Designs, Graphs, Codes and their Links - P. J. Cameron, J. H. van Lint

Designs, Graphs, Codes and their Links

Buch | Hardcover
252 Seiten
1991
Cambridge University Press (Verlag)
978-0-521-41325-1 (ISBN)
153,35 inkl. MwSt
Although graph theory, design theory and coding theory has their origins in various areas of applied mathematics, today they are to be found under the umbrella of discrete mathematics. In book the authors have considered the many and varied connections between the theories.
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.

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.

Erscheint lt. Verlag 19.9.1991
Reihe/Serie London Mathematical Society Student Texts
Zusatzinfo 10 Line drawings, unspecified
Verlagsort Cambridge
Sprache englisch
Maße 157 x 236 mm
Gewicht 506 g
Themenwelt Mathematik / Informatik Mathematik Graphentheorie
ISBN-10 0-521-41325-7 / 0521413257
ISBN-13 978-0-521-41325-1 / 9780521413251
Zustand Neuware
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