{
  "id": "2208.13098",
  "version": "v1",
  "published": "2022-08-27T22:42:43.000Z",
  "updated": "2022-08-27T22:42:43.000Z",
  "title": "A $Q$-polynomial structure associated with the projective geometry $L_N(q)$",
  "authors": [
    "Paul Terwilliger"
  ],
  "comment": "21 pages",
  "categories": [
    "math.CO",
    "math.QA"
  ],
  "abstract": "There is a type of distance-regular graph, said to be $Q$-polynomial. In this paper we investigate a generalized $Q$-polynomial property involving a graph that is not necessarily distance-regular. We give a detailed description of an example associated with the projective geometry $L_N(q)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-08-27T22:42:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E30"
    ],
    "keywords": [
      "projective geometry",
      "polynomial structure",
      "polynomial property",
      "distance-regular graph"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}