{
  "id": "0808.0766",
  "version": "v2",
  "published": "2008-08-06T03:53:32.000Z",
  "updated": "2009-01-22T03:17:37.000Z",
  "title": "Dynamics of k-core percolation in a random graph",
  "authors": [
    "Mami Iwata",
    "Shin-ichi Sasa"
  ],
  "comment": "16 pages, 4 figures",
  "journal": "J. Phys. A: Math. Theor. 42 (2009) 075005",
  "doi": "10.1088/1751-8113/42/7/075005",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We study the edge deletion process of random graphs near a k-core percolation point. We find that the time-dependent number of edges in the process exhibits critically divergent fluctuations. We first show theoretically that the k-core percolation point is exactly given as the saddle-node bifurcation point in a dynamical system. We then determine all the exponents for the divergence based on a universal description of fluctuations near the saddle-node bifurcation.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-01-22T03:17:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random graph",
      "k-core percolation point",
      "edge deletion process",
      "saddle-node bifurcation point",
      "time-dependent number"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2009,
      "month": "Feb",
      "volume": 42,
      "number": 7,
      "pages": "075005"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JPhA...42g5005I"
    }
  }
}