TITLE: Symmetries of combinatorial structures.
QUESTION [8 upvotes]: Studying the automorphism groups of graphs/finite geometries/designs has been quite useful and important for both group theory and combinatorics. I know of the following books which cover the ideas involved in the role of group theory in combinatorics and vice-versa: 

Algebraic Graph Theory by Godsil and Royle.
Permutation Groups and Combinatorial Structures by Normal L. Biggs, A.T. White.
Topics in Algebraic Graph Theory by Wilson, Cameron and Beineke. 

Are there any other such books or survey articles which you would recommend? Especially for structures other than graphs like point-line geometries and combinatorial-designs.

REPLY [3 votes]: "The bible" of algebraic graph theory is essential: Distance-Regular Graphs by Brouwer, Cohen and Neumaier. 
Another favorite of mine is Permutation Groups by Peter Cameron.