{
  "id": "cond-mat/0208551",
  "version": "v1",
  "published": "2002-08-28T12:06:33.000Z",
  "updated": "2002-08-28T12:06:33.000Z",
  "title": "Structural transitions in scale-free networks",
  "authors": [
    "Gabor Szabo",
    "Mikko Alava",
    "Janos Kertesz"
  ],
  "comment": "4 pages, 3 figures, RevTex format",
  "doi": "10.1103/PhysRevE.67.056102",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "Real growing networks like the WWW or personal connection based networks are characterized by a high degree of clustering, in addition to the small-world property and the absence of a characteristic scale. Appropriate modifications of the (Barabasi-Albert) preferential attachment network growth capture all these aspects. We present a scaling theory to describe the behavior of the generalized models and the mean field rate equation for the problem. This is solved for a specific case with the result C(k) ~ 1/k for the clustering of a node of degree k. Numerical results agree with such a mean-field exponent which also reproduces the clustering of many real networks.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-08-28T12:06:33.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scale-free networks",
      "structural transitions",
      "preferential attachment network growth capture",
      "mean field rate equation",
      "real networks"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}