{
  "id": "0904.1757",
  "version": "v1",
  "published": "2009-04-10T21:54:19.000Z",
  "updated": "2009-04-10T21:54:19.000Z",
  "title": "The Hypercube of Resistors, Asymptotic Expansions, and Preferential Arrangements",
  "authors": [
    "Nicholas Pippenger"
  ],
  "comment": "14 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "Motivated by the problem of finding resistances among vertices in a hypercube, we derive exact expressions, generating functions, and asymptotic expansions for these resistances, then study the combinatorial interpretations of the coefficients arising in these asymptotic expansions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-10T21:54:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15"
    ],
    "keywords": [
      "asymptotic expansions",
      "preferential arrangements",
      "derive exact expressions",
      "combinatorial interpretations",
      "finding resistances"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.1757P"
    }
  }
}