有限群幂图的型
Type of Power Graph of Finite Group
马雪松 1王畅 1徐伟1
作者信息
- 1. 首都师范大学数学科学学院,北京 100048
- 折叠
摘要
设G是有限群,那么群G的幂图是以G为图的顶点集合,G中两个不同的顶点x,y有边相连当且仅当存在正整数m,n使得y=xm或z=yn.通过图的顶点度序列来定义了简单图的型和型长.证明了几个型长较小的幂图的群的一些结论,同时也给出了商群幂图的一些性质.
Abstract
Let G be a finite group.The power graph of G is a graph with vertex set G and two distinct vertex x and y are adjacent if and only if exists positive number m,n such that xm=y or yn=x.In this paper,we define the type and type length of a simple undirected graph.Several conclusions are given for the groups of power graphs with smaller type lengths,and some properties of quotient group power graphs are also proved.
关键词
有限群/幂图/图的型Key words
finite group/power graph/type of graph引用本文复制引用
出版年
2024
NETL
NSTL
万方数据