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.
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.
出处
《阜阳师范学院学报(自然科学版)》
2006年第2期6-12,共7页
Journal of Fuyang Normal University(Natural Science)
关键词
三连系
不同构
构造
阶
存在
nonisomorphie
tripe systems
order
construction
existence