Cyclic whist tournaments
نویسندگان
چکیده
منابع مشابه
Z-cyclic whist tournaments for q players
Expanding upon a comment by P. A. Leonard (1996, Utilitas Math. 49, 223-232), we exhibit Z-cyclic patterned-starter based whist tournaments for q2 players, where q = 4k+3 is prime; the cases 3 < q < 200 are included herein, with data for 200 < q < 3,500 available electronically.
متن کاملA new construction for Z-cyclic whist tournaments
In this paper, a new construction for Z-cyclic whist tournaments is given. The known existence results for both Z-cyclic whist tournaments and Z-cyclic triplewhist tournaments are extended. ? 2003 Elsevier B.V. All rights reserved.
متن کاملClassification of whist tournaments with up to 12 players
A v-player whist tournament Wh(v) is a schedule of games, each involving two players opposing two others. Every round, the players are partitioned into games, with at most one player left over. Each player partners every other player exactly once and opposes every other player exactly twice during the tournament. Directed whist tournaments DWh(v), and triplewhist tournaments TWh(v), are Wh(v) w...
متن کاملThe Near Resolvable 2-(13, 4, 3) Designs and Thirteen-Player Whist Tournaments
A v-player whist tournament is a schedule of games, where in each round the v players are partitioned into games of four players each with at most one player left over. In each game two of the players play as partners against the other two. All pairs of players must play in the same game exactly three times during the tournament; of those three times, they are to play as partners exactly once. ...
متن کاملAn existence theorem for cyclic triplewhist tournaments
We show that a Z-cyclic triplewhist tournament TWh(v) exists whenever v =p] . . . . p~ where the primes p~ are -5(mod8) , p~>29. The method of construction uses the existence of a primitive root ~o of each such Pi (~61) such that ~o2+eo+ 1 are both squares (modpi).
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1994
ISSN: 0012-365X
DOI: 10.1016/0012-365x(94)90138-4