| 剩余为几乎2-正则的6-圈系 |
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| 引用本文： | 蒲利群,徐恒舟,沈灏.剩余为几乎2-正则的6-圈系[J].数学研究及应用,2013,33(6):653-665. |
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| 作者姓名： | 蒲利群 徐恒舟 沈灏 |
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| 作者单位： | 郑州大学数学与统计学院, 河南 郑州 450001;郑州大学数学与统计学院, 河南 郑州 450001;上海交通大学数学系, 上海 200240 |
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| 基金项目： | 国家自然科学基金 (Grant No.11071163). |
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| 摘 要： | Let Kn be a complete graph on n vertices. In this paper, we find the necessary conditions for the existence of a 6-cycle system of Kn - L for every nearly 2-regular leave L of Kn. This condition is also sufficient when the number of vertices of L is n - 4.
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| 关 键 词： | 周期系统 完全图 顶点 |
| 收稿时间： | 2012/8/28 0:00:00 |
| 修稿时间： | 2013/5/17 0:00:00 |
All Nearly 2-Regular Leaves of Partial 6-Cycle Systems |
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| Liqun PU,Hengzhou XU and Hao SHEN.All Nearly 2-Regular Leaves of Partial 6-Cycle Systems[J].Journal of Mathematical Research with Applications,2013,33(6):653-665. |
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| Authors: | Liqun PU Hengzhou XU and Hao SHEN |
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| Institution: | School of Mathematics and Statistics, Zhengzhou University, Henan 450001, P. R. China;School of Mathematics and Statistics, Zhengzhou University, Henan 450001, P. R. China;Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, P. R. China |
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| Abstract: | Let $K_{n}$ be a complete graph on $n$ vertices. In this paper, we find the necessary conditions for the existence of a $6$-cycle system of $K_{n}-L$ for every nearly $2$-regular leave $L$ of $K_{n}$. This condition is also sufficient when the number of vertices of $L$ is $n-4$. |
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| Keywords: | complete graph $6$-cycle nearly $2$-regular |
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