| Normality of Tetravalent Cayley Graphs of Odd Prime-cube Order and Its Application |
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| 引用本文： | Yan Quan FENG Ming Yao XU. Normality of Tetravalent Cayley Graphs of Odd Prime-cube Order and Its Application[J]. 数学学报(英文版), 2005, 21(4): 903-912. DOI: 10.1007/s10114-004-0500-6 |
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| 作者姓名： | Yan Quan FENG Ming Yao XU |
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| 作者单位： | [1]Department of Mathematics, Beijing Jiaotong University, Beijing 100044, P. R. China [2]LMAM, Institute of Mathematics, Peking University, Beijing 100871, P. R. China |
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| 基金项目： | Supported by EYTP and NSFC （19831050） of China. |
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| 摘 要： |
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| 关 键 词： | Cayley群 Cayley图表 相称性图 有限群 半群 |
| 收稿时间： | 2002-11-08 |
| 修稿时间： | 2002-11-082004-03-16 |
Normality of Tetravalent Cayley Graphs of OddPrime–cube Order and Its Application |
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| Yan Quan Feng,Ming Yao Xu. Normality of Tetravalent Cayley Graphs of OddPrime–cube Order and Its Application[J]. Acta Mathematica Sinica(English Series), 2005, 21(4): 903-912. DOI: 10.1007/s10114-004-0500-6 |
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| Authors: | Yan Quan Feng Ming Yao Xu |
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| Affiliation: | (1) Department of Mathematics, Beijing Jiaotong University, Beijing 100044, P. R. China;(2) LMAM, Institute of Mathematics, Peking University, Beijing 100871, P. R. China |
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| Abstract: | Let p be an odd prime. In this paper we prove that all tetravalent connected Cayley graphs of order p^3 are normal. As an application, a classification of tetravalent symmetric graphs of odd prime-cube order is given. |
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| Keywords: | Cayley graph Normal Cayley graph Symmetric graph |
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