Combinatorics of Symmetric Designs
Combinatorics of Symmetric Designs
$180.00
USDProviding a unified exposition of the theory of symmetric designs with emphasis on recent developments, this volume covers the combinatorial aspects of the theory, giving particular attention to the construction of symmetric designs and related objects. The last five chapters are devoted to balanced generalized weighing matrices, decomposable symmetric designs, subdesigns of symmetric designs, non-embeddable quasi-residual designs, and Ryser designs. The book concludes with a comprehensive bibliography of over 400 entries. Detailed proofs and a large number of exercises make it suitable as a text for an advanced course in combinatorial designs.
- The book contains many recent results and developments that have never appeared in book form, and an extensive bibliography contains more than 400 cited entries
- Self-contained and accessible to researchers and graduate students alike
- As there are a large number of exercises, and detailed proofs of important results, it can serve as a text for a graduate course in Combinatorial Designs
Reviews & endorsements
"I said that the book is more than a research monograph: in many places, it is fun to read! Unlike most research monographs, however, every chapter ends with exercises ranging from the routine to the very challenging, and every chapter ends with notes on sources, history, and references to the chapter's topics. The exercises and notes are among the most attractive aspect of the book."
Ezra Brown MAA Reviews
"The strengths of this book are the many combinatorial connections, the comprehensive and carefully described constructions, and the extensive list of references."
Sylvia A. Hobart, Mathematical Reviews
Product details
May 2006Hardback
9780521818339
534 pages
235 × 159 × 30 mm
0.982kg
200 exercises
Available
Table of Contents
- 1. Combinatorics of finite sets
- 2. Introduction to designs
- 3. Vector spaces over finite fields
- 4. Hadamard matrices
- 5. Resolvable designs
- 6. Symmetric designs and t-designs
- 7. Symmetric designs and regular graphs
- 8. Block intersection structure of designs
- 9. Difference sets
- 10. Balanced generalized weighing matrices
- 11. Decomposable symmetric designs
- 12. Subdesigns of symmetric designs
- 13. Non-embeddable quasi-residual designs
- 14. Ryser designs
- Appendix
- Bibliography
- Index.
