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Constructing tournament designs

Published online by Cambridge University Press:  01 August 2016

Ian Anderson
Ian Anderson*
Affiliation:
University of Glasgow, Glasgow G12 8QQ
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Extract

Suppose that an even number 2n of teams take part in a football league, and that each team is to play each other team once. Suppose also that the games are to be scheduled for 2n 1 days, each team playing one game on each day. How can a league schedule be produced? There are many ways of doing this, but one particularly simple method will be described.

Type
Research Article
Information
The Mathematical Gazette , Volume 73 , Issue 466 , December 1989 , pp. 284 - 292
Copyright
Copyright © The Mathematical Association 1989

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References

Further reading

Anderson, I., Combinatorial designs, Ellis Horwood, to appear (1990).Google Scholar
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Mullin, R.C. and Wallis, W.D., The existence of Room squares, Aequationes Math., 13, 1–7 (1975).Google Scholar
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de Werra, D., Scheduling in sports, Studies on graphs and discrete programming, North Holland, 381–395 (1981).Google Scholar