Some new triplewhist tournaments TWh(\(v\)).

DOI10.1016/S0097-3165(02)00018-3zbMath1061.05018OpenAlexW2003770393MaRDI QIDQ1865417

Gennian Ge, Clement Wing Hong Lam

Publication date: 26 March 2003

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0097-3165(02)00018-3

zbMATH Keywords

triplewhist tournament\(Z\)-cyclic tournamentTWh-frame

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30)

Related Items (13)

Directed-ordered whist tournaments and \((v,5,1)\) difference families: Existence results and some new classes of \(Z\)-cyclic solutions ⋮ Existence of \(Z\)-cyclic 3PDTWh(\(p\)) for prime \(p \equiv 1\pmod4\) ⋮ General frame constructions for \(\mathbb{Z}\)-cyclic triplewhist tournaments ⋮ A new construction for \(Z\)-cyclic whist tournaments ⋮ One frame and several new infinite families of \(Z\)-cyclic whist designs. ⋮ Triplewhist tournaments with the three person property ⋮ Existence of directed triplewhist tournaments with the three person property \(3PDTWh(v)\) ⋮ The near resolvable \(2\)-\((13,4,3)\) designs and thirteen-player whist tournaments ⋮ Existence of \(Z\)-cyclic 3PTWh\((p)\) for any prime \(p \equiv 1\pmod4\) ⋮ New \(\mathbb{Z}\)-cyclic triplewhist frames and triplewhist tournament designs ⋮ Ordered tournaments and ordered triplewhist tournaments with the three person property ⋮ Some difference matrix constructions and an almost completion for the existence of triplewhist tournaments TWh(\(v\)). ⋮ On (\(g\), 4; 1)-difference matrices

Cites Work

• Classification of whist tournaments with up to 12 players
• Existence of \(Z\)-cyclic triplewhist tournaments for a prime number of players
• New product theorems for \(Z\)-cyclic whist tournaments
• A complete classification of (12,4,3)-RBIBDs
• A representation theorem and Z‐cyclic whist tournaments
• Perfect Cayley designs as generalizations of perfect Mendelsohn designs
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