Excessive Index of Certain Carbon Based Nanotubes

Abstract

Chemical graph theory models have been extensively used as predictors of the properties of chemical compounds. Nanotechnology is the study of manipulating matter on an atomic and molecular scale. There are many applications of nanotechnology in the area of medicine, chemistry, energy, agriculture, information and communication, heavy industry, and consumer goods. A Kekule structure in a molecular graph is nothing but a perfect matching in the graph. The minimum number of Kekule structures that cover the edge set of a molecular graph G is known as the excessive index of G. In this article, we determine the excessive index for $TU{C}_4{C}_8(S)[p,q]$ nanosheet, $\mathit{NPHX}[m,n]$ nanotube, $TU{C}_4{C}_8(R)[p,q]$ nanotube, H-anthracenic nanotube, and H-tetracenic nanotube.

Keywords:

• Kekule structures
• perfect matchings
• excessive index carbon based nanotubes

Disclosure statement

No potential conflict of interest was reported by the authors.