Forcing Polynomial of Double Hexagonal Chains
Forcing Polynomial of Double Hexagonal Chains
复制标题
双六角链的受力多项式
DOI：
10.1080/10406638.2022.2083193
复制
发表时间：
2022
影响因子：
2.4
通讯作者：
Xinman Fan
中科院分区：
文献类型：
--
作者：
Shuang Zhao;Xinman Fan
对于六角体系，最大强迫数等于克拉数，克拉数是估算共振能量的不变量。图G的完美匹配M的强迫数是由Harary等人引入的，它是M的所有子集上不被G的任何其他完美匹配包含的最小基数。Klein和Randic在较早的时候提出了同样的概念，称为自由度。第一作者及其合作者引入了图的强制多项式作为具有相同强制数的完美匹配的枚举多项式。本文导出了双六角链的强迫多项式的递推关系，双六角链是由萘的连续三边融合构成的六角系统。作为后果，我们得到明确的形式的强制多项式。双线性和锯齿形六边形链，和一些特殊的。例子。
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.