{
  "id": "2206.08663",
  "version": "v1",
  "published": "2022-06-17T09:53:06.000Z",
  "updated": "2022-06-17T09:53:06.000Z",
  "title": "A census of small Schurian association schemes",
  "authors": [
    "Jesse Lansdown"
  ],
  "comment": "The author is supported by the Australian Research Council Discovery Grant DP200101951. This work was supported by resources provided by the Pawsey Supercomputing Centre with funding from the Australian Government and the Government of Western Australia",
  "categories": [
    "math.CO"
  ],
  "abstract": "Using the classification of transitive groups of degree $n$, for $2 \\leqslant n \\leqslant 48$, we classify the Schurian association schemes of order $n$, and as a consequence, the transitive groups of degree $n$ that are $2$-closed. In addition, we compute the character table of each association scheme and provide a census of important properties. The results of this classification are made available as a supplementary database.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-17T09:53:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E30",
      "20B25"
    ],
    "keywords": [
      "small schurian association schemes",
      "transitive groups",
      "supplementary database",
      "important properties",
      "classification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}