{
  "id": "1310.6903",
  "version": "v1",
  "published": "2013-10-25T13:13:34.000Z",
  "updated": "2013-10-25T13:13:34.000Z",
  "title": "Positivstellensätze for Quantum Multigraphs",
  "authors": [
    "Tim Netzer",
    "Andreas Thom"
  ],
  "categories": [
    "math.AG",
    "math.CO"
  ],
  "abstract": "Studying inequalities between subgraph- or homomorphism-densities is an important topic in graph theory. Sums of squares techniques have proven useful in dealing with such questions. Using an approach from real algebraic geometry, we strengthen a Positivstellensatz for simple quantum graphs by Lov\\'asz and Szegedy, and we prove several new Positivstellens\\\"atze for nonnegativity of quantum multigraphs. We provide new examples and counterexamples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-25T13:13:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "quantum multigraphs",
      "positivstellensätze",
      "real algebraic geometry",
      "simple quantum graphs",
      "graph theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.6903N"
    }
  }
}