Existence of directed triplewhist tournaments with the three person property |
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| Authors: | RJR Abel FE Bennett Gennian Ge |
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| Institution: | aSchool of Mathematics and Statistics, University of New South Wales, N.S.W. 2052, Australia;bDepartment of Mathematics, Mount Saint Vincent University, Halifax, Nova Scotia B3M 2J6, Canada;cDepartment of Mathematics, Zhejiang University, Hangzhou 310027, Zhejiang, PR China |
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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 v>17 and  with few possible exceptions. |
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| Keywords: | Whist tournament 3PDTWh 3PDTWh-frame |
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