The generalized Zhang–Zhang polynomial of benzenoid systems – theory and applications

Boris Furtula,Slavko Radenković,Izudin Redžepović,Niko Tratnik,Petra Žigert Pleteršek

Applied Mathematics and Computation（2022）

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摘要

The generalized Zhang–Zhang (GZZ) polynomial was introduced recently aiming to increase the sensitivity of the well-known Zhang–Zhang polynomial onto π-electron cyclic conjugation of 10-membered rings. Here, the recursive formulas for the calculation of the GZZ of the benzenoid systems are derived. Then, an algorithm for calculating the GZZ of benzenoid chains is given. Lastly, testing the chemical applicability of GZZ is performed.

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关键词

Zhang–Zhang polynomial,Generalized Zhang–Zhang polynomial,Benzenoid systems,Kekulé structures,Clar structures

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