Elementary Number Theory Group Theory And Ramanujan Graphs
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Elementary Number Theory, Group Theory and Ramanujan Graphs
Author: Giuliana Davidoff
language: en
Publisher: Cambridge University Press
Release Date: 2003-01-27
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.
Random Graphs, Geometry and Asymptotic Structure
Author: Michael Krivelevich
language: en
Publisher: Cambridge University Press
Release Date: 2016-04-25
A concise introduction, aimed at young researchers, to recent developments of a geometric and topological nature in random graphs.