On the Atom Bond Connectivity Index of Titania Nanotubes TiO2 (m, n)

Abstract

Let G(V,E) be a simple molecular graph, for a graph G(V,E) with vertex(atom) setV and the edge(bond) set E, the third version of atom bond connectivity index isdefined as 3( )2( ) ,.v ue uv E G v um mABC Gm m     where mv is the number ofedges of G lying near to u than to v. In this research paper, we compute the thirdversion of atomic-bond connectivity index of the Titania Nanotubes ( , ) 2 TiO m n