| 双Cayley图的Hamilton性 |
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| 引用本文： | 徐尚进,郭松涛,刘君. 双Cayley图的Hamilton性[J]. 广西大学学报(自然科学版), 2009, 34(2) |
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| 作者姓名： | 徐尚进 郭松涛 刘君 |
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| 作者单位： | 广西大学,数学与信息科学学院,广西,南宁,530004;广西大学,数学与信息科学学院,广西,南宁,530004;广西大学,数学与信息科学学院,广西,南宁,530004 |
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| 基金项目： | 国家自然科学基金,广西自治区科学基金,广西研究生教育创新计划 |
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| 摘 要： | 研究双Cayley图的Hamilton性,通过(单)Cayley图的Hamilton性给出双Cayley图是Hamilton图的两个充分条件,并证明二面体群D2p和3p(p为素数)阶亚循环群的双Cayley图是Hamilton图.
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| 关 键 词： | 有限群 双Cayley图 Hamilton性 Cayley图 图同构 |
Hamiltonian property of the bi-cayley graphs |
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| XU Shang-jin,GUO Song-tao,LIU Jun. Hamiltonian property of the bi-cayley graphs[J]. Journal of Guangxi University(Natural Science Edition), 2009, 34(2) |
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| Authors: | XU Shang-jin GUO Song-tao LIU Jun |
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| Affiliation: | College of Mathematics and Information Sciences;Guangxi University;Nanning 530004;China |
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| Abstract: | In this paper,Hamiltonian property of the bi-cayley graphs was investigated and the two sufficient conditions of the bicayley graphs to be Hamiltonian by using that of(single) cayley graphs were given out.Finally,the bi-cayley graphs of the dihedral group D2p and the metacyclic group with order 3p(p is prime) were proved to be Hamiltonian. |
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| Keywords: | finite group bi-cayley graph Hamiltonian property Cayley graph graph isomorphism |
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