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Combinatorics of Symmetric Designs

$180.00 (C)

Part of New Mathematical Monographs

Authors:
Yury J. Ionin, Central Michigan University
Mohan S. Shrikhande, Central Michigan University

Date Published: May 2006
availability: Available
format: Hardback
isbn: 9780521818339

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$ 180.00 (C)
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About the Authors

Providing 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
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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

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Product details
- Date Published: May 2006
- format: Hardback
- isbn: 9780521818339
- length: 534 pages
- dimensions: 235 x 159 x 30 mm
- weight: 0.982kg
- contains: 200 exercises
- availability: 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.
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Authors
Yury J. Ionin, Central Michigan University
Yury J. Ionin is a Professor of Mathematics at Central Michigan University, USA.
Mohan S. Shrikhande, Central Michigan University
Mohan S. Shrikhande is a Professor of Mathematics at Central.