{
  "id": "0707.1246",
  "version": "v1",
  "published": "2007-07-09T13:16:47.000Z",
  "updated": "2007-07-09T13:16:47.000Z",
  "title": "Analytical results for stochastically growing networks: connection to the zero range process",
  "authors": [
    "P. K. Mohanty",
    "Sarika Jalan"
  ],
  "comment": "4+ pages, revtex, 3 eps figures",
  "journal": "Phys. Rev. E 77, 045102(R) (2008)",
  "doi": "10.1103/PhysRevE.77.045102",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We introduce a stochastic model of growing networks where both, the number of new nodes which joins the network and the number of connections, vary stochastically. We provide an exact mapping between this model and zero range process, and use this mapping to derive an analytical solution of degree distribution for any given evolution rule. One can also use this mapping to infer about a possible evolution rule for a given network. We demonstrate this for protein-protein interaction (PPI) network for Saccharomyces Cerevisiae.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-07-09T13:16:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "89.75.Hc",
      "05.40.-a",
      "04.20.Jb",
      "89.20.-a"
    ],
    "keywords": [
      "zero range process",
      "stochastically growing networks",
      "analytical results",
      "connection",
      "evolution rule"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review E",
      "year": 2008,
      "month": "Apr",
      "volume": 77,
      "number": 4,
      "pages": "045102"
    },
    "note": {
      "typesetting": "RevTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008PhRvE..77d5102M"
    }
  }
}