Article Instance

HTTP 200 OK
Allow: GET
Content-Type: application/json
Vary: Accept

{
    "pk": 65018,
    "title": "The Ehrhart \\(h^\\ast\\)-polynomials of positroid polytopes",
    "subtitle": null,
    "abstract": "A positroid is a matroid realized by a matrix such that all maximal minors are non-negative. Positroid polytopes are matroid polytopes of positroids. In particular, they are lattice polytopes. The Ehrhart polynomial of a lattice polytope counts the number of integer points in the dilation of that polytope. The Ehrhart series is the generating function of the Ehrhart polynomial, which is a rational function with the numerator called the \\(h^\\ast\\)-polynomial. We compute the \\(h^\\ast\\)-polynomials of an arbitrary positroid polytope by a family of shelling orders of it. We also compute the \\(h^\\ast\\)-polynomial of any positroid polytope with some facets removed and we relate it to the descents of permutations. Our result generalizes that of Early, Kim, and Li for hypersimplices.\n \nMathematics Subject Classifications: 05B35\n \nKeywords: Positroid, Ehrhart theory",
    "language": "en",
    "license": {
        "name": "Creative Commons Attribution 4.0",
        "short_name": "CC BY 4.0",
        "text": "Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.\n\nNo additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.",
        "url": "https://creativecommons.org/licenses/by/4.0"
    },
    "keywords": [
        {
            "word": "Positroid"
        },
        {
            "word": "Ehrhart theory"
        }
    ],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/23r1q46s",
    "frozenauthors": [
        {
            "first_name": "Yuhan",
            "middle_name": "",
            "last_name": "Jiang",
            "name_suffix": "",
            "institution": "Department of Mathematics, Harvard University, Cambridge Massachusetts, U.S.A.",
            "department": ""
        }
    ],
    "date_submitted": "2026-02-02T08:58:58Z",
    "date_accepted": "2026-02-02T08:58:58Z",
    "date_published": "2025-12-20T08:00:00Z",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/65018/galley/49828/download/"
        }
    ]
}