{
  "abstract": "In this paper, we investigate the relation between t-embeddings and T-graphs associated with the same weighted planar bipartite graph. We prove that, given such a T-graph, the corresponding t-embeddings are classified by positive stationary measures on this T-graph and describe a reconstruction procedure of the t-embedding given such a measure. As an application, we develop an approach for constructing t-embeddings of arbitrary sufficiently non-degenerate planar bipartite graphs.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.24180",
  "author_total": 3,
  "authors": [
    {
      "name": "Mikhail Basok"
    },
    {
      "name": "Benoit Laslier"
    },
    {
      "name": "Marianna Russkikh"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1xdsmfz26d017.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.24180",
  "fulltext_url": null,
  "id": "1xdsmfz26d017",
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  "landing_url": "https://arxiv.org/abs/2610.24180",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
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      "arxiv",
      "math.CO"
    ],
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      "arxiv",
      "math.MP"
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    [
      "openalex",
      "2607|Advanced Combinatorial Mathematics"
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  "openalex": "W7223067434",
  "pdf_url": "https://arxiv.org/pdf/2610.24180",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1xdsmfz26d017.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.24180",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.24180"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "T-embeddings as stationary measures on T-graphs",
  "title_text": "T-embeddings as stationary measures on T-graphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/1xdsmfz26d017",
  "venue": "arXiv",
  "versions": []
}