{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "0Y7VDAX8Q3"
    }
  ],
  "body": "\n## Summary\n\nA graph is $k$-colourable when it has a proper colouring with $k$ colours. The least such $k$ is the chromatic number. The node [[k-colourable graph|0Y7VDAX8Q3]] gives the precise definition.\n",
  "commit": "6ac761d40018146541484a9e8b9eafd6ecc303dc",
  "front": {
    "kind": "concept",
    "msc": [
      "05C15"
    ],
    "name": "K-colourable graph",
    "sources": [
      {
        "locator": "Vertex coloring",
        "url": "https://en.wikipedia.org/wiki/Graph_coloring"
      }
    ],
    "tag": "0XHZW0VCPR"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0XHZW0VCPR/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/0XHZW0VCPR.md",
  "msc": [
    "05C15"
  ],
  "name": "K-colourable graph",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0XH/0XHZW0VCPR.md",
  "status": null,
  "tag": "0XHZW0VCPR",
  "uri": "m2://0XHZW0VCPR",
  "url": "https://math2.tamnd.com/wiki/k-colourable-graph/",
  "writing": {
    "tag": "0XHZW0VCPR",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}
