New product theorems for \(Z\)-cyclic whist tournaments

DOI10.1006/jcta.1999.2969zbMath0935.05009OpenAlexW2001585418MaRDI QIDQ1806220

Philip A. Leonard, Ian Anderson, Norman J. Finizio

Publication date: 20 December 1999

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

Full work available at URL: https://doi.org/10.1006/jcta.1999.2969

zbMATH Keywords

block designswhist tournament

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (18)

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 ⋮ Partitionable sets, almost partitionable sets, and their applications ⋮ A new construction for \(Z\)-cyclic whist tournaments ⋮ One frame and several new infinite families of \(Z\)-cyclic whist designs. ⋮ \(Z\)-cyclic generalized whist frames and \(Z\)-cyclic generalized whist tournaments. ⋮ Some new Z-cyclic whist tournaments ⋮ The first families of highly symmetric Kirkman triple systems whose orders fill a congruence class ⋮ Some New Results on ‐Cyclic Patterned Starter Whist Tournaments and Related Frames ⋮ Existence of \(Z\)-cyclic 3PTWh\((p)\) for any prime \(p \equiv 1\pmod4\) ⋮ Necessary conditions and frame constructions for \(\mathbb Z\)-cyclic patterned starter whist tournaments ⋮ New \(\mathbb{Z}\)-cyclic triplewhist frames and triplewhist tournament designs ⋮ Some new \(\mathbb{Z}\)-cyclic whist tournament designs ⋮ Existence of \(Z\)-cyclic triplewhist tournaments for a prime number of players ⋮ Some difference matrix constructions and an almost completion for the existence of triplewhist tournaments TWh(\(v\)). ⋮ On (\(g\), 4; 1)-difference matrices ⋮ Some new triplewhist tournaments TWh(\(v\)).

Cites Work

• On a composition of cyclic 2-designs
• Composition theorems for difference families and regular planes
• \(G\)-invariantly resolvable Steiner 2-designs which are 1-rotational over \(G\)
• A construction for resolvable designs and its generalizations
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