{
  "id": "2109.03491",
  "version": "v1",
  "published": "2021-09-08T08:29:32.000Z",
  "updated": "2021-09-08T08:29:32.000Z",
  "title": "Sesqui-regular graphs with smallest eigenvalue at least $-3$",
  "authors": [
    "Qianqian Yang",
    "Brhane Gebremichel",
    "Masood Ur Rehman",
    "Jae Young Yang",
    "Jack H. Koolen"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "Koolen et al. showed that if a graph with smallest eigenvalue at least $-3$ has large minimal valency, then it is $2$-integrable. In this paper, we will focus on the sesqui-regular graphs with smallest eigenvalue at least $-3$ and study their integrability.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-08T08:29:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50",
      "05C62",
      "05C75",
      "11H99"
    ],
    "keywords": [
      "smallest eigenvalue",
      "sesqui-regular graphs",
      "large minimal valency",
      "integrability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}