Topological Properties of some Benzenoid Chemical Structures by Using Face Index

A variety of graphical invariants have been described and tested, offering lots of applications in the fields of Nano chemistry, computational networks and different scientific research areas. One commonly studied group of invariants is the topological index, which allows the prediction of the chemical, biological and physical properties of a chemical structure. Topological indexes are numerical quantities that can be used to describe the properties of the molecular graph. In this article, we computed the face index formula for certain molecular structures of benzenoid series such as polycyclic aromatic hydrocarbon (PAH), jagged-rectangle benzenoid system (JRB[m,n]) and the series of concealed non-kekulean benzenoid system.