Topological Aspects of Single-Walled Titania Nanotubes

Abstract

In chemical graph theory, a topological index is a numerical representation of a chemical structure while a topological descriptor correlates certain physico-chemical characteristics of underlying chemical compounds besides its numerical representation. Graph theory plays an important role in modeling and designing any chemical network. A large number of properties like physico-chemical properties, thermodynamic properties, chemical activity and biological activity are determined by the chemical applications of graph theory. These properties can be characterized by certain graph invariants referred to as topological indices. In this paper, we discuss the titania nanotube ${\text{TNT}}_3[m,n],$ titania nanotube ${\text{TNT}}_6[m,n],$ and computed exact results for degree based topological indices.

Keywords:

• Balaban index
• forgotten topological index
• titania nanotube
• ${\text{TNT}}_3[m,n]$
• titania nanotube
• ${\text{TNT}}_6[m,n]$
• Zagreb type indices

Acknowledgments

The authors would like to thanks the two anonymous reviewers for their very constructive comments that helped us to enhance the quality of this manuscript.

Disclosure statement

The authors declare no conflicts of interest.

Data availability

The data used to support the findings of this study are cited at relevant places within the text as references.

Authors’ contributions

All authors contributed equally to this work.