{
  "aliases": [
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  ],
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  "body": "\n## Summary\n\nIn graph theory, a vertex [[subset|0BJR9QR08E]] $S \\subset V$ is a **vertex separator** (or **vertex cut**, or **separating set**) for nonadjacent vertices $a$ and $b$ if the removal of $S$ from the [[graph|00C0BR7D7H]] separates $a$ and $b$ into distinct connected components.\n",
  "commit": "68a8c3dc73fd55004b2796431c607c30960d1a85",
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  "markdown": "https://math2.tamnd.com/node/JAK0VB4J70.md",
  "msc": null,
  "name": "Vertex separator",
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  "source": "https://github.com/tamnd/math2/blob/main/nodes/JAK/JAK0VB4J70.md",
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