ZERO DIVISOR GRAPH FOR THE RING OF GAUSSIAN INTEGERS MODULO n

被引：20

作者：

Abu Osba, Emad ^{[1
]}

Al-Addasi, Salah ^{[2
]}

Abu Jaradeh, Nafiz ^{[1
]}

机构：

[1] Univ Jordan, Fac Sci, Dept Math, Amman 11942, Jordan

[2] Hashemite Univ, Fac Sci, Dept Math, Zarqa, Jordan

来源：

COMMUNICATIONS IN ALGEBRA | 2008年 / 36卷 / 10期

关键词：

Bipartite graph; Complete graph; Diameter; Eulerian graph; Gaussian integers; Girth; Graph; Planar graph; Zero divisor graph;

D O I：

10.1080/00927870802160859

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article studies the zero divisor graph for the ring of Gaussian integers modulo n, Gamma(Z(n)[i]). For each positive integer n, the number of vertices, the diameter, the girth and the case when the dominating number is 1 or 2 is found. Complete characterizations, in terms of n, are given of the cases in which Gamma(Z(n)[i]) is complete, complete bipartite, planar, regular or Eulerian.

引用

页码：3865 / 3877

页数：13

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