{
  "id": "cond-mat/0505193",
  "version": "v2",
  "published": "2005-05-08T18:39:07.000Z",
  "updated": "2005-09-23T17:41:22.000Z",
  "title": "Organization of complex networks without multiple connections",
  "authors": [
    "S. N. Dorogovtsev",
    "J. F. F. Mendes",
    "A. M. Povolotsky",
    "A. N. Samukhin"
  ],
  "comment": "5 pages, 2 figures",
  "journal": "Phys.Rev.Lett. 95 (2005) 195701",
  "doi": "10.1103/PhysRevLett.95.195701",
  "categories": [
    "cond-mat.stat-mech",
    "cs.NI",
    "hep-lat",
    "physics.soc-ph"
  ],
  "abstract": "We find a new structural feature of equilibrium complex random networks without multiple and self-connections. We show that if the number of connections is sufficiently high, these networks contain a core of highly interconnected vertices. The number of vertices in this core varies in the range between $const N^{1/2}$ and $const N^{2/3}$, where $N$ is the number of vertices in a network. At the birth point of the core, we obtain the size-dependent cut-off of the distribution of the number of connections and find that its position differs from earlier estimates.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2005-09-23T17:41:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "89.75.Fb",
      "64.60.Cn",
      "05.10.-a",
      "87.18.Sn"
    ],
    "keywords": [
      "multiple connections",
      "complex networks",
      "organization",
      "equilibrium complex random networks",
      "networks contain"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. Lett."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 5,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 682263
    }
  }
}