{
  "id": "2406.14944",
  "version": "v1",
  "published": "2024-06-21T07:57:26.000Z",
  "updated": "2024-06-21T07:57:26.000Z",
  "title": "A q-analogue of delta-matroids and related concepts",
  "authors": [
    "Michela Ceria",
    "Trygve Johnsen",
    "Relinde Jurrius"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We define and study q-delta-matroids, and q-g-matroids. These objects are analogues, for finite-dimensional vector spaces over finite fields, of delta-matroids and g-matroids arising from finite sets. We compare axiomatic descriptions with definitions by means of strong maps of q-matroids.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-06-21T07:57:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B35",
      "05A30",
      "11T71"
    ],
    "keywords": [
      "related concepts",
      "q-analogue",
      "finite-dimensional vector spaces",
      "strong maps",
      "study q-delta-matroids"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}