{
  "id": "1806.11325",
  "version": "v1",
  "published": "2018-06-29T09:53:26.000Z",
  "updated": "2018-06-29T09:53:26.000Z",
  "title": "On the integrability of strongly regular graphs",
  "authors": [
    "Jack H. Koolen",
    "Masood Ur Rehman",
    "Qianqian Yang"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "Koolen et al. showed that if a connected graph with smallest eigenvalue at least $-3$ has large minimal valency, then it is $2$-integrable. In this paper, we will prove that a lower bound for the minimal valency is 166.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-06-29T09:53:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50",
      "05E30",
      "11H99"
    ],
    "keywords": [
      "strongly regular graphs",
      "integrability",
      "large minimal valency",
      "smallest eigenvalue",
      "lower bound"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}