华东交通大学学报2025，Vol.42Issue(1)：120-126,7.
平面二部图的Clar覆盖多项式
The Clar Covering Polynomials of Plane Bipartite Graphs
摘要
Abstract
The Clar covering polynomial of molecular graphs is a method to characterize the electronic structure of conjugated systems.By studying the Clar covering polynomials of plane bipartite graphs,the resonance theo-ry of related molecular graphs and their properties can be thoroughly investigated.Based on the theorem related to Clar covering polynomials of plane bipartite graphs,the method of generating functions is utilized to compute Clar covering polynomials of plane bipartite graphs.Recurrence relationship for Clar covering polynomials of a special class of graphs are derived.In turn,explicit expressions the Clar covering polynomials of two classes of catacondensed plane bipartite graphs are computed using the generating function method.On the Clar covering polynomials of plane bipartite graphs,it is possible to understand the electronic structure of chemical molecules,predict their chemical properties and reaction behavior,and design new molecular structures.关键词
平面二部图/Clar覆盖多项式/递推关系/显式表达式Key words
plane bipartite graphs/the Clar covering polynomial/recurrence relations/explicit expressions分类
数学引用本文复制引用
刘莹,王广富,高新宇..平面二部图的Clar覆盖多项式[J].华东交通大学学报,2025,42(1):120-126,7.基金项目
国家自然科学基金项目(11861032,11961026) （11861032,11961026）
江西省自然科学基金项目(20202BABL201010) （20202BABL201010）
