{
  "id": "2401.12153",
  "version": "v1",
  "published": "2024-01-22T17:47:01.000Z",
  "updated": "2024-01-22T17:47:01.000Z",
  "title": "Extension property for partial automorphisms of the $n$-partite and semigeneric tournaments",
  "authors": [
    "Jan Hubička",
    "Colin Jahel",
    "Matěj Konečný",
    "Marcin Sabok"
  ],
  "categories": [
    "math.CO",
    "cs.DM",
    "math.LO"
  ],
  "abstract": "We present a proof of the extension property for partial automorphisms (EPPA) for classes of finite $n$-partite tournaments for $n \\in \\{2,3,\\ldots,\\omega\\}$, and for the class of finite semigeneric tournaments. We also prove that the generic $\\omega$-partite tournament and the generic semigeneric tournament have ample generics.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-01-22T17:47:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "partial automorphisms",
      "extension property",
      "partite tournament",
      "finite semigeneric tournaments",
      "generic semigeneric tournament"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}