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Elementary Number Theory, Group Theory, and Ramanujan Graphs, Paperback by Davidoff, Giuliana P.; Sarnak, Peter; Valette, Alain, ISBN 0521531438, ISBN-13 9780521531436, Brand New, Free shipping in the US
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 reader needs only a background in elementary algebra, analysis and combinatorics; the authors supply 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.
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