{
  "id": "cond-mat/0009082",
  "version": "v1",
  "published": "2000-09-06T10:07:39.000Z",
  "updated": "2000-09-06T10:07:39.000Z",
  "title": "Small-World Networks: Links with long-tailed distributions",
  "authors": [
    "S. Jespersen",
    "A. Blumen"
  ],
  "comment": "11 pages, 4 figures, to appear in Phys.Rev. E",
  "doi": "10.1103/PhysRevE.62.6270",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "Small-world networks (SWN), obtained by randomly adding to a regular structure additional links (AL), are of current interest. In this article we explore (based on physical models) a new variant of SWN, in which the probability of realizing an AL depends on the chemical distance between the connected sites. We assume a power-law probability distribution and study random walkers on the network, focussing especially on their probability of being at the origin. We connect the results to L\\'evy Flights, which follow from a mean field variant of our model.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-09-06T10:07:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "small-world networks",
      "long-tailed distributions",
      "regular structure additional links",
      "power-law probability distribution",
      "study random walkers"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}