Characterizing finite nilpotent groups associated with a graph theoretic equality

被引:0
作者
Ramesh Prasad Panda
Kamal Lochan Patra
Binod Kumar Sahoo
机构
[1] Indian Institute of Technology Kanpur,Department of Mathematics and Statistics
[2] National Institute of Science Education and Research Bhubaneswar,School of Mathematical Sciences
[3] Homi Bhabha National Institute,undefined
来源
Ricerche di Matematica | 2024年 / 73卷
关键词
Nilpotent group; Power graph; Vertex connectivity; Minimum degree; 20D15; 05C25; 05C40;
D O I
暂无
中图分类号
学科分类号
摘要
The power graph of a group is the simple graph whose vertices are the group elements and two vertices are adjacent whenever one of them is a positive power of the other. In this paper, we characterize the finite nilpotent groups whose power graphs have equal vertex connectivity and minimum degree.
引用
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页码:1017 / 1027
页数:10
相关论文
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