Reddit reviews Algebraic Graph Theory (Graduate Texts in Mathematics Book 207)

Neat - there's someone is interested in the same field as me. Here's some resources on the topic.


Dr. Fan Chung of UCSD is considered one of the premier experts in the field. She has plenty of resources on it on her website. Link to her website


Dr. Steve Butler from Iowa State (who studied under Dr. Chung) has a playlist of his course lectures on it. Each video has a link to the notes. Link to playlist


Another expert on the subject I've met is Dr. Paul Horn, another student of Dr. Chung. Link to his website


Books:

Godsil and Royle's book on Algebraic Graph Theory. This is a good intro to the combined study of algebra and graph theory and has a couple chapters all about graph matrices. I would consider it essential for someone just getting into the topic, especially as an upper-level undergraduate.


Svetkovic, Rowlinson, & Simic's "An Introduction to the Theory of Graph Spectra". I consider this to be a little light on depth in any topic but it gives you an exceptionally diverse taste of all the different types of problems in the field.


Dr. Chung's lecture notes on spectral graph theory. She compiled these notes from a series of talks she did on the subject in the 90's. The notes have more depth but less breadth than the previous book I listed. Also not to brag or anything, but I got my copy signed by her at last year's JMM.


I hope these resources will be useful to you. Happy hunting.