Combinatorics Of Symmetric Designs


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Combinatorics of Symmetric Designs


Combinatorics of Symmetric Designs

Author: Yury J. Ionin

language: en

Publisher: Cambridge University Press

Release Date: 2006-05-25


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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.

Combinatorial Designs


Combinatorial Designs

Author: Douglas R. Stinson

language: en

Publisher: Springer Science & Business Media

Release Date: 2004


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"Combinatorial Designs aims to thoroughly develop the most important techniques used for constructing combinatorial designs. The book provides a detailed and clear exposition of the classical core of combinatorial designs, treating the material progressively from simple to more complex. Readers will master various construction techniques, both classic and modern, and will be well prepared to build a vast array of combinatorial designs. The main prerequisites are familiarity with basic abstract algebra, linear algebra and some number theory fundamentals."--BOOK JACKET.

Quasi-symmetric Designs


Quasi-symmetric Designs

Author: Mohan S. Shrikhande

language: en

Publisher: Cambridge University Press

Release Date: 1991-11-29


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Design theory is a branch of combinatorics with applications in number theory, coding theory and geometry. In this book the authors discuss the generalization of results and applications to quasi-symmetric designs. The coverage is comprehensive and will be useful for researchers and graduate students. An attractive feature is the discussion of unsolved problems.