Further results on nearly Kirkman triple systems with subsystems Original Research Article

In this paper we further discuss the embedding problem for nearly Kirkman triple systems and get the result that: (1) For u≡v≡0 (mod 6), v⩾78, and u⩾3.5v, there exists an NKTS(u) containing a sub-NKTS(v). (2) For v=18,24,30,36,42,48,54,60,66 or 72, there exists an NKTS(u) containing a sub-NKTS(v) if and only if u≡0 (mod 6) and u⩾3v.