{
  "id": "1911.07664",
  "version": "v1",
  "published": "2019-11-13T13:49:08.000Z",
  "updated": "2019-11-13T13:49:08.000Z",
  "title": "On the upper embedding of Steiner triple systems and Latin squares",
  "authors": [
    "Terry S. Griggs",
    "Thomas A. McCourt",
    "Jozef Siran"
  ],
  "comment": "arXiv admin note: text overlap with arXiv:1904.02919",
  "categories": [
    "math.CO"
  ],
  "abstract": "It is proved that for any prescribed orientation of the triples of either a Steiner triple system or a Latin square of odd order, there exists an embedding in an orientable surface with the triples forming triangular faces and one extra large face.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-11-13T13:49:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B07",
      "05B15",
      "05C10"
    ],
    "keywords": [
      "steiner triple system",
      "latin square",
      "upper embedding",
      "extra large face",
      "triples forming triangular faces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}