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Designs, Graphs, Codes and their Links : London Mathematical Society Student Texts - P. J. Cameron

Designs, Graphs, Codes and their Links

London Mathematical Society Student Texts

Paperback

Published: 18th November 1991
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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.

Contentsp. v
Prefacep. vii
Notation and terminologyp. ix
Design theoryp. 1
Strongly regular graphsp. 29
Graphs with least eigenvalue-2p. 49
Regular two-graphsp. 57
Quasi-symmetric designsp. 69
A property of the number sixp. 81
Partial geometriesp. 91
Graphs with no trianglesp. 105
Codesp. 117
Cyclic codesp. 125
The Golay codesp. 131
Reed-Muller and Kerdock codesp. 139
Self-orthogonal codes and projective planesp. 153
Quadratic residue codes and the Assmus-Mattson Theoremp. 161
Symmetry codes over F[subscript 3]p. 175
Nearly perfect binary codes and uniformly packed codesp. 181
Association schemesp. 197
Referencesp. 215
Indexp. 227
List of Authorsp. 237
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780521423854
ISBN-10: 0521423856
Series: London Mathematical Society Student Texts
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 252
Published: 18th November 1991
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 23.62 x 15.82  x 2.01
Weight (kg): 0.5