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{
    "pk": 64917,
    "title": "A horizontal-strip LLT polynomial is determined by its weighted graph",
    "subtitle": null,
    "abstract": "We prove that two horizontal-strip LLT polynomials are equal if the associated weighted graphs defined by the author in a previous paper are isomorphic. This provides a sufficient condition for equality of horizontal-strip LLT polynomials and yields a well-defined LLT polynomial indexed by a weighted graph. We use this to prove some new relations between LLT polynomials and we explore a connection with extended chromatic symmetric functions.\n \nMathematics Subject Classifications: 05E05, 05E10, 05C15\n \nKeywords: Chromatic symmetric function, LLT polynomial, Hall-Littlewood polynomial, interval graph, Schur function, weighted graph",
    "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": "Chromatic symmetric function"
        },
        {
            "word": "LLT polynomial"
        },
        {
            "word": "Hall-Littlewood polynomial"
        },
        {
            "word": "interval graph"
        },
        {
            "word": "Schur function"
        },
        {
            "word": "weighted graph"
        }
    ],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/2sn420w1",
    "frozenauthors": [
        {
            "first_name": "Foster",
            "middle_name": "",
            "last_name": "Tom",
            "name_suffix": "",
            "institution": "Department of Mathematics, Massachusetts Institute of Technology, Cambridge, U.S.A.",
            "department": ""
        }
    ],
    "date_submitted": "2023-12-22T14:05:26Z",
    "date_accepted": "2023-12-22T14:05:26Z",
    "date_published": "2023-12-22T08:00:00Z",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64917/galley/49727/download/"
        }
    ]
}