论文标题
Pyrene系统的完美匹配的强迫和反强制性多项式
Forcing and anti-forcing polynomials of perfect matchings of a pyrene system
论文作者
论文摘要
Harary等人引入了图形的完美匹配的强迫数量，该图是由Klein和Randić在分子图中的kekulé结构自由度的理想的理想。从某种意义上说，Vukičević和Trinajstié提出了图形的反强度数量，然后Lei等人提出了反强度数量。将这个想法概括为单一的完美匹配。最近，提出了图表的完美匹配的强迫和反强度多项式，以计算多项式以进行完美匹配，分别具有相同的强迫数和反强度数。在本文中，我们获得了Pyrene系统的强迫和反强度多项式的明确表达。结果，确定了pyr烯系统的强迫和抗强化光谱。
The forcing number of a perfect matching of a graph was introduced by Harary et al., which originated from Klein and Randić's ideal of innate degree of freedom of Kekulé structure in molecular graph. On the opposite side in some sense, Vukičević and Trinajstié proposed the anti-forcing number of a graph, afterwards Lei et al. generalized this idea to single perfect matching. Recently the forcing and anti-forcing polynomials of perfect matchings of a graph were proposed as counting polynomials for perfect matchings with the same forcing number and anti-forcing number respectively. In this paper, we obtain the explicit expressions of forcing and anti-forcing polynomials of a pyrene system. As consequences, the forcing and anti-forcing spectra of a pyrene system are determined.
