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Not a difficult problem, but it was on the exam I was invigilating and I thought it was cute.
If G and G' are graphs isomorphic to K_{n,n} (complete bipartite), how many isomorphisms are there from G to G'?
If G and G' are graphs isomorphic to K_{n,n} (complete bipartite), how many isomorphisms are there from G to G'?