简单自反DTS(ν,λ)的存在谱

The Spectrum of Simple Self-Converse DTS(ν,λ)

中文关键词:  可迁三元组  Directed三元系  简单设计  λZ^*_ν的分拆

英文关键词:transitive triple  simple design  partition  difference triple.

中文摘要:

      一个Directed三元系DTS(ν,λ)=(X,B)是自反的,如果它与它的逆(X,B^-1)同构,其中B^-1={(z,y,x);(x,y,z)∈B}.继已给出SCDTS(ν,λ)的存在谱之后,又给出简单SCDTS(ν,λ)的存在谱.

英文摘要:

      A directed triple system DTS(ν,λ) = (X,B) is called self-converse if it and its converse (X,B^-1) are isomorphic, where B^-1= {(z,y,x); (x,y,z)∈B}. In this paper, the existence spectrum of simple self-converse DTS(ν,λ) is given, which is λν;(ν-1)≡0 (mod 3),λ≤3(ν-2) and (ν,λ)≠(6,l).