Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 418, Issue -, Pages -Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2021.126822
Keywords
Zhang-Zhang polynomial; Generalized Zhang-Zhang polynomial; Benzenoid systems; Kekule structures; Clar structures
Categories
Funding
- Slovenian Research Agency [P1-0297, J1-9109]
- Serbian Ministry of Education, Science and Technological Development [451-03-9/2021-14/200122]
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This paper introduces the introduction of the generalized Zhang-Zhang (GZZ) polynomial and its application in increasing the sensitivity to pi-electron cyclic conjugation of 10-membered rings. The recursive formulas for calculating the GZZ of benzenoid systems are derived, and an algorithm for calculating the GZZ of benzenoid chains is provided. Lastly, the chemical applicability of GZZ is tested.
The generalized Zhang-Zhang (GZZ) polynomial was introduced recently aiming to increase the sensitivity of the well-known Zhang-Zhang polynomial onto pi-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.& nbsp;(c) 2021 Elsevier Inc. All rights reserved.
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