On Degree Based Topological Properties of Two Carbon Nanotubes

Abstract

A nanostructure belong to a significant and an extensively investigated compounds in chemical science. It has been derived through engineering mechanism at the molecular scale. The most important of these new materials are carbon nanotubes. Carbon nanosheets are 2-dimensional lattices of carbon nanotubes. To compute and study topological indices of nanostructures are a respected problem in nanotechnology. Quantitative structure-property and structure-activity relationships of the carbon nanotubes compounds necessitate expressions for the molecular topological features of these compounds. Topological indices are vital devices for investigating chemical compounds to comprehend the fundamental topology of chemical structures. Ev-degree and ve-degree based topological indices are two novel degrees based indices as of late defined in chemical graph theory. In this paper, we have computed topological indices based on ev-degree and ve-degree for the two significant classes of carbon nanosheets composed by C₄ and C₈ denoted by $T^1{C}_4{C}_8(S)[p,q]$ and $T^2{C}_4{C}_8(R)[p,q].$

Keywords:

• Carbon nanosheets
• ev-degree
• $T^1{C}_4{C}_8(S)[p,q]$
• $T^2{C}_4{C}_8(R)[p,q]$
• topological indices
• ve-degree

Acknowledgment

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.

Additional information

Funding

This is research was supported by the Applied Basic Research (Key Project) of Sichuan Province under grant 2017JY0095 and the Soft Science Project of Sichuan Province under grant 2017ZR0041.