{
  "abstract": "The DP color function $P_{DP}(\\mathcal{H}, k)$ of a hypergraph $\\mathcal{H}$ is defined as the minimum possible value of $P_{DP}(\\mathcal{H}, \\mathcal{F})$ taken over all $k$-fold covers $\\mathcal{F}$ of $\\mathcal{H}$. It serves as an extension of the classical chromatic polynomial. In this paper, we investigate the DP color function for two constructions: the join of a hypergraph with a complete graph and vertex-gluings of certain hypergraphs. Both constructions extend some results of Becker et al.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13458",
  "author_total": 3,
  "authors": [
    {
      "name": "Ruiyi Cui"
    },
    {
      "name": "Liangxia Wan"
    },
    {
      "name": "Fengming Dong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fys64k0rqv7ym.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13458",
  "fulltext_url": null,
  "id": "fys64k0rqv7ym",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13458",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "1703|Advanced Graph Theory Research"
    ]
  ],
  "openalex": "W7221527414",
  "pdf_url": "https://arxiv.org/pdf/2610.13458",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fys64k0rqv7ym.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.13458",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13458"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "The DP color function of joins and vertex-gluing of hypergraphs",
  "title_text": "The DP color function of joins and vertex-gluing of hypergraphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/fys64k0rqv7ym",
  "venue": "arXiv",
  "versions": []
}