Designs, Graphs, Codes and Their Links (London Mathematical Society Student Texts)

個数:

Designs, Graphs, Codes and Their Links (London Mathematical Society Student Texts)

  • 提携先の海外書籍取次会社に在庫がございます。通常2週間で発送いたします。
    重要ご説明事項
    1. 納期遅延や、ご入手不能となる場合が若干ございます。
    2. 複数冊ご注文の場合、分割発送となる場合がございます。
    3. 美品のご指定は承りかねます。

  • 提携先の海外書籍取次会社に在庫がございます。通常約2週間で発送いたします。
    重要ご説明事項
    1. 納期遅延や、ご入手不能となる場合が若干ございます。
    2. 複数冊ご注文の場合、分割発送となる場合がございます。
    3. 美品のご指定は承りかねます。
  • ≪洋書のご注文につきまして≫ 「海外取次在庫あり」および「国内仕入れ先からお取り寄せいたします」表示の商品でも、納期の目安期間内にお届けできないことがございます。あらかじめご了承ください。

  • 製本 Hardcover:ハードカバー版/ページ数 150 p.
  • 言語 ENG
  • 商品コード 9780521413251
  • DDC分類 511.6

Full Description


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.

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.