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  "body": "\n## Statement\n\nAn (unlabeled and uncolored) directed graph $\\Gamma$ is a Cayley graph of a group $G$ if and only if it admits a simply transitive action of $G$ by graph automorphisms (i.e., preserving the set of directed edges).\n",
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        "locator": "Cayley graph, section Characterization",
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