{
  "id": "0808.0963",
  "version": "v2",
  "published": "2008-08-07T06:08:00.000Z",
  "updated": "2009-02-06T02:27:09.000Z",
  "title": "A parallel algorithm for the enumeration of benzenoid hydrocarbons",
  "authors": [
    "Iwan Jensen"
  ],
  "comment": "14 pages, 6 figures",
  "doi": "10.1088/1742-5468/2009/02/P02065",
  "categories": [
    "cond-mat.stat-mech",
    "physics.chem-ph",
    "physics.comp-ph"
  ],
  "abstract": "We present an improved parallel algorithm for the enumeration of fixed benzenoids B_h containing h hexagonal cells. We can thus extend the enumeration of B_h from the previous best h=35 up to h=50. Analysis of the associated generating function confirms to a very high degree of certainty that $B_h \\sim A \\kappa^h /h$ and we estimate that the growth constant $\\kappa = 5.161930154(8)$ and the amplitude $A=0.2808499(1)$.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-02-06T02:27:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "parallel algorithm",
      "benzenoid hydrocarbons",
      "enumeration",
      "growth constant",
      "high degree"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2009,
      "month": "Feb",
      "volume": 2009,
      "number": 2,
      "pages": 2065
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JSMTE..02..065J"
    }
  }
}