Given a graph $G$ how many labeled graphs are isomorphic to $G$? It seems like it is dependent on the degree sequence of the graph. Is there a term for this function?
2026-03-27 23:28:08.1774654088
Number of graphs automorphic to $G$
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Determining the automorphism group of a graph is a non-trivial exercise, which is not formulaic in nature (aside from testing all permutations in $\text{Sym}(V(G))$, which is not realistic/feasible).