About the Randić Connectivity, Modify Randić Connectivity and Sum-connectivity Indices of Titania Nanotubes TiO2(m,n)

Abstract

The Randić Connectivity Index R(G) is one of the oldest connectivity index, introduced by Randić in 1975. Another connectivity indices is the Sum-Connectivity Index X(G) introduced in 2008 by Zhou and Trinajstić. Recently in 2011, a modification of the Randić Connectivity Index of a graph G was introduced by Dvorak et al. In this paper, we compute these connectivity topological indices for a family of molecular graphs known as titania nanotubes TiO₂(m,n).