{
  "abstract": "We are interested in the molecule reduction algorithm used by Deng, Hani and Ma. This algorithm allows them to establish a rigidity theorem, which plays a central role in the long-time derivation of the Boltzmann equation using the hard-sphere dynamics. In the present article, we show that this algorithm is a graph traversal algorithm of Kruskal type, and we prove that it constructs a Kruskal spanning tree of the input molecule.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.38061",
  "author_total": 2,
  "authors": [
    {
      "name": "Yvain Bruned"
    },
    {
      "name": "Valentin Clarisse"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7spc0zas8z3bg.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.38061",
  "fulltext_url": null,
  "id": "7spc0zas8z3bg",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.38061",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.AP"
    ],
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      "arxiv",
      "math.MP"
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      "arxiv",
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      "openalex",
      "2604|Gas Dynamics and Kinetic Theory"
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  "openalex": "W7214911814",
  "pdf_url": "https://arxiv.org/pdf/2609.38061",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7spc0zas8z3bg.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:31Z",
      "native_id": "2609.38061",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.38061"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.PR",
      "subfield": "probability"
    }
  ],
  "title": "Kruskal-style algorithm for Boltzmann equation molecule reduction",
  "title_text": "Kruskal-style algorithm for Boltzmann equation molecule reduction",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:36Z",
  "url": "https://research.draconitic.com/paper/7spc0zas8z3bg",
  "venue": "arXiv",
  "versions": []
}