SOME PROPERTIES OF THE ZERO-DIVISOR GRAPH FOR THE RING OF GAUSSIAN INTEGERS MODULO n

被引：4

作者：

Abu Osba, Emad ^{[1
]}

Al-Addasi, Salah ^{[2
]}

Al-Khamaiseh, Basem ^{[1
]}

机构：

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

[2] Hashemite Univ, Fac Sci, Dept Math, Zarqa 13115, Jordan

来源：

GLASGOW MATHEMATICAL JOURNAL | 2011年 / 53卷

关键词：

D O I：

10.1017/S0017089511000024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is a continuation for the study of the zero-divisor graph for the ring of Gaussian integers modulo n, Gamma(Z(n)[i]) in [8] (Emad Abu Osba, Salah Al-Addasi and Nafez Abu Jaradeh. Zero divisor graph for the ring of Gaussin integers modulo n. Comm. Algebra 36(10) (2008), 3865-3877). It is investigated, when is Gamma(Z(n)[i]) locally H, Hamiltonian or bipartite graph? A full characterisation for the chromatic number and the radius is also given.

引用

页码：391 / 399

页数：9

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