{
  "abstract": "On the set of unweighted directed graphs on $n$ vertices, the union of graphs is defined as the union of their arc sets. A mapping of graphs is said to be additive if it preserves the union operation. In this paper, a characterization of additive mappings of unweighted directed graphs preserving a fixed value $k \\geq 3$ of the cycle length is obtained.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00702",
  "author_total": 3,
  "authors": [
    {
      "name": "Alexander Vlasov"
    },
    {
      "name": "Alexander Guterman"
    },
    {
      "name": "Svetlana Zhilina"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ermbjee63ye7s.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00702",
  "fulltext_url": null,
  "id": "ermbjee63ye7s",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00702",
  "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/2611.00702",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ermbjee63ye7s.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.00702",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00702"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Additive mappings of unweighted directed graphs preserving individual values of the cycle length",
  "title_text": "Additive mappings of unweighted directed graphs preserving individual values of the cycle length",
  "type": "preprint",
  "updated_at": "2026-11-04T15:21:05Z",
  "url": "https://research.draconitic.com/paper/ermbjee63ye7s",
  "venue": "arXiv",
  "versions": []
}