{
  "abstract": "A modulo $k$-orientation of a signed graph is an orientation in which the outdegree and indegree are congruent modulo $k$ at every vertex. We show that, for every odd integer $k\\ge3$, every essentially $k$-unbalanced $(6k-10)$-edge-connected signed graph admits a modulo $k$-orientation. This improves the edge-connectivity bound of Zhu [JCTB, 112 (2015)] from $6k-7$ to $6k-10$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.42019",
  "author_total": 4,
  "authors": [
    {
      "name": "You Lu"
    },
    {
      "name": "Zhengke Miao"
    },
    {
      "name": "Zhenyu Tian"
    },
    {
      "name": "Cun-Quan Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dbmjav8xnk4nj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.42019",
  "fulltext_url": null,
  "id": "dbmjav8xnk4nj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.42019",
  "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/2610.42019",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dbmjav8xnk4nj.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2610.42019",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.42019"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Modulo k-orientations of highly edge-connected signed graphs",
  "title_text": "Modulo k-orientations of highly edge-connected signed graphs",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:53Z",
  "url": "https://research.draconitic.com/paper/dbmjav8xnk4nj",
  "venue": "arXiv",
  "versions": []
}