{
  "abstract": "In this paper we introduce valuated Δ -matroids, a natural generalization of two objects of study in matroid theory: valuated matroids and Δ -matroids. We show that these objects exhibit nice properties analogous to ordinary valuated matroids. We also show that these objects arise as the valuations of principal minors of a Hermitian matrix over a valued field, or equivalently from maximal isotropic subspaces of a space with Hermitian sesquilinear form, generalizing other forms of Δ -matroid representability.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematics, University of Washington, Seattle, Washington, USA"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 4,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Nathan Cheung"
    },
    {
      "affs": [
        0
      ],
      "name": "Tracy Chin"
    },
    {
      "affs": [
        0
      ],
      "name": "Gaku Liu"
    },
    {
      "affs": [
        0
      ],
      "name": "Cynthia Vinzant"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0py1amjtnzf78.bib",
  "cited_by": 0,
  "doi": "10.5802/alco.512",
  "fulltext_url": null,
  "id": "0py1amjtnzf78",
  "issns": [
    "2589-5486"
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  "landing_url": "https://alco.centre-mersenne.org/articles/10.5802/alco.512/",
  "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"
    ]
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  "openalex": "W4417439627",
  "pdf_url": "https://alco.centre-mersenne.org/item/10.5802/alco.512.pdf",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-27",
  "publisher": "MathDoc/Centre Mersenne",
  "ris": "https://research.draconitic.com/paper/0py1amjtnzf78.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:25Z",
      "native_id": "10.5802/alco.512",
      "source": "crossref",
      "url": "https://alco.centre-mersenne.org/articles/10.5802/alco.512/"
    }
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2607|Advanced Combinatorial Mathematics",
      "subfield": "combinatorics"
    }
  ],
  "title": "Valuated delta matroids and principal minors of Hermitian matrices",
  "title_text": "Valuated delta matroids and principal minors of Hermitian matrices",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:25Z",
  "url": "https://research.draconitic.com/paper/0py1amjtnzf78",
  "venue": "Algebraic Combinatorics",
  "versions": []
}