Elementary Number Theory, Group Theory and Ramanujan Graphs
Elementary Number Theory, Group Theory and Ramanujan Graphs
Peter Sarnak, Princeton University, New Jersey and New York University
Alain Valette, Université de Neuchâtel, Switzerland
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.
- Self-contained treatment
- Provides the necessary background from graph theory, number theory, group theory and representation theory
- Subject has many applications in computer science and engineering
Reviews & endorsements
'The book under review is an attractively written excellent text which successfully bridges the gap between undergraduate instruction and current research. Hence it is very well suited to bring a fresh breeze into the classroom. The reviewer warmly recommends this text to any lecturer looking for an attractive theme and to everybody else for great supplementary reading. Of course, this book should not be missed in any institutional library.' Zentralblatt MATH
'A light touch and the inclusion of some unexpected results make the book a pleasure to read.' Mathematika
Product details
March 2003Hardback
9780521824262
156 pages
229 × 152 × 13 mm
0.4kg
Available
Table of Contents
- 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.
