Computing three topological indices for Titania nanotubes TiO2[m,n]

Abstract

A numeric quantity which characterizes the whole structure of a graph is called a topological index. The concept of Generalized Zagreb, atom–bond connectivity (ABC) and geometric–arithmetic (GA) topological indices was established in chemical graph theory based on vertex degrees. Later on, other versions of ABC and GA indices were introduced and some of the versions of these indices are recently designed. In this article, we compute, Generalized Zagreb index GZ, fourth version of atom–bond connectivity (ABC4) index and fifth version of geometric–arithmetic (GA5) index for an infinite class of Titania nanotubes TiO2[m,n].

Keywords

• Generalized Zagreb index GZ
• Fourth atom–bond connectivity ABC4 index
• Fifth geometric–arithmetic (GA5) index
• Titania nanotubes