{
  "annotation_id": "4cc43cad-2263-4922-87cc-ac28264a661a",
  "date_created": "2026-02-17T05:53:15.097000Z",
  "date_modified": "2026-02-17T05:53:15.097000Z",
  "file_hash": "c7d429c0657c49f43c974e1eb657afeb3b88b55dcd2860815db339f82acdf087",
  "private": false,
  "record": {
    "abstract": "In this paper we establish an asymptotic formula for the signless Laplacian spectral radius of a $2$-dimensional simplicial complex with given $2$-th Betti number. Furthermore, we characterize the $2$-dimensional simplicial complex that achieves the maximum signless Laplacian spectral radius among all-dimensional simplicial complex with the $2$-th Betti number equal to $1$ or $2$.",
    "arxiv_id": "2601.08171",
    "authors": [
      "Chuan-Ming She",
      "Yi-Zheng Fan",
      "Yi-Min Song"
    ],
    "categories": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Spectral radius of $2$-dimensional simplicial complexes with given Betti number",
    "url": "https://arxiv.org/abs/2601.08171",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "264f70c9-bc33-4cd2-b1b1-1665a252314c",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}