The intersection subgroup graph of a group

被引：0

作者：

Anderson, David F. ^{[1
]}

Al-Kaseasbeh, Saba ^{[2
]}

机构：

[1] Univ Tennessee, Dept Math, Knoxville, TN USA

[2] Tafila Tech Univ, Fac Sci, Dept Math, Tafila, Jordan

来源：

COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 08期

关键词：

Abelian group; complete bipartite graph; complete graph; intersection graph; intersection subgroup graph; group; planar graph; zero-divisor graph; ZERO-DIVISOR GRAPH;

D O I：

10.1080/00927872.2023.2186146

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let G be a group. In this paper, we introduce and study the intersection subgroup graph of G as the (simple) graph Gamma(S)(G) with vertices the nontrivial subgroups H of G such that H boolean AND K = {e} for some nontrivial subgroup K of G, and distinct vertices H and K are adjacent if and only if H boolean AND K = {e}. We investigate when Gamma(S)(G) is a nonempty, finite, complete, complete bipartite, or planar graph.

引用

页码：3556 / 3573

页数：18

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