| 关于不含k-C-圈的n阶γ-一致超图的若干结果 |
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| 引用本文： | 林启忠,刘娟,杜智华.关于不含k-C-圈的n阶γ-一致超图的若干结果[J].数学研究,2006,39(3):246-251. |
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| 作者姓名： | 林启忠 刘娟 杜智华 |
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| 作者单位： | 新疆师范大学数学系,新疆,乌鲁木齐,830054 |
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| 基金项目： | Supported by the Key Subject Foundation of Xinjiang Normal University |
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| 摘 要： | 主要讨论了不含k-C-圈的n阶γ-一致超图,对不同的k, 分别得出了它的极大边数的一个下界,并且得出在有些情况下它的下界是最大的.另外,我们得到了Krn含k-C-圈的一个充分必要条件.
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| 关 键 词： | 超图 k-C-圈 星H(x) γ-一致超图 并超图 γ-uniform hypergraph |
| 修稿时间： | 2005年3月15日 |
Some Findings on γ-uniform Hypergraph of Order n Which Contains No k-C-cycle |
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| Lin Qizhong,Liu Juan,Du Zhihua.Some Findings on γ-uniform Hypergraph of Order n Which Contains No k-C-cycle[J].Journal of Mathematical Study,2006,39(3):246-251. |
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| Authors: | Lin Qizhong Liu Juan Du Zhihua |
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| Abstract: | This paper focuses on the γ-uniform hypergraph of order n which contains no k-C-cycle. For distinct integer k, a lower bound of the maximum number of edges of it is achieved, respectively. And in certain cases, the lower bounds are maximal. Furthermore, we obtain a necessary and sufficient condition for Krn which contains no k-C-cycle. |
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| Keywords: | Hypergragh k-C-cycle Star H(x) Union of hypergraphs |
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