The Redefined First, Second and Third Zagreb Indices of Titania Nanotubes TiO2[m,n]

Abstract

The first and the second Zagreb indices are two of the most thoroughly studied and oldest topological indices. Recently in 2013, Ranjini et al. re-defined the Zagreb indices, i.e. , the redefined first, second and third Zagreb indices of a graph G are defined as , and , respectively. In this research paper, we compute the redefined Zagreb indices of the Titania Nanotubes TiO 2 [ m , n ].