{
  "abstract": "Quadratic Unconstrained Binary Optimization (QUBO) problems and their variant with a fixed cardinality constraint are both well-known NP-hard problems. While certain structural properties of the cost matrix can make some QUBO instances solvable in polynomial time, this advantage typically disappears once a cardinality constraint is added. In this work, we investigate specific structural conditions on the cost matrix under which the constrained version-quadratic binary optimization with a fixed cardinality-remains tractable.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.41560",
  "author_total": 2,
  "authors": [
    {
      "name": "Thi Thanh Tu Le"
    },
    {
      "name": "Thorsten Koch"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0fvcwavraphq0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.41560",
  "fulltext_url": null,
  "id": "0fvcwavraphq0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.41560",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.OC"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.41560",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0fvcwavraphq0.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2610.41560",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.41560"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.OC",
      "subfield": "optimisation-control"
    }
  ],
  "title": "Polynomially Solvable Cases of the Quadratic Binary Optimization Problem with a Fixed Cardinality Constraint",
  "title_text": "Polynomially Solvable Cases of the Quadratic Binary Optimization Problem with a Fixed Cardinality Constraint",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:52Z",
  "url": "https://research.draconitic.com/paper/0fvcwavraphq0",
  "venue": "arXiv",
  "versions": []
}