{
  "id": "0709.2074",
  "version": "v1",
  "published": "2007-09-13T13:37:58.000Z",
  "updated": "2007-09-13T13:37:58.000Z",
  "title": "Generalized entropies and open random and scale-free networks",
  "authors": [
    "V. Gudkov",
    "V. Montealegre"
  ],
  "comment": "talk at CTNEXT07 (July 2007)",
  "doi": "10.1063/1.2828754",
  "categories": [
    "cond-mat.dis-nn",
    "cs.NI",
    "physics.soc-ph"
  ],
  "abstract": "We propose the concept of open network as an arbitrary selection of nodes of a large unknown network. Using the hypothesis that information of the whole network structure can be extrapolated from an arbitrary set of its nodes, we use Renyi mutual entropies in different q-orders to establish the minimum critical size of a random set of nodes that represents reliably the information of the main network structure. We also identify the clusters of nodes responsible for the structure of their containing network.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-09-13T13:37:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "89.75.Da",
      "89.75.Hc",
      "05.70.-a",
      "89.70.+c"
    ],
    "keywords": [
      "scale-free networks",
      "open random",
      "generalized entropies",
      "large unknown network",
      "main network structure"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007AIPC..965..336G"
    }
  }
}