Combinatorics of Symmetric Designs

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Cambridge University Press, May 25, 2006 - Language Arts & Disciplines - 520 pages
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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.
 

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Contents

Exercises ll
11
Exercises
53
Hadamard matrices
114
Resolvable designs
154
Symmetric designs anddesigns
186
Symmetric designs and regular graphs
212
Block intersection structure of designs
247
Difference sets
289
Decomposable symmetric designs
368
Subdesigns of symmetric designs
407
Nonembeddable quasiresidual designs
429
Ryser designs
447
Appendix
488
References
495
Index
515
Copyright

Balanced generalized weighing matrices
323

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About the author (2006)

Yury J. Ionin is a Professor of Mathematics at Central Michigan University, USA.

Mohan S. Shrikhande is a Professor of Mathematics at Central.