Combinatorics of Symmetric Designs

Combinatorics of Symmetric Designs book cover

Combinatorics of Symmetric Designs

Author(s): Yury J. Ionin (Author), Mohan S. Shrikhande (Author)

  • Publisher: Cambridge University Press
  • Publication Date: May 29, 2006
  • Edition: 1st
  • Language: English
  • Print length: 534 pages
  • ISBN-10: 0521818338
  • ISBN-13: 9780521818339

Book 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.

Editorial Reviews

Review

“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

Book Description

A unified and comprehensive exposition of the theory of symmetric designs with emphasis on recent developments.

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