{
  "id": "cond-mat/9908216",
  "version": "v2",
  "published": "1999-08-16T21:05:01.000Z",
  "updated": "1999-08-19T18:57:36.000Z",
  "title": "Exact results and scaling properties of small-world networks",
  "authors": [
    "R. V. Kulkarni",
    "E. Almaas",
    "D. Stroud"
  ],
  "comment": "RevTeX, 4 pages, 5 figures included. Minor corrections and additions",
  "journal": "Phys. Rev. E 61, 4268 (2000)",
  "doi": "10.1103/PhysRevE.61.4268",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We study the distribution function for minimal paths in small-world networks. Using properties of this distribution function, we derive analytic results which greatly simplify the numerical calculation of the average minimal distance, $\\bar{\\ell}$, and its variance, $\\sigma^2$. We also discuss the scaling properties of the distribution function. Finally, we study the limit of large system sizes and obtain some analytic results.",
  "revisions": [
    {
      "version": "v2",
      "updated": "1999-08-19T18:57:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "small-world networks",
      "scaling properties",
      "exact results",
      "distribution function",
      "large system sizes"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}