P. J. Cameron,
P. J. (Queen Mary University of London) Cameron,
J. H. van Lint,
J. H. van (Technische Universiteit Eindhoven, The Netherlands) Lint
e.a.
Designs, Graphs, Codes and their Links
Gebonden Engels 1991 9780521413251Levertijd ongeveer 9 werkdagen
Gratis verzonden
Samenvatting
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.
Specificaties
ISBN13:9780521413251
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:252
Uitgever:Cambridge University Press
Serie:London Mathematical
Lezersrecensies
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Inhoudsopgave
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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