AAM  >> Vol. 4 No. 4 (November 2015)

    三个组的G-设计
    G-Design with Three Groups

  • 全文下载: PDF(324KB) HTML   XML   PP.365-368   DOI: 10.12677/AAM.2015.44045  
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作者:  

朱莉,王建:南通职业大学,江苏 南通

关键词:
t-设计四元系烛台型设计G-设计t-Designs Quadruple Systems Candelabra Systems G-Design

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.

文章引用:
朱莉, 王建. 三个组的G-设计[J]. 应用数学进展, 2015, 4(4): 365-368. http://dx.doi.org/10.12677/AAM.2015.44045

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