{
  "id": "1403.3837",
  "version": "v2",
  "published": "2014-03-15T18:24:51.000Z",
  "updated": "2014-07-30T09:33:42.000Z",
  "title": "A density Corrádi-Hajnal Theorem",
  "authors": [
    "Peter Allen",
    "Julia Böttcher",
    "Jan Hladký",
    "Diana Piguet"
  ],
  "comment": "41 pages (including 11 pages of appendix), 4 figures, 2 tables",
  "categories": [
    "math.CO"
  ],
  "abstract": "We find, for all sufficiently large $n$ and each $k$, the maximum number of edges in an $n$-vertex graph which does not contain $k+1$ vertex-disjoint triangles. This extends a result of Moon [Canad. J. Math. 20 (1968), 96-102] which is in turn an extension of Mantel's Theorem. Our result can also be viewed as a density version of the Corradi-Hajnal Theorem.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-30T09:33:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C35"
    ],
    "keywords": [
      "density corrádi-hajnal theorem",
      "density version",
      "mantels theorem",
      "maximum number",
      "vertex-disjoint triangles"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1403.3837A"
    }
  }
}