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关于不含k-C-圈的n阶r-一致超图的若干结果
引用本文:林启忠,刘娟,杜智华.关于不含k-C-圈的n阶r-一致超图的若干结果[J].数学研究,2006,39(3):246-251.
作者姓名:林启忠  刘娟  杜智华
作者单位:新疆师范大学数学系 新疆乌鲁木齐830054
基金项目:Supported by the Key Subject Foundation of Xinjiang Normal University
摘    要:主要讨论了不含k-C-圈的n阶r-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.

关 键 词:超图  k-C-圈  星H(x)  r-一致超图  并超图
收稿时间:2005-03-15

Some Findings on r-uniform Hypergraph of Order n Which Contains No k-C-cycle
Lin Qizhong, Liu Juan, Du Zhihua.Some Findings on r-uniform Hypergraph of Order n Which Contains No k-C-cycle[J].Journal of Mathematical Study,2006,39(3):246-251.
Authors:Lin Qizhong  Liu Juan  Du Zhihua
Abstract:This paper focuses on the r-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 K~r_n which contains no kC-cycle.
Keywords:Hypergragh  k-C-cycle  Star H(x)  r-uniform hypergraph  Union of hypergraphs
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