Topological Characterization of Hexagonal Network and Non-Kekulean Benzenoid Hydrocarbon

Abstract

Graph theory has great deal of application in disciplines like biology, computer science, informatics, engineering, mathematics,
social science, linguistics and medicine. Topological indices are created by labeling the chemical structure through numerical
parameters. These notations link chemical compounds physicochemical features such as boiling temperature, stability,
strain energy etc, to its molecular structure. Different topological features of chemical structure have been explored. One of the
molecular graphs topological indices are the connection indices defined on the number of connection between vertices of distance
two. In this work, we compute the first Zagreb connection index, second Zagreb connection index, and modified first Zagreb
connection index for hexagonal network and non kekulean benzenoid hydrocarbon.