{
  "abstract": "We generalize Bernardi's embedding activity definition for the Tutte polynomial from graphs to hypergraphs, and Gordon-Traldi-McMahon's computation-tree activities from matroids to polymatroids. Furthermore, we introduce a new variant of computation-tree activities, and show that they also yield a definition for the polymatroid Tutte polynomial. In all three cases, the key is to show that the given activity notion yields a Crapo decomposition. We also examine the relationship of these activity notions, and pose some questions about them.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Lilla Tóthmérész"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/er8zq31acs6wh.bib",
  "cited_by": 0,
  "doi": "10.37236/13306",
  "fulltext_url": null,
  "id": "er8zq31acs6wh",
  "issns": [
    "1077-8926"
  ],
  "landing_url": "https://www.combinatorics.org/ojs/index.php/eljc/article/view/v33i4p7",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "journal",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2607|Advanced Combinatorial Mathematics"
    ]
  ],
  "openalex": "W7221031288",
  "pdf_url": "https://www.combinatorics.org/ojs/index.php/eljc/article/download/v33i4p7/pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": "The Electronic Journal of Combinatorics",
  "ris": "https://research.draconitic.com/paper/er8zq31acs6wh.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:24Z",
      "native_id": "10.37236/13306",
      "source": "crossref",
      "url": "https://www.combinatorics.org/ojs/index.php/eljc/article/view/v33i4p7"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2607|Advanced Combinatorial Mathematics",
      "subfield": "combinatorics"
    }
  ],
  "title": "The Two-Variable Hypergraph Tutte Polynomial via Embedding Activities and Computation-Tree Activities",
  "title_text": "The Two-Variable Hypergraph Tutte Polynomial via Embedding Activities and Computation-Tree Activities",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:24Z",
  "url": "https://research.draconitic.com/paper/er8zq31acs6wh",
  "venue": "The Electronic Journal of Combinatorics",
  "versions": []
}