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**About this book :- **
**Lectures on Spectral Graph Theory **
** Fan R. K. Chung**.

**Book Detail :- **
** Title: ** Lectures on Spectral Graph Theory
** Edition: **
** Author(s): ** Fan R. K. Chung
** Publisher: **
** Series: **
** Year: **
** Pages: **
** Type: ** PDF
** Language: ** English
** ISBN: **
** Country: **
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**Book Contents :- **
**Lectures on Spectral Graph Theory **
** Fan R. K. Chung**
cover the following topics.
**1. Eigenvalues and the Laplacian of a graph**

1.1. Introduction

1.2. The Laplacian and eigenvalues

1.3. Basic facts about the spectrum of a graph

1.4. Eigenvalues of weighted graphs

1.5. Eigenvalues and random walks
**2. Isoperimetric problems**

2.1. History

2.2. The Cheeger constant of a graph

2.3. The edge expansion of a graph

2.4. The vertex expansion of a graph

2.5. A characterization of the Cheeger constant

2.6. Isoperimetric inequalities for cartesian products
**3. Diameters and eigenvalues**

3.1. The diameter of a graph

3.2. Eigenvalues and distances between two subsets

3.3. Eigenvalues and distances among many subsets

3.4. Eigenvalue upper bounds for manifolds
**4. Paths, flows, and routing**

4.1. Paths and sets of paths

4.2. Flows and Cheeger constants

4.3. Eigenvalues and routes with small congestion

4.4. Routing in graphs

4.5. Comparison theorems
**5. Eigenvalues and quasi-randomness**

5.1. Quasi-randomness

5.2. The discrepancy property

5.3. The deviation of a graph

5.4. Quasi-random graphs

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