论文标题
某些组的功率图的霍索亚特性
Hosoya properties of power graphs over certain groups
论文作者
论文摘要
有限组的$ \ Mathcal {g}）$表示有限组$ \ Mathcal {g} $表示的电源图是带有顶点$ \ Mathcal {g} $的图表$ m \ in \ mathbb {n} $。根据距离的不同，霍索亚多项式包含有关图形不变的许多知识，可用于确定众所周知的化学描述符。图$γ$的Hosoya索引是$γ$的匹配总数。在本文中，计算了与有限组相关的功率图的霍索亚性质，包括霍索亚指数，霍索亚多项式及其倒数。
The power graph denoted by $\mathcal{P}(\mathcal{G})$ of a finite group $\mathcal{G}$ is a graph with vertex set $\mathcal{G}$ and there is an edge between two distinct elements $u, v \in \mathcal{G}$ if and only if $u^m = v$ or $v^m = u$ for some $m \in \mathbb{N}$. Depending on the distance, the Hosoya polynomial contains a lot of knowledge about graph invariants which can be used to determine well-known chemical descriptors. The Hosoya index of a graph $Γ$ is the total number of matchings in $Γ$. In this article, the Hosoya properties of the power graphs associated with a finite group, including the Hosoya index, Hosoya polynomial, and its reciprocal are calculated.
