| 引用本文： |
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覃建军,王飞,陈康.6p阶二面体群的弱3-CI性[J].广西科学,2011,18(2):110-112. [点击复制]
- QIN Jian-jun,WANG Fei,CHEN Kang.Weak 3-CI Property of Dihedral Groups of Order 6p[J].Guangxi Sciences,2011,18(2):110-112. [点击复制]
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| 摘要: |
| 利用图和群的方法,证明6p阶二面体群是弱3-CI群,并决定了它连通3度Cayley图的完全分类,得出6p阶二面体群可以分为1/2(3p+1)类互不同构的Cayley图. |
| 关键词: 二面体群 弱3-CI群 Cayley图 图同 |
| DOI： |
| 投稿时间：2010-07-07修订日期：2011-01-06 |
| 基金项目: |
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| Weak 3-CI Property of Dihedral Groups of Order 6p |
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QIN Jian-jun1, WANG Fei2, CHEN Kang3
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| (15th Middle School of Nanning, Nanning, Guangxi, 530003, China;2.College of Mathematics and Physics of Xinjiang Agricultural University, Urumchi, Xinjiang, 830052, China;3rd Middle School of Nanning, Nanning, Guangxi, 530021, China) |
| Abstract: |
| We prove that the dihedral groups of order 6p are a weak 3-CI group, and determine the complete classification of its connected Cayley graphs of valencies 3.The dihedral groups of order 6p can be divided into 1/2 (3p+1) among different types of Cayley graph. |
| Key words: dihedral group weak 3-CI group Cayley graph graph isomorphisms |
