| t^2阶Steiner三连系的构造方法 |
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| 引用本文： | 姜玉秋.t^2阶Steiner三连系的构造方法[J].长春邮电学院学报,2010(3):326-328. |
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| 作者姓名： | 姜玉秋 |
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| 作者单位： | 吉林师范大学数学学院,吉林四平136000 |
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| 摘 要： | 为构造t^2阶Steiner三连系,阐明了v阶Steiner三连系的基本思路,给出了任意完全图的边矩阵的定义,利用边矩阵的子矩阵划分给出了t^2阶Steiner三连系构造的一种方法,并叙述了9阶Steiner三连系构造的全过程。实践表明,利用边矩阵的子矩阵划分构造t2阶Steiner三连的思路是正确的,值得推广,边矩阵已成为图论研究的新工具。
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| 关 键 词： | Steiner三连系 构造 完全图 边矩阵 阶 |
Method of Constructing Steiner Triple Systems of Order t^2 |
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| JIANG Yu-qiu.Method of Constructing Steiner Triple Systems of Order t^2[J].Journal of Changchun Post and Telecommunication Institute,2010(3):326-328. |
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| Authors: | JIANG Yu-qiu |
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| Affiliation: | JIANG Yu-qiu(College of Mathematics,Jilin Nomal University,Siping 136000,China) |
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| Abstract: | In order to construct Steiner triple systems of order t2,the basic concept of constructing Steiner trlple systems of orbitrary order is described,and the definition of edges matrix of a complete graph is given.A method of constructing Steiner triple systems of order t^2 is proposed.The entire procedure of constructing Kirkman triple systems of order 9 is presented.Practice shows that the concept of constructing Steiner triple systems of order t^2 is correct,it is worth to promote,edges mctrix as a new tool in graph theory study. |
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| Keywords: | steiner triple systems construction complete graph edges matrix order |
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