标题:
三个组的G-设计G-Design with Three Groups
作者:
朱莉, 王建
关键字:
t-设计, 四元系, 烛台型设计, G-设计t-Designs, Quadruple Systems, Candelabra Systems, G-Design
期刊名称:
《Advances in Applied Mathematics》, Vol.4 No.4, 2015-11-26
摘要:
G-设计是可分组设计(GD)的推广，同时又是烛台型设计(CQS)的特例，它在四元系设计中起到重要作用。文章应用Stern和Lenz关于图因子分解的结论，通过直接构造法，得到具有三个组的G-设计存在的充分必要条件：。
As a special example of the candelabra systems (CQS), G-design is the extension of group divisible designs (GD), which plays an important role in quadruple systems’ construction. With application of Stern and Lenz’s result on one-factorization of graphs, by direct construction, it is given that the sufficient and necessary condition for the existence of the G-design with three groups is that.