Combinatorics of Symmetric Designs

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Cambridge University Press, May 25, 2006 - Mathematics
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The aim of this book is to provide a unified exposition of the theory of symmetric designs with emphasis on recent developments. The authors cover the combinatorial aspects of the theory giving particular attention to the construction of symmetric designs and related objects. The last five chapters of the book are devoted to balanced generalized weighing matrices, decomposable symmetric designs, subdesigns of symmetric designs, non-embeddable quasi-residual designs, and Ryser designs. Most results in these chapters have never previously appeared in book form. The book concludes with a comprehensive bibliography of over 400 entries. Researchers in all areas of combinatorial designs, including coding theory and finite geometries, will find much of interest here. Detailed proofs and a large number of exercises make this book suitable as a text for an advanced course in combinatorial designs.
 

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Contents

Section 1
5
Section 2
14
Section 3
15
Section 4
59
Section 5
85
Section 6
95
Section 7
99
Section 8
113
Section 18
299
Section 19
302
Section 20
321
Section 21
323
Section 22
327
Section 23
351
Section 24
354
Section 25
365

Section 9
147
Section 10
154
Section 11
186
Section 12
212
Section 13
213
Section 14
247
Section 15
259
Section 16
280
Section 17
289
Section 26
368
Section 27
387
Section 28
388
Section 29
407
Section 30
429
Section 31
443
Section 32
447
Section 33
462

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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.