Vertex PIv Topological Index of Titania Carbon Nanotubes TiO2(m,n)

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) = Σe=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 TiO2[m,n].

Keywords

• molecular graph
• degree of vertex
• eccentricity of vertex
• pi index
• titanian carbon nanotube
• 05c05
• 92e10