{
  "id": "1809.00468",
  "version": "v1",
  "published": "2018-09-03T07:07:15.000Z",
  "updated": "2018-09-03T07:07:15.000Z",
  "title": "Improved bounds for the extremal number of subdivisions",
  "authors": [
    "Oliver Janzer"
  ],
  "comment": "5 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "Let $H_t$ be the subdivision of $K_t$. Very recently, Conlon and Lee have proved that for any integer $t\\geq 3$, there exists a constant $C$ such that $\\text{ex}(n,H_t)\\leq Cn^{3/2-1/6^t}$. In this paper, we prove that there exists a constant $C'$ such that $\\text{ex}(n,H_t)\\leq C'n^{3/2-\\frac{1}{4t-6}}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-03T07:07:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C35"
    ],
    "keywords": [
      "extremal number",
      "subdivision"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}