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

Authors:
F. E. Bennett;Gennian Ge
Affiliations:
Department of Mathematics, Mount Saint Vincent University, Halifax, Nova Scotia, Canada;Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang, PR China
Venue:
Discrete Applied Mathematics
Year:
2006

Citing 5
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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).