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| 模n剩余类环零因子图的一些性质 | |
| 引用本文： | 徐云,苏华东,黄海英. 模n剩余类环零因子图的一些性质[J]. 数学的实践与认识, 2013, 43(4): 244-248 |
| 作者姓名： | 徐云 苏华东 黄海英 |
| 作者单位： | 1. 黄冈师范学院数学与计算机科学学院,湖北黄冈,438000 2. 广西师范学院数学科学学院,广西南宁,530023 |
| 基金项目： | 国家自然科学基金(11161006);广西自然科学基金(2010GXNSFB013048);广西教育厅科研项目(201012MS140) |
| 摘 要： | 模n剩余类环Z_n的零因子图记为Γ(Z_n),其顶点为Z_n的所有非零零因子,两个不同的顶点x与y有一条边相连当且仅当xy=0.对Γ(Zn)和(?)的欧拉性及一笔画性进行了探讨,完全确定了当n为何值时,Γ(Z_n)和(?)为欧拉图或是一笔画图. |
| 关 键 词： | 模n剩余类环 零因子图 欧拉图 一笔画图 |
Some Properties of Zero-divisor Graph of Residue Classes Modulo n |
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| XU Yun , SU Hua-dong , HUANG Hai-ying. Some Properties of Zero-divisor Graph of Residue Classes Modulo n[J]. Mathematics in Practice and Theory, 2013, 43(4): 244-248 | |
| Authors: | XU Yun SU Hua-dong HUANG Hai-ying |
| Affiliation: | 1.College of Mathematics and Computer Sciences,Huanggang Normal University,Huanggang 438000,China) (2.School of Mathematical Sciences,Guangxi Teachers Education University,Nanning 530023,China) |
| Abstract: | The zero-divisor graph of residue classes modulo n,Z_n,denoted byΓ(Z_n),is a simple graph whose vertices are all nonzero zero-divisors of Z_n and two distinct vertices x,y are adjacent if and only if xy = 0 in Z_n.In this paper,we investigate whenΓ(Z_n) and its complementΓ(Z_n) are one-drawing graph,Eulerian graph respectively,we obtain completely results. |
| Keywords: | residue classes modulo n,zero-divisor graph Eulerian graph one-drawing graph |
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