Existence of directed triplewhist tournaments with the three person property 3PDTWh(v)

AbstractA directed triplewhist tournament on v players, briefly DTWh(v), is said to have the three person property if no two games in the tournament have three common players. We briefly denote such a design as a 3PDTWh(v). In this paper, we show that a 3PDTWh(v) exists whenever v>17 and v≡1(mod4) with few possible exceptions