t2阶Steiner三连系的构造方法

为构造t²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t²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。

Method of Constructing Steiner Triple Systems of Order t2

In order to construct Steiner triple systems of order t^2，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.