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Elementary Number Theory, Group Theory and Ramanujan Graphs.
・ISBN 978-0-521-82426-2 hard GB£ 160.00
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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-511-61582-5
| 著者・編者 | Davidoff, Giuliana / Sarnak, Peter / Valette, Alain, |
|---|---|
| シリーズ | London Mathematical Society Student Texts |
| 出版社 | (Cambridge University Press, UK) |
| 出版年月 | 2003 |
| ページ数 | 156 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-10905> |
解説
This text is a self contained treatment of expander graphs and in particular their explicit construction. Expander graphs are both highly connected but sparse, and besides their interest within combinatorics and graph theory, they also find various applications in computer science and engineering. The reader needs only a background in elementary algebra, analysis and combinatorics; the authors supply the necessary background material from graph theory, number theory, group theory and representation theory. The text can therefore be used as a brief introduction to these subjects as well as an illustration of how such topics are synthesised in modern mathematics.