| Cayley图的同构分解及弱DCI-子集的充要条件 |
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| 引用本文： | 黄琼湘. Cayley图的同构分解及弱DCI-子集的充要条件[J]. 数学研究及应用, 1998, 18(2): 281-284 |
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| 作者姓名： | 黄琼湘 |
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| 作者单位： | 新疆大学数学系 |
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| 摘 要： | 本文得到了Ｃａｙｌｅｙ图的同构分解定理及弱ＤＣＩ－子集的充要条件．证明了二面体群是弱２－ＤＣＩ－群，同时确定了二面体群上２度Ｃａｙｌｅｙ图的自同构群．
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| 关 键 词： | Cayley图 同构 DCI－子集 |
| 收稿时间： | 1995-01-08 |
Isomorphism Decomposition of Cayley Graph and Necessary and Sufficient Condition of Weak DCI-Subset |
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| Huang Qiongxiang. Isomorphism Decomposition of Cayley Graph and Necessary and Sufficient Condition of Weak DCI-Subset[J]. Journal of Mathematical Research with Applications, 1998, 18(2): 281-284 |
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| Authors: | Huang Qiongxiang |
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| Affiliation: | Dept. of Math.; Xinjiang Univ.; Urumqi |
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| Abstract: | In this paper, we prove a theorem of isomorphism decomposition of cayley graph and give a necessary and sufficient condition of the weak DCI-subset. As an application, we prove that dihedral group is a weak 2-DCI group and determine the automorphism group of cayley graph of degree 2 on dihedral group. |
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| Keywords: | Cayley graph isomorphism DCI-subset. |
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