Reconstruction conjecture
![graph and the associated deck of single-vertex-deleted subgraphs. Note some of the cards show isomorphic graphs.](/Images/godic/202502/06/A_graph_and_its_deck_as_described_in_the_Reconstruction_conjecture_of_graph_theory5000.jpg")
Informally, the reconstruction conjecture in graph theory says that graphs are determined uniquely by their subgraphs. It is due to Kelly and Ulam.
Reconstruction conjecture
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