Computation of Eccentricity based Topological Properties of a Carbon Nanotube

Chemical graph theory is prominent research area in mathematical chemistry, due to its extensive applications especially in quantitative structure-activity relationships (QSARs) where eccentricity based topological invariants are used for the mathematical modeling of biological activities of molecules, identifying structurally similar molecules and used to study the structure and properties of materials, such as polymers and ceramics. Carbon nanotubes (CNTs) are cylindrical structures made up of carbon atoms that are arranged in a unique hexagonal pattern. In this research, we examine the \(NA^{n}_{m}\) nanotube after considering it in the form of chemical graph and compute eccentricity based topological invariants like eccentric-connectivity index with total-eccentricity index with some versions of the zagreb indices.