Combinatorics of Symmetric Designs

Combinatorics of Symmetric Designs

by Yury J. Ionin, Mohan S. Shrikhande
     
 

ISBN-10: 0521818338

ISBN-13: 9780521818339

Pub. Date: 04/30/2006

Publisher: Cambridge University Press

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,

Overview

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.

Product Details

ISBN-13:
9780521818339
Publisher:
Cambridge University Press
Publication date:
04/30/2006
Series:
New Mathematical Monographs Series, #5
Edition description:
New Edition
Pages:
534
Product dimensions:
5.98(w) x 8.98(h) x 1.18(d)

Table of Contents

1. Combinatorics of finite sets; 2. Introduction to designs; 3. Vector spaces over finite fields; 4. Hadamard matrices; 5. Resolvable designs; 6. Symmetric designs and t-designs; 7. Symmetric designs and regular graphs; 8. Block intersection structure of designs; 9. Difference sets; 10. Balanced generalized weighing matrices; 11. Decomposable symmetric designs; 12. Subdesigns of symmetric designs; 13. Non-embeddable quasi-residual designs; 14. Ryser designs; Appendix; Bibliography; Index.

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >