Elementary number theory, group theory, and Ramanujan graphs
著者
書誌事項
Elementary number theory, group theory, and Ramanujan graphs
（London Mathematical Society student texts, 55）
Cambridge University Press, 2003
- : hb
- : pbk
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注記
Bibliography: p. 138-141
Includes index
内容説明・目次
内容説明
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.
目次
- An overview
- 1. Graph theory
- 2. Number theory
- 3. PSL2(q)
- 4. The graphs Xp,q
- Appendix A. 4-regular graphs with large girth
- Index
- Bibliography.
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