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

Abstract:

      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).