# Is there any solution that currently exists for the graph automorphism problem in the general case?

I was reading the Wikipedia pages on the graph automorphism, but I could not find any solution to the problem (Not even a brute force one). So, is it indeed true that no solutions exist for the general case of the automorphism problem?

P.S. Are there any significant uses of a solution to this problem in pure mathematics, or is the significance of such a solution mostly practical?