{
  "aliases": null,
  "backlinks": null,
  "body": "\n## Summary\n\nIn graph theory, a branch of mathematics, a **chordal completion** of a given undirected graph $G$ is a chordal graph, on the same vertex set, that has $G$ as a subgraph. A **minimal chordal completion** is a chordal completion such that any graph formed by removing an edge would no longer be a chordal completion. A **minimum chordal completion** is a chordal completion with as few edges as possible.\n",
  "commit": "68a8c3dc73fd55004b2796431c607c30960d1a85",
  "front": {
    "inventory": [
      "FTQAG0SK6W"
    ],
    "kind": "concept",
    "name": "Chordal completion",
    "same_as": {
      "wikidata": "Q25304222",
      "wikipedia": "Chordal completion"
    },
    "sources": [
      {
        "locator": "Chordal completion",
        "mention": "wikipedia://en/48088710",
        "note": "adopted",
        "sections": [
          "Summary"
        ],
        "wikipedia": "en:48088710@r1369270789"
      }
    ],
    "tag": "KX4MJ8489H"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/KX4MJ8489H/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/KX4MJ8489H.md",
  "msc": null,
  "name": "Chordal completion",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/KX4/KX4MJ8489H.md",
  "status": null,
  "tag": "KX4MJ8489H",
  "uri": "m2://KX4MJ8489H",
  "url": "https://math2.tamnd.com/wiki/chordal-completion/",
  "writing": {
    "tag": "KX4MJ8489H",
    "kind": "concept",
    "level": "W1",
    "next": [
      {
        "what": "edge defines in",
        "note": "at least one definition",
        "have": 0,
        "want": 1
      },
      {
        "what": "edge instance_of in",
        "note": "at least two examples",
        "have": 0,
        "want": 2
      },
      {
        "what": "edge not_instance_of in",
        "note": "at least one non-example",
        "have": 0,
        "want": 1
      },
      {
        "what": "edge specializes both",
        "note": "the more general notions and the special cases",
        "have": 0,
        "want": 1
      }
    ]
  }
}