论文标题
关于有限组的增强功率图的连通性
On the connectivity of enhanced power graph of finite group
论文作者
论文摘要
本文介绍了有限组的增强功率图的顶点连接。我们对所有Abelian组G进行了分类，使得G的增强功率图的顶点连接为1。我们得出了任何一般Abelian组G的增强功率图。此外，我们研究了一些特殊类别的非亚伯式G组G，以便连接了适当的增强功率图，并找到了它们的顶点连接。
This paper deals with the vertex connectivity of enhanced power graph of finite group. We classify all abelian groups G such that vertex connectivity of enhanced power graph of G is 1. We derive an upper bound of vertex connectivity for the enhanced power graph of any general abelian group G. Also we completely characterize all abelian group G, such that the proper enhanced power graph is connected. Moreover, we study some special class of non-abelian group G such that the proper enhanced power graph is connected and we find their vertex connectivity.
