{
  "id": "1206.0633",
  "version": "v1",
  "published": "2012-06-04T14:33:18.000Z",
  "updated": "2012-06-04T14:33:18.000Z",
  "title": "Weights and degrees in a random graph model based on 3-interactions",
  "authors": [
    "Agnes Backhausz",
    "Tamas F. Mori"
  ],
  "comment": "16 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In a random graph model based on 3-interactions we give the joint asymptotic distribution of weights and degrees and prove scale-free property for the model. Moreover, we determine the asymptotics of the maximal weight and the maximal degree.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-06-04T14:33:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C80",
      "60G42"
    ],
    "keywords": [
      "random graph model",
      "joint asymptotic distribution",
      "maximal degree",
      "maximal weight",
      "scale-free property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.0633B"
    }
  }
}