On the unimodality of Zhang-Zhang polynomials of parallelogram chains

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Discrete Applied Mathematics Pub Date : 2025-05-12 DOI:10.1016/j.dam.2025.05.007

Guanru Li , Yi Wang , Qiqi Xiao

引用次数: 0

Abstract

The Zhang-Zhang polynomial counts Clar covers of a hexagonal system and is closely related to many important topological invariants. Heping Zhang and Fuji Zhang conjectured that the Zhang-Zhang polynomial of any hexagonal system has unimodal coefficients. In this paper we show that Zhang-Zhang polynomials of the parallelogram chains have some stronger unimodality properties.

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平行四边形链张张多项式的单模性

Zhang-Zhang多项式计算六边形系统的Clar覆盖，并与许多重要的拓扑不变量密切相关。张和平和张富士猜想任何六边形系统的张张多项式都具有单峰系数。本文证明了平行四边形链的张-张多项式具有一些较强的单峰性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Discrete Applied Mathematics 数学-应用数学

CiteScore

2.30

自引率

9.10%

发文量

422

审稿时长

4.5 months

期刊介绍： The aim of Discrete Applied Mathematics is to bring together research papers in different areas of algorithmic and applicable discrete mathematics as well as applications of combinatorial mathematics to informatics and various areas of science and technology. Contributions presented to the journal can be research papers, short notes, surveys, and possibly research problems. The "Communications" section will be devoted to the fastest possible publication of recent research results that are checked and recommended for publication by a member of the Editorial Board. The journal will also publish a limited number of book announcements as well as proceedings of conferences. These proceedings will be fully refereed and adhere to the normal standards of the journal. Potential authors are advised to view the journal and the open calls-for-papers of special issues before submitting their manuscripts. Only high-quality, original work that is within the scope of the journal or the targeted special issue will be considered.