Spectral Graph Theory (CBMS Regional Conference Series in Mathematics, No. 92) 49277th Edition

I've used this book extensively in my own research. For me, as some one who researches more in geometry & topology, the main value of this book lies in it's treatment of heat kernels on a graph and the duality with heat kernels of Riemannian manifolds (Chapter 10 of the book).The book itself can be kind of dense in the material it presents, but never overwhelmingly so. Dr. Chung is an expert in the field and you're probably not going to find a better book than this if you're looking to get into the concepts of the field of 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.

Though a bit terse at times, this is an excellent introduction to spectral theory.

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.

I found some very good stuff in this book.It is buried deep though.Again Fan Chung writes a book on graph theory withjust about no simple examples or graphs at all.The Cheeger constant and, both the volume and diameter measuresare not presented in an accessible way: just no real way tocalculate them is given.What is important seems to be what isn't mentioned anywhere:the Cartan, Dykin and Coxeter approach to graphs and large scale symmetry.The treatment of the buckyball is the one concrete example andthe results instead of being explain are just givenwithout sufficient explanation.I have also to review Fan Chung's 2006 lecture with Linyaun Lu Complex Graphs and Networks (Cbms Regional Conference Series in Mathematics) which appears to be a little better written.Some one seem to have told Fan Chung that proofs with less an or equal to are O. K.: they are in most cases a bad mistake in a book such as this for graduate students.

But it will help people to understand a few things about SGT.It has a few mistakes - typos and it is lacking some crucial proofs.The bibliography is a little bit off and its not always accurate.But it gives you a lot of information concentrated in a few chapters that can help you save time from looking for it.