{
  "id": "2212.03622",
  "version": "v1",
  "published": "2022-12-07T13:27:03.000Z",
  "updated": "2022-12-07T13:27:03.000Z",
  "title": "A spectral condition for graphs with all fractional $[a,b]$-factors",
  "authors": [
    "Jiaxin Zheng",
    "Junjie Wang"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "Let $a<b$ be two positive integers. We say that a graph $G$ has all fractional $[a,b]$-factors if it has a fractional $p$-factor for every $p: V(G) \\rightarrow \\mathbb{Z}^+$ such that $a\\le p(x)\\le b$ for every $x\\in V(G)$. In this paper, we provide a tight spectral radius condition for graphs having all fractional $[a,b]$-factors.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-07T13:27:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C50"
    ],
    "keywords": [
      "spectral condition",
      "fractional",
      "tight spectral radius condition",
      "positive integers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}