{
  "id": "1504.08252",
  "version": "v1",
  "published": "2015-04-30T14:50:13.000Z",
  "updated": "2015-04-30T14:50:13.000Z",
  "title": "A note on the Erdős-Hajnal property for stable graphs",
  "authors": [
    "Artem Chernikov",
    "Sergei Starchenko"
  ],
  "comment": "4 pages",
  "categories": [
    "math.LO",
    "math.CO"
  ],
  "abstract": "In this short note we provide a relatively simple proof of the Erd\\H{o}s-Hajnal conjecture for families of finite (hyper-)graphs without the $k$-order property. It was originally proved by M. Malliaris and S. Shelah in \"Regularity lemmas for stable graphs\", Transactions AMS, 366, 2014, 1551-1585.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-04-30T14:50:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "03C45",
      "05C35",
      "05C69"
    ],
    "keywords": [
      "stable graphs",
      "erdős-hajnal property",
      "relatively simple proof",
      "transactions ams",
      "order property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150408252C"
    }
  }
}