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.

摘要

化学图论模型已被广泛用作化合物性质的预测器。纳米技术是在原子和分子尺度上操纵物质的研究。纳米技术在医学、化学、能源、农业、信息和通信、重工业和消费品领域有许多应用。分子图中的 Kekule 结构只不过是图中的完美匹配。覆盖分子图 G 的边集的 Kekule 结构的最小数量称为 G 的过度指数。在本文中，我们确定过度指数为$吨üC_4{C}_8(\mathrm{小号})[p,q]$纳米片，$\mathit{NPHX}[米,n]$纳米管，$吨üC_4{C}_8(R)[p,q]$纳米管、H-蒽纳米管和 H-并四烯纳米管。