{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "038YGY0HSC"
    }
  ],
  "body": "\n## Summary\n\nThe chromatic polynomial of a finite graph counts its proper colourings as a function of the number of colours. It is a polynomial invariant of the graph that contains the chromatic number. The node [[chromatic polynomial|038YGY0HSC]] gives the precise definition.\n",
  "commit": "6ac761d40018146541484a9e8b9eafd6ecc303dc",
  "front": {
    "kind": "concept",
    "msc": [
      "05C31",
      "05C15"
    ],
    "name": "Chromatic polynomial",
    "same_as": {
      "wikidata": "Q1087609",
      "wikipedia": "Chromatic polynomial"
    },
    "sources": [
      {
        "locator": "Definition",
        "url": "https://en.wikipedia.org/wiki/Chromatic_polynomial"
      }
    ],
    "tag": "0B621RBVS9"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0B621RBVS9/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/0B621RBVS9.md",
  "msc": [
    "05C31",
    "05C15"
  ],
  "name": "Chromatic polynomial",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0B6/0B621RBVS9.md",
  "status": null,
  "tag": "0B621RBVS9",
  "uri": "m2://0B621RBVS9",
  "url": "https://math2.tamnd.com/wiki/chromatic-polynomial/",
  "writing": {
    "tag": "0B621RBVS9",
    "kind": "concept",
    "level": "W1",
    "next": [
      {
        "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
      }
    ]
  }
}