New product theorems for \(Z\)-cyclic whist tournaments
type: Item
instance of: scholarly article
title: New product theorems for \(Z\)-cyclic whist tournaments
zbMATH Open document ID: 0935.05009
author: Ian Anderson
author: Norman J. Finizio
author: Philip A. Leonard
published in: Journal of Combinatorial Theory. Series A
publication date: 1999-12-20T00:00:00Z
review text: A whist tournament \(\text{Wh}(v)\) on \(v\) players is a \((v,4,3)\)-BIBD meeting additional conditions. An ordered block \((a,b,c,d)\) denotes a game in which the partner pair \(\{a,c\}\) opposes the partner pair \(\{b,d\}\). The whist conditions include that every player partners each other player exactly once, and opposes every other player exactly twice. The present note shows how existing product constructions for cyclic and 1-rotational block designs can be adapted to produce a highly effective method of deriving product theorems for whist tournaments.
reviewed by: Sanpei Kageyama
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 1356440
zbMATH Keywords: whist tournament
zbMATH Keywords: block designs
MaRDI profile type: Publication
full work available at URL: jcta.1999.2969
OpenAlex ID: W2001585418
cites work: Q4876947
cites work: Q4876928
cites work: Q4876990
cites work: Q4338936
cites work: Q4865136
cites work: Q4222135
cites work: \(G\)-invariantly resolvable Steiner 2-designs which are 1-rotational over \(G\)
cites work: Q4876948
cites work: Q4378180
cites work: Q4313198
cites work: Q4389772
cites work: Q4881926
cites work: Composition theorems for difference families and regular planes
cites work: A construction for resolvable designs and its generalizations
cites work: On a composition of cyclic 2-designs
cites work: Q4887955
DOI: 10.1006/JCTA.1999.2969
description: scientific article; zbMATH DE number 1356440