Combinatorial designs and tournaments
著者
書誌事項
Combinatorial designs and tournaments
（Oxford lecture series in mathematics and its applications, 6）
Clarendon Press , Oxford University Press, c1997
- : hc
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注記
"This book incorporates and expands on Combinatorial designs : construction methods published by Ellis Horwood in 1990."--T.p. verso
Includes bibliographical references (p. [227]-232) and index
内容説明・目次
内容説明
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.
目次
- List of abbreviations
- 1. Introduction to basics
- 2. Difference methods
- 3. Symmetric designs
- 4. Orthogonal Latin squares
- 5. Self-orthogonal Latin squares
- 6. Steiner systems
- 7. Kirkman triple systems
- 8. League schedules
- 9. Room squares and bridge tournaments
- 10. Balanced tournament designs
- 11. Whist tournaments
- Bibliography
- Indexes
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