{
  "id": "0901.4299",
  "version": "v1",
  "published": "2009-01-27T17:49:51.000Z",
  "updated": "2009-01-27T17:49:51.000Z",
  "title": "Triangle-Free Triangulations",
  "authors": [
    "Ron M. Adin",
    "Marcelo Firer",
    "Yuval Roichman"
  ],
  "comment": "18 pages",
  "categories": [
    "math.CO",
    "math.GR"
  ],
  "abstract": "The flip operation on colored inner-triangle-free triangulations of a convex polygon is studied. It is shown that the affine Weyl group $\\widetilde{C}_n$ acts transitively on these triangulations by colored flips, and that the resulting colored flip graph is closely related to a lower interval in the weak order on $\\widetilde{C}_n$. Lattice properties of this order are then applied to compute the diameter.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-01-27T17:49:51.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "affine weyl group",
      "weak order",
      "colored inner-triangle-free triangulations",
      "lower interval",
      "convex polygon"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}