| 模咒剩余类环的单位图性质 |
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| 引用本文： | 苏华东,韦梅开.模咒剩余类环的单位图性质[J].广西师院学报,2013(3):13-16. |
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| 作者姓名： | 苏华东 韦梅开 |
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| 作者单位： | 广西师范学院数学科学学院,广西南宁530023 |
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| 基金项目： | 国家自然科学基金项目（11161006）;广西自然科学基金（2011GXNSFA018139） |
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| 摘 要： | 摘要：主要研究模，2剩余类环Zn的单位图性质．模n剩余类环Zn的单位图记为G（Zn），它的顶点为Zn中的元素，两个不同的顶点i与J相连当且仅当i＋j是Zn的一个单位．该文对G（Zn）的直径、半径和围长进行了分类，还确定了G（Zn）什么时候是二部图和自补图．
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| 关 键 词： | 模n剩余类环 单位图 直径 半径 围长 |
Properties of the Unit Graph for Residue Class Ring Modulo n |
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| SU Hua-dong,WEI Mei-kai.Properties of the Unit Graph for Residue Class Ring Modulo n[J].Journal of Guangxi Teachers College(Natural Science Edition),2013(3):13-16. |
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| Authors: | SU Hua-dong WEI Mei-kai |
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| Institution: | (School of Mathematical Sciences,Guangxi Teachers Education University,Nanning 530023, China) |
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| Abstract: | In this paper, we mainly study the unit graph of residue class ring modulo n. The unit graph of residue class ring modulo n, denoted by G（Z.）, is a simple graph whose vertices are all ele- ments of Zn and two distinct vertices i and j are adjacent if and only if i q-j is a unit of Zn. In this pa- per, we classify the diameter, radius and girth of G（Zn）.We also determine when G（Z.） is a bipartite graph or self-complementary graph. |
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| Keywords: | residue class ring modulo n unit graph diameter radius girth |
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