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

页码：657 / 664

页数：8

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