| 不同构的2t+1阶Kirkman三连系 |
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| 引用本文： | (人丑刂万禧,徐传友.不同构的2t+1阶Kirkman三连系[J].阜阳师范学院学报(自然科学版),2006,23(2):6-12. |
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| 作者姓名： | (人丑刂万禧 徐传友 |
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| 作者单位： | 1. 安徽理工大学,土木系,淮南,232001
2. 阜阳师范学院,数学系,阜阳,236041 |
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| 摘 要： | 证明了关于2t+1阶S te iner三连系的存在和构造方面的定理,提出了2t+1阶S te iner三连系构造的具体步骤,介绍了105个不同构的15阶K irkm an三连系构造的全过程,分析了2t+1阶S te iner三连系的计数问题.
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| 关 键 词： | 三连系 不同构 构造 阶 存在 |
| 文章编号： | 1004-4329（2006）02-0006-07 |
| 收稿时间： | 2006-01-19 |
| 修稿时间： | 2006-01-19 |
Nonisomorphic Kirkman Triple Systems of Order 2t+1 |
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| CHOU Wan-xi,XU Chuan-you.Nonisomorphic Kirkman Triple Systems of Order 2t+1[J].Journal of Fuyang Teachers College:Natural Science,2006,23(2):6-12. |
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| Authors: | CHOU Wan-xi XU Chuan-you |
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| Institution: | 1. Department of Civil Engineering, Anhui University of Science and Technology, Huainan Anhui 232001 ,China; 2. Department of Mathematics, Fuyang Teachers College, Fuyang 236041 ,China |
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| Abstract: | The theorem concerning both existence and constructicn of steiner triple systems of order 2t 1 is proved.The concrete steps of constructing steiner triple systems of order 2t 1 are proved.The entire construction procedure of 105 nonisomorphic kirkman triple systems of order 15 is presented.The enumeration of steiner triple systems of order 2t 1 is analyzed. |
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| Keywords: | nonisomorphic tripe systems order construction existence |
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