Computational results on inertia indices, signature and nullity of C₄C₈ (R)nanotube

A molecular/chemical graph is hydrogen depleted chemical structure in which vertices denote atoms and edges denote the bonds. Topological descriptors are the numerical indices based on the topology of the atoms and their bonds (chemical conformation, quaternary structure). They correlate various physico-chemical properties like boiling point, enthalpy of formation, enthalpy of vaporization, Kovat’s constant etc., of various chemical compounds. Carbon nanotubes, a type of fullerene, have potential in fields such as nanotechnology, electronics, optics, materials science and architecture. The numerical parameters like inertia indices, signature and nullity attract much attention due to their diverse application in chemistry e.g., nullity of a molecular graph is related to the stability of saturated hydrocarbons.In this paper, inertia indices, signature and nullity of TUC₄ C₈(R) [2m-1,2n-1] nanotube are strong-minded. We conclude that the positive and negative inertia indices are equal for this nanotube and signature and nullity for this nanotube remain zero.