The intersection power graph associated with a finite group

被引：3
|
作者：
Lv, Wei [1 ]
Ma, Xuanlong [1 ]
机构：
[1] Xian Shiyou Univ, Sch Sci, Xian 710065, Peoples R China
来源：
SCIENCEASIA | 2021年 / 47卷 / 05期
基金：
中国国家自然科学基金;
关键词：
intersection power graph; power graph; enhanced power graph; finite group;
D O I：
10.2306/scienceasia1513-1874.2021.091
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We characterize the independence number of the intersection power graph of a group, which extends some results in Aprose et al [Punjab Univ J Math 52 (2020):47-53]. Moreover, the finite groups with dominatable intersection power graphs are characterized, which generalizes some results in Bera [Electron J Graph Theory Appl 6 (2018):178-189]. Furthermore, we characterize the finite groups whose intersection power graphs equal to their power graphs, enhanced power graphs, commuting graphs, and order supergraphs.
引用
收藏
页码：657 / 664
页数：8
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