Forcing Polynomial of Double Hexagonal Chains

doi:10.1080/10406638.2022.2083193

	Forcing Polynomial of Double Hexagonal Chains
	Zhao, Shuang1,2 ; Fan, Xinman1,2
	2022
发表期刊	POLYCYCLIC AROMATIC COMPOUNDS
卷号	43 期号:5 页码:4055-4069
摘要	For hexagonal systems, the maximum forcing number is equal to the Clar number, which is an invariant to estimate the resonance energy. The forcing number of a perfect matching M of a graph G was introduced by Harary et al., which is the smallest cardinality over all subsets of M that are not included by any other perfect matchings of G. The same concept under the name 'degree of freedom' was proposed by Klein and Randic in earlier time. The first author and collaborators introduced the forcing polynomial of a graph as an enumerating polynomial for perfect matchings with the same forcing number. In this paper, we derive a recurrence relation of forcing polynomial for double hexagonal chains, which is a hexagonal system constructed by successive triple-edge fusions of naphthalenes. As consequences, we obtain explicit forms of forcing polynomials for double linear and zigzag hexagonal chains, and some special examples.
关键词	PERFECT MATCHINGS NUMBER SPECTRUM FREEDOM SYSTEM
DOI	10.1080/10406638.2022.2083193
收录类别	SCIE
ISSN	1040-6638
语种	英语
WOS研究方向	Chemistry
WOS类目	Chemistry, Organic
WOS记录号	WOS:000807048900001
出版者	TAYLOR & FRANCIS LTD
原始文献类型	Article ; Early Access
EISSN	1563-5333
引用统计	被引频次：2[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.lzufe.edu.cn/handle/39EH0E1M/32764
专题	信息工程与人工智能学院
作者单位	1.Lanzhou Univ Finance & Econ, Sch Informat Engn, Lanzhou 730000, Gansu, Peoples R China; 2.Key Lab E Business Technol & Applicat Gansu Prov, Lanzhou, Gansu, Peoples R China
第一作者单位	兰州财经大学
推荐引用方式 GB/T 7714	Zhao, Shuang,Fan, Xinman. Forcing Polynomial of Double Hexagonal Chains[J]. POLYCYCLIC AROMATIC COMPOUNDS,2022,43(5):4055-4069.
APA	Zhao, Shuang,&Fan, Xinman.(2022).Forcing Polynomial of Double Hexagonal Chains.POLYCYCLIC AROMATIC COMPOUNDS,43(5),4055-4069.
MLA	Zhao, Shuang,et al."Forcing Polynomial of Double Hexagonal Chains".POLYCYCLIC AROMATIC COMPOUNDS 43.5(2022):4055-4069.