{
  "aliases": null,
  "backlinks": null,
  "body": "\n## Summary\n\n- Ringel's conjecture that the [[complete graph|03WKB2H474]] $K_{2n+1}$ can be decomposed into $2n+1$ copies of any tree with $n$ edges (Richard Montgomery, Benny Sudakov, Alexey Pokrovskiy, 2020).\n",
  "commit": "68a8c3dc73fd55004b2796431c607c30960d1a85",
  "front": {
    "inventory": [
      "YY8VQW8HSV"
    ],
    "kind": "concept",
    "name": "Ringel's conjecture",
    "sources": [
      {
        "locator": "List of unsolved problems in mathematics, section Problems solved since 2015 \u003e Graph theory",
        "mention": "wikipedia://en/183091#FSTP",
        "note": "adopted",
        "sections": [
          "Summary"
        ],
        "wikipedia": "en:183091@r1376385932"
      }
    ],
    "tag": "3QRX023Q4E"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/3QRX023Q4E/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/3QRX023Q4E.md",
  "msc": null,
  "name": "Ringel's conjecture",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/3QR/3QRX023Q4E.md",
  "status": null,
  "tag": "3QRX023Q4E",
  "uri": "m2://3QRX023Q4E",
  "url": "https://math2.tamnd.com/wiki/ringels-conjecture/",
  "writing": {
    "tag": "3QRX023Q4E",
    "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
      }
    ]
  }
}