{
  "abstract": "A stable matching in a bipartite preference system is a matching that has no unmatched pair whose endpoints both prefer each other to their current assignments. Rothblum gave a linear description of the stable marriage polytope, the convex hull of the incidence vectors of stable matchings. We prove that this polytope is box-totally dual integral. The proof uses the affine representation of the stable marriage polytope as an order polytope together with the matricial characterization of box-TDI polyhedra. Since Kiraly and Pap proved that Rothblum's description is totally dual integral, our result further implies that Rothblum's system is box-totally dual integral.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.12720",
  "author_total": 2,
  "authors": [
    {
      "name": "Michele Barbato"
    },
    {
      "name": "Emiliano Lancini"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dgjj4vwytt6wz.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.12720",
  "fulltext_url": null,
  "id": "dgjj4vwytt6wz",
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  "landing_url": "https://arxiv.org/abs/2610.12720",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.DM"
    ],
    [
      "arxiv",
      "math.CO"
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      "openalex",
      "2002|Game Theory and Voting Systems"
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  "openalex": "W7221560541",
  "pdf_url": "https://arxiv.org/pdf/2610.12720",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dgjj4vwytt6wz.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.12720",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.12720"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "The Stable Marriage Polytope is Box-Totally Dual Integral",
  "title_text": "The Stable Marriage Polytope is Box-Totally Dual Integral",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/dgjj4vwytt6wz",
  "venue": "arXiv",
  "versions": []
}