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
收藏
页码：391 / 399
页数：9
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