regression models is carried out. The data of the statistical analysis shows that Elliptic Sombor index is potential predictive index for the property Polarizability.