{
  "id": "math/0607194",
  "version": "v1",
  "published": "2006-07-07T13:47:58.000Z",
  "updated": "2006-07-07T13:47:58.000Z",
  "title": "Groebner Bases for Transportation Polytopes",
  "authors": [
    "Christian Haase",
    "Andreas Paffenholz"
  ],
  "comment": "11 pages",
  "categories": [
    "math.CO",
    "math.AC",
    "math.AG"
  ],
  "abstract": "The toric ideals of $3\\times 3$ transportation polytopes $T$ are quadratically generated. The only exception is the Birkhoff polytope $B_3$. If $T$ is not a multiple of $B_3$, these ideals even have squarefree quadratic initial ideals. This class contains all smooth $3 \\times 3$ transportation polytopes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-07-07T13:47:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B20",
      "14M25",
      "13P10"
    ],
    "keywords": [
      "transportation polytopes",
      "groebner bases",
      "squarefree quadratic initial ideals",
      "birkhoff polytope",
      "toric ideals"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......7194H"
    }
  }
}