Existence of directedwhist tournaments with the three person property 3PDWh(v)

Abstract

A directedwhist tournament DWh(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 3PDWh(v). In this paper, we show that a 3PDWh(v) exists whenever v > 5 and v ≡ 1 (mod 4).