Elementary Number Theory, Group Theory and Ramanujan Graphs

ISBN-13: 9780521824262 / Angielski / Twarda / 2003 / 156 str.

Giuliana Davidoff; Peter Sarnak

Opis

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.

Recenzje

'A light touch and the inclusion of some unexpected results make the book a pleasure to read.' Mathematika

Spis treści

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.