Graphs, Codes and Designs
Graphs, Codes and Designs
P. J. Cameron
J. H. van Lint
J. H. van Lint
March 2011
Adobe eBook Reader
9780511891953
$51.99
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This book is concerned with the relations between graphs, error-correcting codes and designs, in particular how techniques of graph theory and coding theory can give information about designs. A major revision and expansion of a previous volume in this series, this account includes many examples and new results as well as improved treatments of older material. So that non-specialists will find the treatment accessible the authors have included short introductions to the three main topics. This book will be welcomed by graduate students and research mathematicians and be valuable for advanced courses in finite combinatorics.
Product details
March 2011Adobe eBook Reader
9780511891953
0 pages
0kg
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- 1. A brief introduction to design theory
- 2. Strongly regular graphs
- 3. Quasi-symmetric designs
- 4. Partial geometries
- 5. Strongly regular graphs with no triangles
- 6. Polarities of designs
- 7. Extensions of graphs
- 8. 1-factorisations of K6
- 9. Codes
- 10. Cyclic codes
- 11. Threshold decoding
- 12. Finite geometries and codes
- 13. Self-orthogonal codes, designs and projective planes
- 14. Quadratic residue codes
- 15. Symmetry codes over GF(3)
- 16. Nearly perfect binary codes and uniformly packed codes
- 17. Association schemes.
