Advances in Z -cyclic whist and triplewhist tournaments

Adele Johanna Josiger Merritt, University of Rhode Island

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

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