Conflict Analysis and Branching Heuristics in the Search for Graph Automorphisms

We adapt techniques from the constraint programming and satisfiability literatures to expedite the search for graph automorphisms. Specifically, we implement conflict-driven backjumping, several branching heuristics, andrestarts. To support backjumping, we extend high-performance search for graph automorphisms with a novel framework for conflict analysis. Empirically, these techniques improve performance up to several orders of magnitude.