{
  "id": "1206.2260",
  "version": "v1",
  "published": "2012-06-11T15:39:04.000Z",
  "updated": "2012-06-11T15:39:04.000Z",
  "title": "Flows on Simplicial Complexes",
  "authors": [
    "Matthias Beck",
    "Yvonne Kemper"
  ],
  "comment": "10 pages, to appear in Discrete Mathematics and Theoretical Computer Science (proceedings of FPSAC'12)",
  "journal": "Discrete Mathematics & Theoretical Computer Science Proc. AR (2012), 817-826 (Proceedings of FPSAC'12)",
  "categories": [
    "math.CO"
  ],
  "abstract": "Given a graph $G$, the number of nowhere-zero $\\ZZ_q$-flows $\\phi_G(q)$ is known to be a polynomial in $q$. We extend the definition of nowhere-zero $\\ZZ_q$-flows to simplicial complexes $\\Delta$ of dimension greater than one, and prove the polynomiality of the corresponding function $\\phi_{\\Delta}(q)$ for certain $q$ and certain subclasses of simplicial complexes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-06-11T15:39:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E45",
      "05C21"
    ],
    "keywords": [
      "simplicial complexes",
      "nowhere-zero",
      "dimension greater",
      "subclasses"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1206.2260B"
    }
  }
}