{
  "id": "2203.02971",
  "version": "v1",
  "published": "2022-03-06T14:11:44.000Z",
  "updated": "2022-03-06T14:11:44.000Z",
  "title": "Nowhere-zero 3-flows in Cayley graphs on supersolvable groups",
  "authors": [
    "Junyang Zhang",
    "Sanming Zhou"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "Tutte's 3-flow conjecture asserts that every $4$-edge-connected graph admits a nowhere-zero $3$-flow. We prove that this conjecture is true for every Cayley graph of valency at least four on any supersolvable group with a noncyclic Sylow $2$-subgroup and every Cayley graph of valency at least four on any group whose derived subgroup is of square-free order.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-06T14:11:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cayley graph",
      "supersolvable group",
      "nowhere-zero",
      "edge-connected graph admits",
      "conjecture asserts"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}