摘要
提出了n阶Steiner三连系的一种构造法。该法的思路是:n阶Steiner三连系的构造等价于将完全图Kn分离成n(n-1)/6个完全图K3。证明了关于Steiner三连系构造的命题。阐明了高阶Steine三连系构造的基本理论,介绍了117阶Steiner三连系构造的全过程。
A method of constructing Steiner triple systems of order-n is proposed. The concept of the proposed method is that the construction of Steiner triple systems of order-n is equivalent to the decomposition of a complete graph K_n into n(n-1)/6 complete sub-graphs K_3.The lemmas concerning construction of Steiner triple systems are proved. The basic theory of constructing Steiner triple systems is described. The entire procedure of constructing Steiner triple systems of order 117 is presented.
出处
《安徽理工大学学报（自然科学版）》
CAS
2004年第3期76-80,共5页
Journal of Anhui University of Science and Technology:Natural Science
