Excessive Index of Certain Carbon Based Nanotubes

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 TUC4C8ðSÞ1⁄2p, q nanosheet, NPHX1⁄2m, n nanotube, TUC4C8ðRÞ1⁄2p, q nanotube, H-anthracenic nanotube, and H-tetracenic nanotube.