Designs, Graphs, Codes and their Links : London Mathematical Society Student Texts - No Information Available

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Designs, Graphs, Codes and their Links

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Hardcover | 18 November 1991

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Hardcover
252 Pages

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22.86 x 15.24 x 1.75

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Although graph theory, design theory, and coding theory had their origins in various areas of applied mathematics, today they are to be found under the umbrella of discrete mathematics. Here the authors have considerably reworked and expanded their earlier successful books on graphs, codes and designs, into an invaluable textbook. They do not seek to consider each of these three topics individually, but rather to stress the many and varied connections between them. The discrete mathematics needed is developed in the text, making this book accessible to any student with a background of undergraduate algebra. Many exercises and useful hints are included througout, and a large number of references are given.

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Contents	p. v
Preface	p. vii
Notation and terminology	p. ix
Design theory	p. 1
Strongly regular graphs	p. 29
Graphs with least eigenvalue-2	p. 49
Regular two-graphs	p. 57
Quasi-symmetric designs	p. 69
A property of the number six	p. 81
Partial geometries	p. 91
Graphs with no triangles	p. 105
Codes	p. 117
Cyclic codes	p. 125
The Golay codes	p. 131
Reed-Muller and Kerdock codes	p. 139
Self-orthogonal codes and projective planes	p. 153
Quadratic residue codes and the Assmus-Mattson Theorem	p. 161
Symmetry codes over F[subscript 3]	p. 175
Nearly perfect binary codes and uniformly packed codes	p. 181
Association schemes	p. 197
References	p. 215
Index	p. 227
List of Authors	p. 237
Table of Contents provided by Syndetics. All Rights Reserved.

Designs, Graphs, Codes and their Links

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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