{
  "id": "2202.08530",
  "version": "v1",
  "published": "2022-02-17T09:16:28.000Z",
  "updated": "2022-02-17T09:16:28.000Z",
  "title": "Complete minors and average degree -- a short proof",
  "authors": [
    "Noga Alon",
    "Michael Krivelevich",
    "Benny Sudakov"
  ],
  "comment": "2 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We provide a short and self-contained proof of the classical result of Kostochka and of Thomason, ensuring that every graph of average degree $d$ has a complete minor of order $d/\\sqrt{\\log d}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-17T09:16:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C83",
      "05C35"
    ],
    "keywords": [
      "average degree",
      "complete minor",
      "short proof",
      "self-contained proof"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 2,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}