| 引用本文： |
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徐尚进,郭松涛,李德雪.一类3pn阶亚循环群的4度Cayley图[J].广西科学,2008,15(2):105-108,112. [点击复制]
- XU Shang-jin,GUO Song-tao,LI De-xue.Tetravalent Cayley Graphs on a Kind of Metacyclic Groups with Order 3pn[J].Guangxi Sciences,2008,15(2):105-108,112. [点击复制]
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| 摘要: |
| 采用群与图的方法,研究一类3pn阶亚循环群的连通4度无向Cayley图.通过决定Caley图的自同构群得出此类亚循环群是弱4-CI的,并由此给出3pn亚循环群的连通4度无向Cayley图的完全分类,最后证明此类图都正规而且非弧传递. |
| 关键词: 有限群 正规Cayley图 弱CI性 |
| DOI： |
| 投稿时间：2008-01-28 |
| 基金项目:广西自然科学基金项目(0542044);广西研究生教育创新计划项目(2007105930701M33)资助 |
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| Tetravalent Cayley Graphs on a Kind of Metacyclic Groups with Order 3pn |
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XU Shang-jin, GUO Song-tao, LI De-xue
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| (School of Mathematics and Information Sciences, Guangxi University, Nanning, Guangxi, 530004, China) |
| Abstract: |
| A kind of metacyclic groups with order 3pn was researched by using the group-theoretic and graphic methods.Though determining the full automorphism groups of these Cayley graphs, we have that the group is a weak 4-CI group and then determine the complete classification of its connected tetravalent Cayley graphs.Finally, we prove that all these Cayley graphs are normal but no arc-transitive. |
| Key words: finite group normal Cayley graph weak CI-property |
