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Designs, Graphs, Codes and their Links

Designs, Graphs, Codes and their Links


Part of London Mathematical Society Student Texts

  • Date Published: September 1991
  • availability: Available
  • format: Paperback
  • isbn: 9780521423854

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About the Authors
  • 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.

    • A really significant revision of a LMS Lecture Notes classic
    • Its previous two 'editions' have sold 3500+ copies Graphs Codes & Design's (1980) 1600 sales Graph Theory, Coding Theory & Block Designs (1975) 1900 sales
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    Product details

    • Date Published: September 1991
    • format: Paperback
    • isbn: 9780521423854
    • length: 252 pages
    • dimensions: 236 x 158 x 20 mm
    • weight: 0.38kg
    • contains: 10 b/w illus.
    • availability: Available
  • 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.

  • Authors

    P. J. Cameron, Queen Mary University of London

    J. H. van Lint, Technische Universiteit Eindhoven, The Netherlands

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