Vertex PI v Topological Index of Titania Carbon Nanotubes TiO 2 (m,n)

Abstract

Abstract A topological index of a graph G is a numeric quantity related to G which is invariant under automorphisms of G. The Padmakar-Ivan (PI) index of a graph G is defined as PI(G) = Σ e=uv∈E(G) [nu + nv ], where nu is the number of edges of G lying closer to v than u, analogously nv . In this paper, we compute the vertex PI index of Titania carbon Nanotubes TiO 2[m,n].