Combinatorial Designs and Tournaments
Seiten
1997
Oxford University Press (Verlag)
978-0-19-850029-2 (ISBN)
Oxford University Press (Verlag)
978-0-19-850029-2 (ISBN)
This text presents 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. It also offers an account of the construction of league tables and tournaments.
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 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.
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
| Erscheint lt. Verlag | 10.4.1997 |
|---|---|
| Reihe/Serie | Oxford Lecture Series in Mathematics and Its Applications ; 6 |
| Zusatzinfo | line figures |
| Verlagsort | Oxford |
| Sprache | englisch |
| Maße | 161 x 241 mm |
| Gewicht | 518 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Graphentheorie |
| ISBN-10 | 0-19-850029-7 / 0198500297 |
| ISBN-13 | 978-0-19-850029-2 / 9780198500292 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Numbers and Counting, Groups, Graphs, Orders and Lattices
Buch | Softcover (2023)
De Gruyter (Verlag)
CHF 89,95
