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Quasi-symmetric Designs : London Mathematical Society Lecture Notes - Mohan S. Shrikhande

Quasi-symmetric Designs

London Mathematical Society Lecture Notes

Paperback Published: 30th March 1992
ISBN: 9780521414074
Number Of Pages: 244

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This is the first exposition of the theory of quasi-symmetric designs, that is, combinatorial designs with at most two block intersection numbers. The authors aim to bring out the interaction among designs, finite geometries, and strongly regular graphs. The book starts with basic, classical material on designs and strongly regular graphs and continues with a discussion of some important results on quasi-symmetric designs. The later chapters include a combinatorial construction of the Witt designs from the projective plane of order four, recent results dealing with a structural study of designs resulting from Cameron's classification theory on extensions of symmetric designs, and results on the classification problem of quasi-symmetric designs. The final chapter presents connections to coding theory.

Industry Reviews

"...researchers in design theory should find this monograph to be a valuable resource." A.R. Calderbank, Bulletin of the American Mathematical Society "The authors have done a thorough job of surveying the literature up to the time they wrote the book." Sylvia A. Hobart, Mathematical Reviews

Basic results from design theory
Strongly regular graphs and partial geometries
Basic results on quasi-symmetric designs
Some configurations related to strongly regular graphs and quasi-symmetric designs
Strongly regular graphs with strongly regular decompositions
The Witt designs
Extensions of symmetric designs
Quasi-symmetric 2-designs
Towards a classifications of quasi-symmetric 3-designs
Codes and quasi-symmetric designs
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521414074
ISBN-10: 0521414075
Series: London Mathematical Society Lecture Notes
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 244
Published: 30th March 1992
Country of Publication: GB
Dimensions (cm): 22.94 x 15.37  x 1.3
Weight (kg): 0.35

Earn 108 Qantas Points
on this Book