Elsevier

Discrete Applied Mathematics

Volume 154, Issue 14, 1 September 2006, Pages 1939-1946
Discrete Applied Mathematics

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

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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 v1(mod4).

MSC

Primary 05B05

Keywords

Whist tournament
3PDWh
3PDWh-frame

Cited by (0)

1

Research supported by National Natural Science Foundation of China under Grant No. 10471127, Zhejiang Provincial Natural Science Foundation of China under Grant No. R604001, and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry.