论文标题
关于有限组的增强功率图和功率图的差
On Difference of Enhanced Power Graph and Power Graph of a Finite Group
论文作者
论文摘要
有限组$ g $的差异图$ d（g）$是$ g $的增强功率图和$ g $的功率图的差，所有隔离的顶点都被删除。在本文中，我们研究了基础$ g $的各种属性的$ d（g）$的连接性和完美性。我们还发现$ g $的差异图与$ g $的Gruenberg-Kegel图之间的几个连接。
The difference graph $D(G)$ of a finite group $G$ is the difference of enhanced power graph of $G$ and power graph of $G$, with all isolated vertices are removed. In this paper we study the connectedness and perfectness of $D(G)$ with respect to various properties of the underlying group $G$. We also find several connection between the difference graph of $G$ and the Gruenberg-Kegel graph of $G$.
