Combinatorial Designs and Tournaments
Series: Oxford Lecture Series in Mathematics and Its Applications; 6;
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Product details:
- Publisher OUP Oxford
- Date of Publication 10 April 1997
- Number of Volumes laminated boards
- ISBN 9780198500292
- Binding Hardback
- No. of pages248 pages
- Size 241x161x19 mm
- Weight 518 g
- Language English
- Illustrations line figures 0
Categories
Short description:
This book has two aims: first, to present some of the basic material on block designs and orthogonal Latin squares, emphasizing in particular methods of constructing cyclic examples by means of difference systems; and, secondly, to give an account of the construction of league tables, tournaments with various balance requirements, bridge tournaments (via balanced Room squares) and whist tournaments. It is clear, readable, and up to date.
This new book is a considerably revised and expanded version of Combinatorial designs: construction methods published by Ellis Horwood in 1990 and out of print for several years. It is not a second edition.
Long description:
This is an extensively revised version of the very successfulCombinatorial Designs: Construction Methods which was published in 1990 by Ellis Horwood and is now out of print. A new chapter on league schedules is now included, dealing with round robin tournaments, venue sequences, and carry over effects. Balanced tournament designs, double schedules, and bridge tournament designs are also covered, and there is some material on whist tournaments.
The presentation is clear and reable. Throughout, the historical development of the material is emphasized. There are plenty of examples and exercises giving detailed constructions, and a copious bibliography is provided. The author is internationally respected as an expositor, and this book provides an excellent text and reference book for researchers.
This book is a completely revised and updated version of the popular and successful Combinatorial designs: construction methods. It includes explanations throughout of the historical development of the study of tournaments as well as numerous exercises. The presentation is clear and readable, and the book provides material on the construction of tournament designs not readily available elsewhere.
Table of Contents:
List of abbreviations
Introduction to basics
Difference methods
Symmetric designs
Orthogonal Latin squares
Self-orthogonal Latin squares
Steiner systems
Kirkman triple systems
League schedules
Room squares and bridge tournaments
Balanced tournament designs
Whist tournaments
Bibliography
Indexes
