{
  "id": "1106.1565",
  "version": "v2",
  "published": "2011-06-08T14:11:51.000Z",
  "updated": "2011-09-07T15:58:27.000Z",
  "title": "Tricritical point in heterogeneous k-core percolation",
  "authors": [
    "Davide Cellai",
    "Aonghus Lawlor",
    "Kenneth A. Dawson",
    "James P. Gleeson"
  ],
  "journal": "Physical Review Letters 107, 175703 (2011)",
  "doi": "10.1103/PhysRevLett.107.175703",
  "categories": [
    "cond-mat.dis-nn",
    "cond-mat.stat-mech"
  ],
  "abstract": "k-core percolation is an extension of the concept of classical percolation and is particularly relevant to understand the resilience of complex networks under random damage. A new analytical formalism has been recently proposed to deal with heterogeneous k-cores, where each vertex is assigned a local threshold k_i. In this paper we identify a binary mixture of heterogeneous k-core which exhibits a tricritical point. We investigate the new scaling scenario and calculate the relevant critical exponents, by analytical and computational methods, for Erdos-Renyi networks and 2d square lattices.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-09-07T15:58:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "64.60.ah",
      "05.70.Fh",
      "64.60.aq",
      "89.75.Da"
    ],
    "keywords": [
      "heterogeneous k-core percolation",
      "tricritical point",
      "2d square lattices",
      "random damage",
      "local threshold"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Physical Review Letters",
      "year": 2011,
      "month": "Oct",
      "volume": 107,
      "number": 17,
      "pages": 175703
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011PhRvL.107q5703C"
    }
  }
}