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  "body": "\n## Summary\n\nA subgraph is spanning when it includes all of the vertices of the given graph. Important cases include [[spanning trees|0FQ5B8S1ZC]] (spanning subgraphs that are trees) and [[perfect matchings|05ZPH8KF9K]] (spanning subgraphs that are matchings). A spanning subgraph may also be called a factor, especially (but not only) when it is regular.\n",
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