Combinatorics of symmetric designs / Yury J. Ionin, Mohan S. Shrikhande.

Format:

Book

Author/Creator:

Ionin, Yury J., author.

Shrikhande, Mohan S., 1945- author.

Series:

New mathematical monographs ; 5.

New mathematical monographs ; 5

Language:

English

Subjects (All):

Combinatorial designs and configurations.

Physical Description:

1 online resource (xiii, 520 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Cambridge : Cambridge University Press, 2006.

Language Note:

English

Summary:

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.

Contents:

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.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references (p. 495-514) and index.

ISBN:

1-107-14510-4

1-280-48026-2

9786610480265

0-511-22027-8

0-511-16168-9

0-511-16038-0

0-511-31312-8

0-511-54299-2

0-511-16095-X

OCLC:

173610016

Publisher Number:

9780521818339