2^n和2p^2阶群上Cayley图的Hamilton图的分解 |
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引用本文: | 王艳芳.2^n和2p^2阶群上Cayley图的Hamilton图的分解[J].工科数学,2009(5):130-134. |
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作者姓名: | 王艳芳 |
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作者单位: | 大连大学信息工程学院,辽宁大连116622 |
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基金项目: | 国家自然科学基金(70572069);辽宁省教育厅高校科研计划项目(20082028) |
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摘 要: | 主要给出几类非交换群对Alspach猜想(当Cay(G,S)的度小于等于4时)成立,进一步对2n和2p2阶群Cayley图的Hamilton圈的分解进行了讨论.
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关 键 词: | Cayley图 Hamilton圈分解 非Abel群 |
On Hamilton Circle Decomposition of Cayley Graphs of Order 2^n and 2p^2 |
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Institution: | WANG Yan -fang (Information Engineering College, Dalian University, Dalian 116622, China) |
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Abstract: | We show that the Alspach conjecture is true for a few kinds of non -commutative groups with degree less than or equed to 4. Furthermore, the Hamilton circle decomposition of Cayley graphs for groups of order 2^n and 2p^2 is discussed. |
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Keywords: | Cayley digraph Hamilton circle non-Abelian graph |
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