{
  "id": "1303.3674",
  "version": "v1",
  "published": "2013-03-15T04:27:46.000Z",
  "updated": "2013-03-15T04:27:46.000Z",
  "title": "A characterization of triangulations of closed surfaces",
  "authors": [
    "Jorge Arocha",
    "Javier Bracho",
    "Natalia Garcia-Colin",
    "Isabel Hubard"
  ],
  "comment": "Submitted to EUROCOMB 2013",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper we prove that a finite triangulation of a connected closed surface is completely determined by its intersection matrix. The \\emph{intersection matrix} of a finite triangulation, $K$, is defined as $M_{K}=(dim(s_{i}\\cap s_{j}))_{0\\leq i,0\\leq j}^{n-1}$, where $K_{2}=\\{s_{0}, \\ldots s_{n-1}\\}$ is a labelling of the triangles of $K$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-15T04:27:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "characterization",
      "finite triangulation",
      "intersection matrix"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.3674A"
    }
  }
}