Designs, graphs, codes and their links
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Bibliographic Information
Designs, graphs, codes and their links
Cambridge University Press, 1991 , [Produced by Amazon] [manufacture]
- : pbk
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[Reprint]. Originally published: Cambridge : Cambridge University Press , 1991
"Printed in Japan"--Flyleaf
"First published 1991, reprinted 1996"--T.p.verso
"Transferred to digital reprinting 2000"--T.p. verso
Original issued in series: London Mathematical Society student texts, 22
Includes bibliographical references (p. [215]-226) and index
Description and Table of Contents
Description
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.
Table of Contents
- 1. Design theory
- 2. Strongly regular graphs
- 3. Graphs with least eigenvalue -2
- 4. Regular two-graphs
- 5. Quasi-symmetric designs
- 6. A property of the number 6
- 7. Partial geometries
- 8. Graphs with no triangles
- 9. Codes
- 10. Cyclic codes
- 11. The Golay codes
- 12. Reed-Muller codes
- 13. Self-dual codes and projective plane
- 14. Quadratic residue codes and the Assmus-Mattson theorem
- 15. Symmetry codes over F3
- 16. Nearly perfect binary codes and uniformly packed codes
- 17. Association schemes.
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