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Combinatorics of Symmetric Designs
Yury J. Ionin
Mohan S. Shrikhande
出版
Cambridge University Press
, 2006-05-25
主題
Mathematics / Discrete Mathematics
Mathematics / Combinatorics
Language Arts & Disciplines / Library & Information Science / General
Technology & Engineering / Telecommunications
ISBN
1139449664
9781139449663
URL
http://books.google.com.hk/books?id=9o3bsvDaMOgC&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.