Hosoya and harary polynomials of zigzag and triangular benzenoid systems

Abstract

In the fields of chemical graph theory, topological index is a type of a molecular descriptor that is calculated based on the graph of a chemical compound. In 1947 Harry Wiener introduced "path number" which is now known as Wiener index and is the oldest topological index related to molecular branching. Hosoya polynomial plays a vital role in determining Wiener index. In this report, we compute the Hosoya polynomials for Zigzag and Triangular Benzenoid systems and recover Wiener and hyper Wiener indices from them. © 2020 Utilitas Mathematica Publishing Inc.. All rights reserved.