{
  "annotation_id": "5e333d39-7760-4c44-9c36-c2d0a662250f",
  "date_created": "2026-02-17T05:53:20.173000Z",
  "date_modified": "2026-02-17T05:53:20.173000Z",
  "file_hash": "ed0f539a9e0c3a8c07075ecca4113e14c5c14b3c9e0c9afb801235d335afef2e",
  "private": false,
  "record": {
    "abstract": "Banderier, Marchal, and Wallner considered Young tableaux with walls, which are similar to standard Young tableaux, except that local decreases are allowed at some walls. In this work, we prove a conjecture of Fuchs and Yu concerning the enumeration of two classes of three-row Young tableaux with walls. Combining with the work by Chang, Fuchs, Liu, Wallner, and Yu leads to the verification of a conjecture on tree-child networks proposed by Pons and Batle. This conjecture was regarded as a specific and challenging problem in the Phylogenetics community until it was finally resolved by the present work.",
    "arxiv_id": "2601.09551",
    "authors": [
      "Zhicong Lin",
      "Feihu Liu",
      "Jiahang Liu",
      "Jing Liu",
      "Guoce Xin"
    ],
    "categories": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "Proof of a Conjecture on Young Tableaux with Walls",
    "url": "https://arxiv.org/abs/2601.09551",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2ab6a510-521e-4130-8021-753df798e0f0",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}