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Schedules and 1-Factorisations

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A First Course in Discrete Mathematics

Part of the book series: Springer Undergraduate Mathematics Series ((SUMS))

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Abstract

This chapter deals with the construction of league schedules for sports competitions or, equivalently, experimental designs involving comparisons of pairs of varieties. The subject matter provides nice connections with latin squares and edge colourings of graphs, and also provides an introduction to the ideas of block designs and resolvability which will be studied further in the final chapter. So the chapter is an exposition of interrelations between apparently different combinatorial ideas.

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© 2002 Springer-Verlag London

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Anderson, I. (2002). Schedules and 1-Factorisations. In: A First Course in Discrete Mathematics. Springer Undergraduate Mathematics Series. Springer, London. https://doi.org/10.1007/978-0-85729-315-2_8

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  • DOI: https://doi.org/10.1007/978-0-85729-315-2_8

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-236-5

  • Online ISBN: 978-0-85729-315-2

  • eBook Packages: Springer Book Archive

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