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Combinatorics of Symmetric Designs

ISBN-10: 0521818338

ISBN-13: 9780521818339

Edition: 2006

Authors: Mohan S. Shrikhande, Yury J. Ionin, Bela Bollobas, William Fulton, Anatole Katok

List price: $247.00
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Description:

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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Book details

List price: $247.00
Copyright year: 2006
Publisher: Cambridge University Press
Publication date: 5/25/2006
Binding: Hardcover
Pages: 534
Size: 6.00" wide x 8.75" long x 1.25" tall
Weight: 2.134
Language: English

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

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

Combinatorics of finite sets
Introduction to designs
Vector spaces over finite fields
Hadamard matrices
Resolvable designs
Symmetric designs and t-designs
Symmetric designs and regular graphs
Block intersection structure of designs
Difference sets
Balanced generalized weighing matrices
Decomposable symmetric designs
Subdesigns of symmetric designs
Non-embeddable quasi-residual designs
Ryser designs
Appendix
Bibliography
Index