Elementary Number Theory, Group Theory and Ramanujan Graphs

by Giuliana Davidoff, Peter Sarnak, Alain Valette

Overview

This text is a self-contained study of expander graphs, specifically, their explicit construction. Expander graphs are highly connected but sparse, and while being of interest within combinatorics and graph theory, they can also be applied to computer science and engineering. Only a knowledge of elementary algebra, analysis and combinatorics is required because the authors provide the necessary background from graph theory, number theory, group theory and representation theory. Thus the text can be used as a brief introduction to these subjects and their synthesis in modern mathematics.

Product Details

ISBN-13:	9780521824262
Publisher:	Cambridge University Press
Publication date:	01/27/2003
Series:	London Mathematical Society Student Texts , #55
Pages:	156
Product dimensions:	5.98(w) x 9.02(h) x 0.51(d)

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.

Editorial Reviews

"It would make a great text for an honors or senior seminar, showing how elegantly many different areas of mathematics come together to solve a very concrete problem of broad interest and application." Mathematical Reviews

"...a well written and stimulating book." MAA Online Book Review

From the Publisher