{
  "id": "1312.2829",
  "version": "v3",
  "published": "2013-12-10T15:15:24.000Z",
  "updated": "2013-12-12T08:38:54.000Z",
  "title": "A weak form of Hadwiger's conjecture",
  "authors": [
    "Dominic van der Zypen"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We introduce the following weak version of Hadwiger's conjecture: If $G$ is a graph and $\\kappa$ is a cardinal such that there is no coloring map $c:G \\to \\kappa$, then $K_\\kappa$ is a minor of $G$. We prove that this statement is true for graphs with infinite chromatic number",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-12-12T08:38:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C15",
      "05C83"
    ],
    "keywords": [
      "hadwigers conjecture",
      "weak form",
      "infinite chromatic number",
      "weak version",
      "coloring map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1312.2829V"
    }
  }
}