Advances in Z-cyclic whist and triplewhist tournaments
Abstract
While the existence of whist tournaments on 4n and 4 n + 1 players is known for all n ≥ 1, the existence, and subsequently the construction, for Z-cyclic whist and Z-cyclic triplewhist tournaments on 4n and 4n + 1 players are not known for all n ≥ 1. In this study, existence theorems and constructions will be sought for (1) Z-cyclic triplewhist tournaments on 3qpn players where q∈7,11 , p is a prime less than 2000, p ≡ 1 (mod 4) and n is a positive integer. (2) Z-cyclic triplewhist tournaments on 3qp1p 2 and 3qp1p2 p3 players where q∈7,11 and pi∈5,13,17 for i = 1, 2, 3. (3) Z-cyclic whist tournaments on 33p1 + 1 and 33 p1p2 + 1 players where pi is a prime, pi ≡ 1 (mod 4) and gcd(18, pi − 1) = 18 for i = 1, 2.^
Subject Area
Mathematics
Recommended Citation
Adele Johanna Josiger Merritt,
"Advances in Z-cyclic whist and triplewhist tournaments"
(1999).
Dissertations and Master's Theses (Campus Access).
Paper AAI9945216.
http://digitalcommons.uri.edu/dissertations/AAI9945216