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{
    "pk": 64837,
    "title": "$F$- and $H$-triangles for $\\nu$-associahedra",
    "subtitle": null,
    "abstract": "For any northeast path $\\nu$, we define two bivariate polynomials associated with the $\\nu$-associahedron: the $F$- and the $H$-triangle. We prove combinatorially that we can obtain one from the other by an invertible transformation of variables. These polynomials generalize the classical $F$- and $H$-triangles of F. Chapoton in type $A$. Our proof is completely new and has the advantage of providing a combinatorial explanation of the relation between the $F$- and $H$-triangle.\n \nMathematics Subject Classifications: 05E45, 52B05\nKeywords: $\\nu$-Tamari lattice, $\\nu$-associahedron, $F$-triangle, $H$-triangle",
    "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": "$\\nu$-Tamari lattice"
        },
        {
            "word": "$\\nu$-associahedron"
        },
        {
            "word": "$F$-triangle"
        },
        {
            "word": "$H$-triangle"
        }
    ],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/2vq6z17j",
    "frozenauthors": [
        {
            "first_name": "Cesar",
            "middle_name": "",
            "last_name": "Ceballos",
            "name_suffix": "",
            "institution": "TU Graz, Institut für Geometrie, Kopernikusgasse 24, 8010 Graz, Austria",
            "department": ""
        },
        {
            "first_name": "Henri",
            "middle_name": "",
            "last_name": "Mühle",
            "name_suffix": "",
            "institution": "TU Dresden, Institut für Algebra, Zellescher Weg 12-14, 01069 Dresden, Germany",
            "department": ""
        }
    ],
    "date_submitted": "2022-06-22T16:00:56Z",
    "date_accepted": "2022-06-22T16:00:56Z",
    "date_published": "2022-06-30T07:00:00Z",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64837/galley/49647/download/"
        }
    ]
}