{
  "id": "2305.04907",
  "version": "v1",
  "published": "2023-05-08T17:44:57.000Z",
  "updated": "2023-05-08T17:44:57.000Z",
  "title": "On the minimum blocking semioval in PG(2,11)",
  "authors": [
    "Jeremy M. Dover"
  ],
  "comment": "13 pages, 1 figure",
  "categories": [
    "math.CO"
  ],
  "abstract": "A blocking semioval is a set of points in a projective plane that is both a blocking set (i.e., every line meets the set, but the set contains no line) and a semioval (i.e., there is a unique tangent line at each point). The smallest size of a blocking semioval is known for all finite projective planes of order less than 11; we investigate the situation in PG(2,11).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-08T17:44:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "51E21"
    ],
    "keywords": [
      "minimum blocking semioval",
      "unique tangent line",
      "line meets",
      "set contains",
      "finite projective planes"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}