{
  "id": "1606.07833",
  "version": "v1",
  "published": "2016-06-24T20:40:15.000Z",
  "updated": "2016-06-24T20:40:15.000Z",
  "title": "Square of Hamilton cycle in a random graph",
  "authors": [
    "Andrzej Dudek",
    "Alan Frieze"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We show that if $\\beta>0$ is constant and $p\\geq \\sqrt{\\frac{\\beta\\log n}{n}}$ then w.h.p. the random graph $G_{n,p}$ contains the square of a Hamilton cycle. This improves the previous results of K\\\"uhn and Osthus and also Nenadov and \\v{S}kori\\'c.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-06-24T20:40:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hamilton cycle",
      "random graph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}