{
  "id": "1512.02563",
  "version": "v1",
  "published": "2015-12-08T17:41:40.000Z",
  "updated": "2015-12-08T17:41:40.000Z",
  "title": "The combinatorial geometry of stresses in frameworks",
  "authors": [
    "O. Karpenkov"
  ],
  "comment": "44 pages, 30 pictures",
  "categories": [
    "math.MG",
    "math.CO"
  ],
  "abstract": "In this paper we formulate and prove necessary and sufficient geometric conditions for existence of generic tensegrities in the plane for arbitrary graphs. The conditions are written in terms of \"meet-join\" relations for the configuration spaces of fixed points and non-fixed lines through fixed points.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-08T17:41:40.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52C30",
      "05C10"
    ],
    "keywords": [
      "combinatorial geometry",
      "frameworks",
      "fixed points",
      "sufficient geometric conditions",
      "configuration spaces"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}