| 31阶Steiner三连系的构造与计数 |
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| 引用本文： | 侴万禧,李晓毅.31阶Steiner三连系的构造与计数[J].吉首大学学报(自然科学版),2010,31(5):1-4. |
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| 作者姓名： | 侴万禧 李晓毅 |
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| 作者单位： | （1.安徽理工大学土木建筑学院，安徽 淮南232001；2.沈阳师范大学数学与系统科学学院，辽宁 沈阳110034） |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 阐明了v阶Steiner三连系构造的基本思路,给出了完全图Kv的边矩阵的定义,提出了2t+1阶Steiner三连系构造的一种方法.介绍了依据已存15阶Steiner三连系ST(15)构造31阶Steiner三连系的全过程,并讨论了2t+1阶Steiner三连系的计数问题.
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| 关 键 词： | Steiner三连系 构造 阶 完全图 边矩阵 |
Construction and Enumeration of Steiner Triple System of Order 31 |
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| CHOU Wan-xi,LI Xiao-yi.Construction and Enumeration of Steiner Triple System of Order 31[J].Journal of Jishou University(Natural Science Edition),2010,31(5):1-4. |
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| Authors: | CHOU Wan-xi LI Xiao-yi |
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| Institution: | (1.School of Civil Engineering and Architecture,Anhui University of Science and Technology,Huainan 232001,Anhui China;2.School of Mathematics and Systems Science,Shenyang Normal University,Shenyang 110034,China) |
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| Abstract: | The basic concept of constructing Steiner triple system of order v is described.The definition of edge matrix of a complete graph Kv is given.A method of constructing Steiner triple system of order 2t+1 is proposed.The entire procedures of constructing Steiner triple system of order 31 according to the steiner triple system of order 15 is explicated.The enumeration problem of Steiner triple system is discussed. |
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| Keywords: | Steiner triple system construction order complete graph edge matrix |
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