| 高阶Steiner三连系及其构造方法 |
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| 引用本文： | 侴万禧.高阶Steiner三连系及其构造方法[J].安徽理工大学学报(自然科学版),2004,24(3):76-80. |
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| 作者姓名： | 侴万禧 |
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| 作者单位： | 安徽理工大学土木工程系,安徽,淮南,232001 |
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| 摘 要： | 提出了n阶Steiner三连系的一种构造法。该法的思路是n阶Steiner三连系的构造等价于将完全图Kn分离成n(n-1)／6个完全图K3。证明了关于Steiner三连系构造的命题。阐明了高阶Steine三连系构造的基本理论，介绍了117阶Steiner三连系构造的全过程。
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| 关 键 词： | Steiner三连系 阶 构造 集合 矩阵 |
| 文章编号： | 1672-1098(2004)03-0076-05 |
| 修稿时间： | 2004年4月11日 |
Seiner Triple System and Its Construction Method |
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| CHOU Wan-xi.Seiner Triple System and Its Construction Method[J].Journal of Anhui University of Science and Technology:Natural Science,2004,24(3):76-80. |
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| Authors: | CHOU Wan-xi |
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| Abstract: | A method of constructing Steiner triple systems of order-n is proposed. The concept of the proposed method is that the construction of Steiner triple systems of order-n is equivalent to the decomposition of a complete graph K_n into n(n-1)/6 complete sub-graphs K_3.The lemmas concerning construction of Steiner triple systems are proved. The basic theory of constructing Steiner triple systems is described. The entire procedure of constructing Steiner triple systems of order 117 is presented. |
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| Keywords: | Steiner triple order construction set matrix |
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