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  "body": "\n## Summary\n\nIn graph theory, a branch of mathematics, two graphs *G* and *H* are called **homomorphically equivalent** if there exists a [[graph homomorphism|052JJ9YVNM]] $f\\colon G \\to H$ and a graph homomorphism $g\\colon H \\to G$. An example usage of this notion is that any two cores of a graph are homomorphically equivalent.\n",
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