Some new \(\mathbb{Z}\)-cyclic whist tournament designs

DOI10.1016/J.DISC.2004.08.019zbMath1069.05005OpenAlexW2040195522MaRDI QIDQ1779482

Ian Anderson, Norman J. Finizio

Publication date: 1 June 2005

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2004.08.019

zbMATH Keywords

resolvable BIBDZ-cyclic frame

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (3)

Further combinatorial constructions for optimal frequency-hopping sequences ⋮ General frame constructions for \(\mathbb{Z}\)-cyclic triplewhist tournaments ⋮ THE EXISTENCE OF CYCLIC {\rm BIBD}(v,4,\lambda)- A SURVEY AND NEW RESULTS

Cites Work

• A new construction for \(Z\)-cyclic whist tournaments
• One frame and several new infinite families of \(Z\)-cyclic whist designs.
• New product theorems for \(Z\)-cyclic whist tournaments
• Directed-ordered whist tournaments and \((v,5,1)\) difference families: Existence results and some new classes of \(Z\)-cyclic solutions
• Some difference matrix constructions and an almost completion for the existence of triplewhist tournaments TWh(\(v\)).
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