P. J. Cameron

Graph Theory, Coding Theory and Block Designs (eBook, PDF)

• Format: PDF

Produktbeschreibung

These are notes deriving from lecture courses given by the authors in 1973 at Westfield College, London. The lectures described the connection between the theory of t-designs on the one hand, and graph theory on the other. A feature of this book is the discussion of then-recent construction of t-designs from codes. Topics from a wide range of finite combinatorics are covered and the book will interest all scholars of combinatorial theory.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 18. September 1975
• Englisch
• ISBN-13: 9781107107489
• Artikelnr.: 39031440

Inhaltsangabe

Introduction
1. A brief introduction to design theory
2. Strongly regular graphs
3, Quasi-symmetric designs
4. Strongly regular graphs with no triangles
5. Polarities of designs
6. Extension of graphs
7. Codes
8. Cyclic codes
9. Threshold decoding
10. Reed-Muller codes
11. Self-orthogonal codes and designs
12. Quadratic residue codes
13. Symmetry codes over GF(3)
14. Nearly perfect binary codes and uniformly packed codes
15. Association schemes
References
Index.