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Cayley图的同构分解及弱DCI-子集的充要条件
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.
作者姓名:黄琼湘
作者单位:新疆大学数学系
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.

关 键 词:Cayley图    同构    DCI-子集
收稿时间:1/8/1995 12:00:00 AM

Isomorphism Decomposition of Cayley Graph and Necessary and Sufficient Condition of Weak DCI-Subset
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.
Authors:Huang Qiongxiang
Institution:Dept. of Math.; Xinjiang Univ.; Urumqi
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.
Keywords:Cayley graph  isomorphism  DCI-subset  
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