{
  "id": "2303.04113",
  "version": "v2",
  "published": "2023-03-07T18:25:27.000Z",
  "updated": "2023-12-12T16:18:14.000Z",
  "title": "Ehrhart positivity for a certain class of panhandle matroids",
  "authors": [
    "Daniel McGinnis"
  ],
  "comment": "15 pages, minor revisions",
  "categories": [
    "math.CO"
  ],
  "abstract": "We give a combinatorial formula for the Ehrhart coefficients of a certain class of weighted multi-hypersimplices. In a special case, where these polytopes coincide with the base polytope of the panhandle matroid $\\textrm{Pan}_{k,n-2,n}$, we show that the Ehrhart coefficients are positive.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2023-12-12T16:18:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "52B20",
      "05A05"
    ],
    "keywords": [
      "panhandle matroid",
      "ehrhart positivity",
      "ehrhart coefficients",
      "combinatorial formula",
      "special case"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}