| 2p^2阶群的CI-性及应用 |
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| 引用本文： | 徐鹏,冯衍全.2p^2阶群的CI-性及应用[J].科学技术与工程,2007,7(23):5982-5986. |
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| 作者姓名： | 徐鹏 冯衍全 |
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| 作者单位： | 北京交通大学理学院,北京,100044 |
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| 基金项目： | 高等学校博士学科点专项科研基金(20060004026)资助 |
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| 摘 要： | CI性是研究Cayley图同构问题的重要性质。设p为奇素数,证明了每个2p2阶群都是弱3-CI-群。应用该结果,给出了2p2阶连通3度Cayley图的分类。
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| 关 键 词： | Cayley图 正规Cayley图 CI-群 |
| 文章编号： | 1671-1819(2007)23-5982-05 |
| 修稿时间： | 2007-08-21 |
CI-property of the Groups with Order 2p^2 and Its Application |
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| XU Peng,FENG Yan-quan.CI-property of the Groups with Order 2p^2 and Its Application[J].Science Technology and Engineering,2007,7(23):5982-5986. |
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| Authors: | XU Peng FENG Yan-quan |
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| Institution: | School of Science, Beijing Jiaotong University, Beijing 100044, P. R. China |
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| Abstract: | The CI-property is an important property in studying the isomorphisms between Cayley graphs.Let p be an odd prime. It is proved that every group of order 2p2 is weakly 3-CI-group. Using this, all connected cubic Cayley graphs are determined up to isomor-phism. |
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| Keywords: | Cayley graph normal Cayley graph CI-group |
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