| 33阶Steiner三连系及67阶Steiner三连系的构造 |
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| 引用本文： | 俞万禧.33阶Steiner三连系及67阶Steiner三连系的构造[J].井冈山学院学报,2006(9). |
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| 作者姓名： | 俞万禧 |
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| 作者单位： | 安徽理工大学 土木系 |
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| 摘 要： | 给出了“边矩阵”及“完全三分图”的定义,为了构造v=2t 1阶Steiner三连系,提出了基于图论理论的构造思路,证明了2t 1阶Steiner三连系的存在和构造的定理。介绍了33阶Steiner三连系和67阶Stein- er三连系的构作和计数。
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| 关 键 词： | 三连系 完全三分图 阶 构造 计数 |
The construction of Steiner triple systems of order 33 and 67 |
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| CHOU Wan-xi.The construction of Steiner triple systems of order 33 and 67[J].Journal of Jinggangshan University,2006(9). |
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| Authors: | CHOU Wan-xi |
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| Abstract: | The definitions of edge matrix and complete tripartite graph are given.To construct Steiner triple systems of order 2t 1 the construction based on graph theory is proposed.The existence and eonstru- tion theorem of Steiner triple systems of order 2t 1 is proved.The construction and enumeration of Steiner triple systems of order 33 and 67 are presented. |
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| Keywords: | Triple systems Complete tripartite graph Order Construction Enumeration |
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