{
  "id": "0907.0245",
  "version": "v2",
  "published": "2009-07-01T21:15:10.000Z",
  "updated": "2011-02-12T16:59:00.000Z",
  "title": "Weighted Regularity Lemma with Applications",
  "authors": [
    "Béla Csaba",
    "András Pluhár"
  ],
  "comment": "Added new applications",
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove an extension of the Regularity Lemma with vertex and edge weights which can be applied for a large class of graphs. The applications involve random graphs and a weighted version of the Erd\\H{o}s-Stone theorem. We also provide means to handle the otherwise uncontrolled exceptional set.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-02-12T16:59:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C99"
    ],
    "keywords": [
      "weighted regularity lemma",
      "applications",
      "large class",
      "random graphs",
      "uncontrolled exceptional set"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.0245C"
    }
  }
}