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  "body": "\n## Summary\n\nA critical graph for a given property is a graph that has the property but such that every subgraph formed by deleting a single vertex does not have the property. For instance, a factor-critical graph is one that has a perfect matching (a 1-factor) for every vertex deletion, but (because it has an odd number of vertices) has no perfect matching itself. Compare *hypo-*, used for graphs which do not have a property but for which every one-vertex deletion does.\n",
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