{
  "id": "0809.2879",
  "version": "v2",
  "published": "2008-09-17T14:18:41.000Z",
  "updated": "2009-04-18T13:56:36.000Z",
  "title": "An analogue of the Szemeredi Regularity Lemma for bounded degree graphs",
  "authors": [
    "Gábor Elek",
    "Gábor Lippner"
  ],
  "comment": "Corrected an error in the proof of the Homogeneity Lemma. A new result is proved about edge-colorings of convergent graph sequences",
  "categories": [
    "math.CO",
    "math.DS"
  ],
  "abstract": "We show that a sufficiently large graph of bounded degree can be decomposed into quasi-homogeneous pieces. The result can be viewed as a \"finitarization\" of the classical Farrell-Varadarajan Ergodic Decomposition Theorem.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-04-18T13:56:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C99",
      "37A20"
    ],
    "keywords": [
      "szemeredi regularity lemma",
      "bounded degree graphs",
      "classical farrell-varadarajan ergodic decomposition theorem",
      "sufficiently large graph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.2879E"
    }
  }
}