THE 1-PLANARITY OF INTERSECTION GRAPH OF IDEALS OF A RING

被引：0

作者：

AbuHijleh, Eman A. ^{[1
]}

Al-Labadi, Manal ^{[2
]}

Al-Ezeh, Hasan ^{[3
]}

机构：

[1] Al Balqa Appl Univ, Dept Basic Sci, Al Zarka Univ Coll, Zarqa 313, Jordan

[2] Univ Petra, Fac Art & Sci, Dept Math, Amman, Jordan

[3] Univ Jordan, Dept Math, Sch Sci, Amman 11942, Jordan

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2019年 / 41期

关键词：

intersection graph of ideals of a ring; 1-planar graph; artinian ring;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A graph G = (V (G), E(G)) is called 1-planar if it can be drawn in the plane such that every edge of the graph is cut by at most one other edge of the graph. For any ring R, the ideal intersection graph of R, denoted by G(R), is the graph whose vertices are the nontrivial proper ideals of R and two distinct vertices are adjacent if they have nontrivial intersection. In this paper, we characterize when the intersection graph G(R) of a ring R, is 1-planar.

引用

页码：353 / 357

页数：5

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