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{
    "pk": 64869,
    "title": "Labelled well-quasi-order for permutation classes",
    "subtitle": null,
    "abstract": "While the theory of labelled well-quasi-order has received significant attention in the graph setting, it has not yet been considered in the context of permutation patterns. We initiate this study here, and show how labelled well quasi order provides a lens through which to view and extend previous well-quasi-order results in the permutation patterns literature. Connections to the graph setting are emphasised throughout. In particular, we establish that a permutation class is labelled well-quasi-ordered if and only if its corresponding graph class is also labelled well-quasi-ordered.\n \nMathematics Subject Classifications: 05A05, 06A07\n \nKeywords: Labelled well-quasi-order, permutation patterns, well-quasi-order",
    "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": "Labelled well-quasi-order"
        },
        {
            "word": "permutation patterns"
        },
        {
            "word": "well-quasi-order"
        }
    ],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/8579b1dq",
    "frozenauthors": [
        {
            "first_name": "Robert",
            "middle_name": "",
            "last_name": "Brignall",
            "name_suffix": "",
            "institution": "School of Mathematics and Statistics, The Open University, Milton Keynes, England, U.K.",
            "department": ""
        },
        {
            "first_name": "Vincent",
            "middle_name": "",
            "last_name": "Vatter",
            "name_suffix": "",
            "institution": "Department of Mathematics, University of Florida, Gainesville, Florida, U.S.A.",
            "department": ""
        }
    ],
    "date_submitted": "2022-10-13T06:24:46Z",
    "date_accepted": "2022-10-13T06:24:46Z",
    "date_published": "2022-10-15T07:00:00Z",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64869/galley/49679/download/"
        }
    ]
}