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Quasi-symmetric Designs

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Paperback | 30 March 1992

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Paperback
244 Pages

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23.0 x 15.3 x 1.2

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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

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You Can Find This Book In

Non-Fiction Mathematics Combinatorics & Graph Theory Reference, Information & Interdisciplinary Subjects Research & Information Information theory Geometry Probability & Statistics

Introduction
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
References
Table of Contents provided by Publisher. All Rights Reserved.

Quasi-symmetric Designs

At a Glance

Paperback

Industry Reviews

Shipping

How to return your order

Defective items

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