Spectral Graph Theory
by Chung, Fan R. K.Format: Paperback
Pub. Date: 1997-05-01
Publisher(s): Amer Mathematical Society
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Summary
Beautifully written and elegantly presented, this book is based on 10 lectures given at the CBMS workshop on spectral graph theory in June 1994 at Fresno State University. Chung's well-written exposition can be likened to a conversation with a good teacher - one who not only gives you the facts, but tells you what is really going on, why it is worth doing, and how it is related to familiar ideas in other areas. The monograph is accessible to the nonexpert who is interested in reading about this evolving area of mathematics.
Table of Contents
| Eigenvalues and the Laplacian of a graph Isoperimetric problems Diameters and eigenvalues | |
| Paths, flows, and routing Eigenvalues and quasi-randomness Expanders and explicit constructions | |
| Eigenvalues of symmetrical graphs Eigenvalues of subgraphs with boundary conditions | |
| Harnack inequalities Heat kernels Sobolev inequalities Advanced techniques for random walks on graphs | |
| Bibliography | |
| Index | |
| Table of Contents provided by Publisher. All Rights Reserved. |
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