{
  "abstract": "The $s$-vertex expansion hypergraph $G^{[s]}$ is the $2s$-uniform hypergraph obtained by replacing each vertex of a graph $G$ with $s$ new vertices. A closed walk in $G$ is called an $s$-multiple closed walk if the number of times it arrives at each vertex of $G$ is divisible by $s$. In this paper, we obtain an expression for the spectral moments of $G^{[s]}$ in terms of $s$-multiple closed walks in $G$. Using these spectral moments, we give the characteristic polynomial of $G^{[s]}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.05897",
  "author_total": 2,
  "authors": [
    {
      "name": "Ge Lin"
    },
    {
      "name": "Changjiang Bu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/48zt0wb4way6m.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.05897",
  "fulltext_url": null,
  "id": "48zt0wb4way6m",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.05897",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "2608|Graph theory and applications"
    ]
  ],
  "openalex": "W7211985711",
  "pdf_url": "https://arxiv.org/pdf/2609.05897",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/48zt0wb4way6m.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:58Z",
      "native_id": "2609.05897",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.05897"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Spectral moments and characteristic polynomials of vertex expansion hypergraphs of graphs",
  "title_text": "Spectral moments and characteristic polynomials of vertex expansion hypergraphs of graphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:58Z",
  "url": "https://research.draconitic.com/paper/48zt0wb4way6m",
  "venue": "arXiv",
  "versions": []
}