Combinatorial Designs and Tournaments

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Overview

The mathematics of tournament design are surprisingly subtle, and this book, an extensively revised version of Ellis Horwood's popular Combinatorial Designs: Construction Methods, provides a thorough introduction. It includes a new chapter on league schedules, which discusses round robin tournaments, venue sequences, and carry-over effects. It also discusses balanced tournament designs, double schedules, and bridge and whist tournament design. Readable and authoritative, the book emphasizes throughout the historical development of the material and includes numerous examples and exercises giving detailed constructions.

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Product Details

Meet the Author

University of Glasgow
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Table of Contents

List of abbreviations
1 Introduction to basics 1
2 Difference methods 39
3 Symmetric designs 62
4 Orthogonal Latin squares 83
5 Self-orthogonal Latin squares 108
6 Steiner systems 125
7 Kirkman triple systems 148
8 League schedules 160
9 Room squares and bridge tournaments 172
10 Balanced tournament designs 195
11 Whist tournaments 209
Bibliography 227
Index of ([nu, kappa, lambda]) BIBDs explicitly constructed 233
Index 235
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