{
  "abstract": "We give a deterministic polynomial-time algorithm for the Bilu--Linial signing problem on bipartite graphs. For every finite simple bipartite graph of maximum degree at most an integer $Δ\\ge3$, the algorithm assigns signs to its edges so that the signed adjacency matrix has operator norm strictly less than $2\\sqrt{Δ-1}$. Our algorithm builds on the randomized recursive repair framework of Jadbabaie, Saberi, and Sra~\\cite{JSS26}, with deterministic rules for sign selection and vertex deletion.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.09972",
  "author_total": 1,
  "authors": [
    {
      "name": "Zhiqiang Xu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a2x94dp1xkhmq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.09972",
  "fulltext_url": null,
  "id": "a2x94dp1xkhmq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.09972",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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      "arxiv",
      "cs.CC"
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      "arxiv",
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      "arxiv",
      "math.CO"
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      "openalex",
      "2607|Limits and Structures in Graph Theory"
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  "openalex": "W7220978589",
  "pdf_url": "https://arxiv.org/pdf/2610.09972",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-26",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a2x94dp1xkhmq.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.09972",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.09972"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "A deterministic polynomial-time algorithm for the Bilu--Linial signing problem on bipartite graphs",
  "title_text": "A deterministic polynomial-time algorithm for the Bilu--Linial signing problem on bipartite graphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/a2x94dp1xkhmq",
  "venue": "arXiv",
  "versions": []
}