{
  "abstract": "A polytope $P$ is decomposable if it can be written as the Minkowski sum of two polytopes that are not homothetic to it. It is well known that decomposable $d$-dimensional polytopes with $2d$ or fewer vertices are the simplicial prisms. More recent work shows that, with two exceptions in low dimensions, decomposable $d$-dimensional polytopes with exactly $2d+1$ vertices are either pentasms or capped prisms. All these examples have a line segment for a summand. In this paper, we extend this conclusion to decomposable $d$-polytopes with exactly $2d+2$ or $2d+3$ vertices. In both cases, all such polytopes, with three exceptions, have a line segment for a summand. The exceptional cases are specified in detail.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07472",
  "author_total": 2,
  "authors": [
    {
      "name": "Jie Wang"
    },
    {
      "name": "David Yost"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/81nad4zv0w9p2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07472",
  "fulltext_url": null,
  "id": "81nad4zv0w9p2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07472",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CO"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07472",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/81nad4zv0w9p2.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2611.07472",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07472"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Decomposable polytopes with few vertices",
  "title_text": "Decomposable polytopes with few vertices",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:47Z",
  "url": "https://research.draconitic.com/paper/81nad4zv0w9p2",
  "venue": "arXiv",
  "versions": []
}