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{
    "pk": 64996,
    "title": "Positroid envelopes and graphic positroids",
    "subtitle": null,
    "abstract": "Positroids are matroids realizable by real matrices with all nonnegative maximal minors. They partition the ordered matroids into equivalence classes, called positroid envelope classes, by their Grassmann necklaces. We give an explicit graph construction that shows that every positroid envelope class contains a graphic matroid. We prove that a graphic positroid is the unique matroid in its positroid envelope class. Finally, we show that every graphic positroid has an oriented graph representable by a signed incidence matrix with all nonnegative minors.\n \nMathematics Subject Classifications: 05B35\n \nKeywords: Graphic positroids, positroids, decorated permutations",
    "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": "Graphic positroids"
        },
        {
            "word": "positroids"
        },
        {
            "word": "decorated permutations"
        }
    ],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/6h09q7vq",
    "frozenauthors": [
        {
            "first_name": "Jeremy",
            "middle_name": "",
            "last_name": "Quail",
            "name_suffix": "",
            "institution": "Department of Mathematics and Statistics, University of Vermont, Burlington, Vermont, U.S.A.",
            "department": ""
        },
        {
            "first_name": "Puck",
            "middle_name": "",
            "last_name": "Rombach",
            "name_suffix": "",
            "institution": "Department of Mathematics and Statistics, University of Vermont, Burlington, Vermont, U.S.A.",
            "department": ""
        }
    ],
    "date_submitted": "2025-09-12T09:53:37Z",
    "date_accepted": "2025-09-12T09:53:37Z",
    "date_published": "2025-09-15T07:00:00Z",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64996/galley/49806/download/"
        }
    ]
}