| 一类3p~2阶4度1-正则图 |
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| 引用本文： | 王艳丽,王长群,鲁丽萍.一类3p~2阶4度1-正则图[J].数学的实践与认识,2010,40(22). |
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| 作者姓名： | 王艳丽 王长群 鲁丽萍 |
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| 基金项目： | 国家自然科学基金，河南省教育厅基金 |
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| 摘 要： | 设p为大于3的素数,群G=和H=(其中r(?)1(mod p~2),r~3≡1(mod p~2),3|(p-1))是两类3p~2阶非交换群.通过研究Cayley图的正规性,完成了对G和H的所有4度Cayley图的分类,并得到了一类新的4度1-正则图.
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| 关 键 词： | Cayley图 正规Cayley图 1-正则图 |
A Family of 4-Valent One-Regular Graphs of Order 3p2 |
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| WANG Yan-li,WANG Chang-qun,LU Li-ping.A Family of 4-Valent One-Regular Graphs of Order 3p2[J].Mathematics in Practice and Theory,2010,40(22). |
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| Authors: | WANG Yan-li WANG Chang-qun LU Li-ping |
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| Abstract: | Let p be a prime and p > 3,G = and H = (where r =■ 1(mod p~2),r~3 = 1(mod p~2),3|(p-1)) are two non-Abelian goups of order 3p~2.In this paper,we classify all tetravalent Cayley graphs of G and H by investigating the normality of Cayley.As a byproduct,we obtain an infinite family of 4-valent one-regular graphs of order 3p~2. |
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| Keywords: | Cayley graph normal Cayley graph one-regular graph |
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