{
  "id": "cond-mat/0406332",
  "version": "v1",
  "published": "2004-06-15T11:26:32.000Z",
  "updated": "2004-06-15T11:26:32.000Z",
  "title": "Phase Transitions in an Aging Network",
  "authors": [
    "Kamalika Basu Hajra",
    "Parongama Sen"
  ],
  "comment": "4 pages, 4 figures Submitted to Physical Review E",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We consider a growing network in which an incoming node gets attached to the $i^{th}$ existing node with the probability $\\Pi_i \\propto {k_i}^{\\beta}\\tau_i^{\\alpha}$, where $k_{i}$ is the degree of the $i^{th}$ node and $\\tau_i$ its present age. The phase diagram in the ${{\\alpha}-{\\beta}}$ plane is obtained. The network shows scale-free behaviour, i.e., the degree distribution $P(k) \\sim k^{-\\gamma}$ with $\\gamma =3$ only along a line in this plane. Small world property, on the other hand, exists over a large region in the phase diagram.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-06-15T11:26:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "phase transitions",
      "aging network",
      "phase diagram",
      "small world property",
      "large region"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004cond.mat..6332B"
    }
  }
}