| D_n上的Cayley图的同构因子分解 |
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| 引用本文： | 张先迪. D_n上的Cayley图的同构因子分解[J]. 电子科技大学学报(社会科学版), 1991, 0(1) |
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| 作者姓名： | 张先迪 |
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| 作者单位： | 电子科技大学应用数学系 |
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| 摘 要： | 证明了素数度的阶为2n 的二面体群 D_n 上的 Cayley 图在 n 为奇,或 n 为2~k,或特征集满足一定条件下是有理的。同时也证明了三度二面体群上的 Cayley 图是有理的。
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| 关 键 词： | 二面体群 Cayley 图 同构因子分解 有理的 |
ISOMORPHIC FACTORIZATION OF CAYLEY GRAPH ON D_n |
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| Zhang Xiandi. ISOMORPHIC FACTORIZATION OF CAYLEY GRAPH ON D_n[J]. Journal of University of Electronic Science and Technology of China(Social Sciences Edition), 1991, 0(1) |
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| Authors: | Zhang Xiandi |
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| Affiliation: | Dept.of Applied Mathematics |
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| Abstract: | The following result is proved:cayley graph with prime degree on a dihedralgroup D_n of order 2n is rational if n is odd or 2~k,or any condition is satisfied for characteris-tic set.It is also proved that Cayley graph with 3 degree on a dihedral group is rational. |
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| Keywords: | dihedral group Cayley graph isomorphic factorization rational |
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