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More cyclic triplewhist tournaments
Author(s) -
Anderson I.,
Finizio N. J.
Publication year - 1995
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.3180030109
Subject(s) - tournament , mathematics , combinatorics , prime (order theory) , existential quantification , mod , discrete mathematics
We extend the set of values of n for which it is known that a Z‐cyclic triple whist tournament for 4 n players exists by proving that if there exists such a tournament for q + 1 players, where q ≡ 3 (mod 4) is prime, then there exists such a tournament for qp a1 1 … p a n n + 1 players, whenever the p i are primes ≡ 5 (mod 8). © 1995 John Wiley & Sons, Inc.