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

Authors:
R. J. R. Abel;F. E. Bennett;Gennian Ge
Affiliations:
School of Mathematics and Statistics, University of New South Wales, N.S.W. 2052, Australia;Department of Mathematics, Mount Saint Vincent University, Halifax, Nova Scotia B3M 2J6, Canada;Department of Mathematics, Zhejiang University, Hangzhou 310027, Zhejiang, PR China
Venue:
Discrete Applied Mathematics
Year:
2008

Citing 11
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Abstract

A 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 v17 and v=1(mod4) with few possible exceptions.