{
  "id": "1304.3000",
  "version": "v1",
  "published": "2013-04-10T15:36:50.000Z",
  "updated": "2013-04-10T15:36:50.000Z",
  "title": "Non-Vertex-Balanced Factors in Random Graphs",
  "authors": [
    "Stefanie Gerke",
    "Andrew McDowell"
  ],
  "comment": "41 pages. Pre-print. arXiv admin note: text overlap with arXiv:0803.3406 by other authors",
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove part of a conjecture by Johansson, Kahn and Vu \\cite{JKV} regarding threshold functions for the existence of an $H$-factor in a random graph \\gnp. We prove that the conjectured threshold function is correct for any graph $H$ which is not covered by its densest subgraphs. We also demonstrate that the main result of \\cite{JKV} generalises to multigraphs, digraphs, and a multipartite model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-04-10T15:36:50.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C70",
      "05C80",
      "05C20"
    ],
    "keywords": [
      "random graph",
      "non-vertex-balanced factors",
      "conjectured threshold function",
      "regarding threshold functions",
      "multipartite model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 41,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1304.3000G"
    }
  }
}