| Steiner三连系的构造与计数 |
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| 引用本文： | 雷小磊,侴万禧.Steiner三连系的构造与计数[J].科技信息,2007(21):177-178. |
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| 作者姓名： | 雷小磊 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2t 1阶Steiner三连系的构造方法和计数方法,阐述了完全三分图及完全二分图在组合设计中的应用。证明了关于2t 1阶Steiner三连系存在和构造方面的定理。介绍了7×20个19阶Steiner三连系构造的全过程。
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| 关 键 词： | 三连系 阶 构造 计数 存在 |
The construction and enumeration of Steiner triple systems of order 2t 1 |
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| Lei xiao-lei Chou Wan-xi.The construction and enumeration of Steiner triple systems of order 2t 1[J].Science,2007(21):177-178. |
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| Authors: | Lei xiao-lei Chou Wan-xi |
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| Abstract: | The definitions of both constructing and enumerating Steiner triple of order 2t 1 are proposed. The application graphs in BIBD construction is described. The existence and construction theorem of Steiner triple systems of order 2t 1 is proved. 140 Steiner triple systems of order 19 and their entire construction procedure are presented. |
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| Keywords: | Triple systems order construction enumeration existence |
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