Spectral Graph Theory

This book is intended for the professional mathematician that want to learn about the misteries of the eigenspectrum of the graph laplacian. A lot of misteries, a lot of fun.

This book is elegant and accessible, with a coherent presentation, but is a bit dry and unmotivated. The book would benefit from more applications, which should not be hard to find. I felt like Chapter 8 was the high point of the book, with a discussion of random walks, a matrix-tree theorem and invariant field theory. The researcher who needs an arsenal of technical results in a clear style will find it here; the student who desires some added perspective may come away somewhat dissatisfied.