Enumerations of maximum partial triple systems on 16 and 17 points

Fatih Demirkale, Diane Donovan, Mike Grannell

For $v\equiv 1$ or 3 (mod 6), maximum partial triple systems on $v$ points are Steiner triple systems, STS($v$)s. The 80 non-isomorphic STS(15)s were first enumerated around 100 ye…