{
  "id": "0907.1514",
  "version": "v2",
  "published": "2009-07-09T11:44:54.000Z",
  "updated": "2009-10-16T12:56:40.000Z",
  "title": "Entropy measures for complex networks: Toward an information theory of complex topologies",
  "authors": [
    "Kartik Anand",
    "Ginestra Bianconi"
  ],
  "comment": "(4 pages, 1 figure)",
  "journal": "Phys. Rev. E 80, 045102(R) (2009)",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech",
    "physics.soc-ph"
  ],
  "abstract": "The quantification of the complexity of networks is, today, a fundamental problem in the physics of complex systems. A possible roadmap to solve the problem is via extending key concepts of information theory to networks. In this paper we propose how to define the Shannon entropy of a network ensemble and how it relates to the Gibbs and von Neumann entropies of network ensembles. The quantities we introduce here will play a crucial role for the formulation of null models of networks through maximum-entropy arguments and will contribute to inference problems emerging in the field of complex networks.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-10-16T12:56:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "89.75.Hc",
      "89.75.Fb",
      "89.75.Da"
    ],
    "keywords": [
      "complex networks",
      "information theory",
      "entropy measures",
      "complex topologies",
      "von neumann entropies"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "doi": "10.1103/PhysRevE.80.045102",
      "year": 2009,
      "month": "Oct",
      "volume": 80,
      "number": 4,
      "pages": "045102"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009PhRvE..80d5102A"
    }
  }
}