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This topic has appeared in the trending rankings 1 time(s) in the past year. While it does not trend frequently, its appearance suggests a renewed or concentrated surge of public interest.
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This topic has appeared in the English Wikipedia rankings 1 time. It first appeared on 2026-04-30 and was most recently seen on 2026-04-30.
Frucht's theorem is a result in algebraic graph theory, conjectured by Dénes Kőnig in 1936 and proved by Robert Frucht in 1939. It states that every finite group is the group of symmetries of a finite undirected graph. More strongly, for any finite group , there exist infinitely many non-isomorphic simple connected graphs such that the automorphism group of each of them is isomorphic to .
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