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{
    "pk": 64964,
    "title": "Tamari intervals and blossoming trees",
    "subtitle": null,
    "abstract": "We introduce a simple bijection between Tamari intervals and the blossoming trees (Poulalhon and Schaeffer, 2006) encoding planar triangulations, using a new meandering representation of such trees. Its specializations to the families of synchronized, Kreweras, new/modern, and infinitely modern intervals give a combinatorial proof of the counting formula for each family. Compared to (Bernardi and Bonichon, 2009), our bijection behaves well with the duality of Tamari intervals, also enabling the counting of self-dual intervals.\n \nMathematics Subject Classifications: 05A15, 05A19\n \nKeywords: Tamari intervals, blossoming trees, enumeration, duality",
    "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": "Tamari intervals"
        },
        {
            "word": "blossoming trees"
        },
        {
            "word": "enumeration"
        },
        {
            "word": "duality"
        }
    ],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/7sj6f8jp",
    "frozenauthors": [
        {
            "first_name": "Wenjie",
            "middle_name": "",
            "last_name": "Fang",
            "name_suffix": "",
            "institution": "Univ Gustave Eiffel, CNRS, LIGM, F-77454 Marne-la-Vallée, France",
            "department": ""
        },
        {
            "first_name": "Éric",
            "middle_name": "",
            "last_name": "Fusy",
            "name_suffix": "",
            "institution": "Univ Gustave Eiffel, CNRS, LIGM, F-77454 Marne-la-Vallée, France",
            "department": ""
        },
        {
            "first_name": "Philippe",
            "middle_name": "",
            "last_name": "Nadeau",
            "name_suffix": "",
            "institution": "Univ Lyon, CNRS, Université Claude Bernard Lyon 1, Institut Camille Jordan, F69622 Villeurbanne Cedex, France",
            "department": ""
        }
    ],
    "date_submitted": "2025-03-14T19:21:15+03:00",
    "date_accepted": "2025-03-14T19:21:15+03:00",
    "date_published": "2025-03-15T10:00:00+03:00",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64964/galley/49774/download/"
        }
    ]
}