| 阶为23p群的Cayley图 |
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| 引用本文： | 王艳芳,张相斌.阶为23p群的Cayley图[J].辽宁工程技术大学学报(自然科学版),2007,26(3):470-472. |
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| 作者姓名： | 王艳芳 张相斌 |
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| 作者单位： | 大连大学,信息工程学院,辽宁,大连,116622 |
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| 基金项目： | 国家自然科学基金资助项目(70572069) |
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| 摘 要： | 为了反映Cayley图结构的规律性和自身特点,采取几类定义关系较复杂的有限群的Cayley有向图作法。结果表明:连接法只用定义关系中表示闭道路的字来表述,对于反映Cayley图结构的规律性和自身特点尚显不够。用几类定义关系较复杂的有限群Cayley有向图作法,不但揭示了Cayley图结构的规律性和自身特点,而且进一步解决了阶为23p群等一批有限群的Cayley有向图作法。该结果更简捷地完成Cayley有向图的几何实现。
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| 关 键 词： | 有限群 Cayley有向图 生成关系 |
| 文章编号： | 1008-0562（2007）03-0470-03 |
| 修稿时间： | 2006-02-15 |
Cayley graphs of group with degree of 23p |
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| WANG Yan-fang,ZHANG Xiang-bin.Cayley graphs of group with degree of 23p[J].Journal of Liaoning Technical University (Natural Science Edition),2007,26(3):470-472. |
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| Authors: | WANG Yan-fang ZHANG Xiang-bin |
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| Institution: | College of Information Engineering, Dalian University, Dalian 116622, China |
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| Abstract: | For reflecting the regulation and characteristic of the structure of Cayley graphs,the work focuses on the constructions of the Cayley directed graphs of the finite groups with complex relations given.The result shows the connection is expressed only by the words that are used to denote the close road.And it is not enough to reflect the regulation and characteristic of the structure of Cayley graphs.By the method of the Cayley directed graphs of the finite groups with complex relations,not only the regulation and characteristic of the structure of Cayley graphs are given,but also the problems are solved of the Cayley directed graphs of the finite groups with the degree 2 3p.The original results indicate that the geometric realization of the Cayley directed graphs of the finite groups are solved more simply. |
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| Keywords: | finite groups Cayley directed graphs generating relation |
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