{
  "id": "math/0403216",
  "version": "v1",
  "published": "2004-03-12T20:09:33.000Z",
  "updated": "2004-03-12T20:09:33.000Z",
  "title": "Rank three matroids are Rayleigh",
  "authors": [
    "David G. Wagner"
  ],
  "comment": "11 pages, 3 figures, 3 tables",
  "categories": [
    "math.CO"
  ],
  "abstract": "A Rayleigh matroid is one which satisfies a set of inequalities analogous to the Rayleigh monotonicity property of linear resistive electrical networks. We show that every matroid of rank three satisfies these inequalities.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-03-12T20:09:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B35",
      "60C05"
    ],
    "keywords": [
      "rayleigh monotonicity property",
      "inequalities",
      "rayleigh matroid",
      "linear resistive electrical networks"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......3216W"
    }
  }
}