Graph automorphism groups: reference request I would like to find something like dictionary that contains info about graph automorphisms groups. Recently have found "Algebraic Graph Theory" by Godsil but I cannot find something similar in this book. I assume that good references exist. I will be grateful for any comments.

The book "Introduction to Graph Theory" by Behzad and Chartrand has a chapter on Automorphism groups of Graphs. Among other things they prove Frucht's theorem, which states that every finite group is the full automorphism group of some graph. Perhaps you would find a good introduction there.
