{
  "id": "1409.2742",
  "version": "v1",
  "published": "2014-09-09T13:58:04.000Z",
  "updated": "2014-09-09T13:58:04.000Z",
  "title": "Ehrhart Series of Polytopes Related to Symmetric Doubly-Stochastic Matrices",
  "authors": [
    "Robert Davis"
  ],
  "comment": "10 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "In Ehrhart theory, the $h^*$-vector of a rational polytope often provide insights into properties of the polytope that may be otherwise obscured. As an example, the Birkhoff polytope, also known as the polytope of real doubly-stochastic matrices, has a unimodal $h^*$-vector, but when even small modifications are made to the polytope, the same property can be very difficult to prove. In this paper, we examine the $h^*$-vectors of a class of polytopes containing real doubly-stochastic symmetric matrices.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-09T13:58:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "52B20"
    ],
    "keywords": [
      "symmetric doubly-stochastic matrices",
      "ehrhart series",
      "polytopes containing real doubly-stochastic symmetric",
      "containing real doubly-stochastic symmetric matrices"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.2742D"
    }
  }
}