{
  "id": "1305.5622",
  "version": "v1",
  "published": "2013-05-24T05:28:39.000Z",
  "updated": "2013-05-24T05:28:39.000Z",
  "title": "Two Observations on the Perturbed Wedge",
  "authors": [
    "Fred B. Holt"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "Francisco Santos has described a new construction, per- turbing apart a non-simple face, to offer a counterexample to the Hirsch Conjecture. We offer two observations about this perturbed wedge con- struction, regarding its effect on edge-paths. First, that an all-but- simple spindle of dimension d and length d + 1 is a counterexample to the nonrevisiting conjecture. Second, that there are conditions under which the perturbed wedge construction does not increase the diameter. NOTE: These are simply working notes, offering two observations on the construction identified by Santos.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-05-24T05:28:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B11"
    ],
    "keywords": [
      "observations",
      "non-simple face",
      "francisco santos",
      "hirsch conjecture",
      "simple spindle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1305.5622H"
    }
  }
}