{
  "id": "cond-mat/0609453",
  "version": "v1",
  "published": "2006-09-19T10:08:25.000Z",
  "updated": "2006-09-19T10:08:25.000Z",
  "title": "Spanning trees on the Sierpinski gasket",
  "authors": [
    "Shu-Chiuan Chang",
    "Lung-Chi Chen"
  ],
  "comment": "20 pages, 8 figures, 1 table",
  "journal": "J. Stat. Phys. 126 (2007) 649-667",
  "doi": "10.1007/s10955-006-9262-0",
  "categories": [
    "cond-mat.stat-mech",
    "math.CO"
  ],
  "abstract": "We obtain the numbers of spanning trees on the Sierpinski gasket $SG_d(n)$ with dimension $d$ equal to two, three and four. The general expression for the number of spanning trees on $SG_d(n)$ with arbitrary $d$ is conjectured. The numbers of spanning trees on the generalized Sierpinski gasket $SG_{d,b}(n)$ with $d=2$ and $b=3,4$ are also obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-09-19T10:08:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spanning trees",
      "generalized sierpinski gasket",
      "general expression"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}