{
  "id": "cond-mat/0109049",
  "version": "v1",
  "published": "2001-09-04T12:34:35.000Z",
  "updated": "2001-09-04T12:34:35.000Z",
  "title": "Criticality of rumor propagation on small-world networks",
  "authors": [
    "Damian H. Zanette"
  ],
  "comment": "4 pages, 4 figures",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We show that a simple model for the propagation of a rumor on a small-world network exhibits critical behavior at a finite randomness of the underlying graph. The transition occurs between a regime where the rumor \"dies\" in a small neighborhood of its origin, and a regime where it spreads over a finite fraction of the whole population. Critical exponents are evaluated through finite-size scaling analysis, and the dependence of the critical randomness with the network connectivity is studied. The behavior of this system as a function of the network randomness bears noticeable similarities with an epidemiological model reported recently [M. Kuperman and G. Abramson, Phys. Rev. Lett. 86, 2909 (2001)], in spite of substantial differences in the respective dynamical rules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-09-04T12:34:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "small-world network",
      "rumor propagation",
      "criticality",
      "network randomness bears noticeable similarities",
      "substantial differences"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001cond.mat..9049Z"
    }
  }
}