Existence of \(Z\)-cyclic triplewhist tournaments for a prime number of players

DOI10.1006/jcta.1999.3046zbMath0960.05016OpenAlexW2079952603MaRDI QIDQ1570761

Marco Buratti

Publication date: 17 May 2001

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

Full work available at URL: https://doi.org/10.1006/jcta.1999.3046

zbMATH Keywords

\(Z\)-cyclic triplewhist tournaments

Mathematics Subject Classification ID

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

Related Items (12)

Existence of (q, 7, 1) difference families with q a prime power ⋮ 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 ⋮ Existence of \(Z\)-cyclic 3PTWh\((p)\) for any prime \(p \equiv 1\pmod4\) ⋮ New \(\mathbb{Z}\)-cyclic triplewhist frames and triplewhist tournament designs ⋮ \(\mathbb{Z}\)-cyclic ordered triplewhist tournaments on \(p\) elements, where \(p\equiv 5\pmod 8\) ⋮ On completing three cyclically generated transversals to a Latin square ⋮ Combinatorial designs and the theorem of Weil on multiplicative character sums ⋮ Some difference matrix constructions and an almost completion for the existence of triplewhist tournaments TWh(\(v\)). ⋮ Some new triplewhist tournaments TWh(\(v\)).

Cites Work

• Existence of \((q,6,1)\) difference families with \(q\) a prime power
• On cyclically resolvable cyclic Steiner 2-designs
• New product theorems for \(Z\)-cyclic whist tournaments
• An existence theorem for cyclic triplewhist tournaments
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