{
  "abstract": "A long-standing question is whether chromatic symmetric functions can distinguish non-isomorphic trees. Campbell introduced chromatic noncommutative symmetric functions for digraphs, which lift chromatic symmetric functions to NSym, and asked to what extent they can distinguish non-isomorphic oriented trees. In this article, we prove that chromatic noncommutative symmetric functions can reconstruct oriented stars, oriented double stars, some oriented caterpillars, and some oriented paths.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.03436",
  "author_total": 2,
  "authors": [
    {
      "name": "Lingxiao Hao"
    },
    {
      "name": "Shenglin Zhu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/eg6pw10yf8dy5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.03436",
  "fulltext_url": null,
  "id": "eg6pw10yf8dy5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.03436",
  "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",
      "2607|Advanced Combinatorial Mathematics"
    ]
  ],
  "openalex": "W7163402886",
  "pdf_url": "https://arxiv.org/pdf/2606.03436",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/eg6pw10yf8dy5.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:19:57Z",
      "native_id": "2606.03436",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.03436"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "The chromatic noncommutative symmetric function of oriented trees",
  "title_text": "The chromatic noncommutative symmetric function of oriented trees",
  "type": "preprint",
  "updated_at": "2026-10-30T12:19:57Z",
  "url": "https://research.draconitic.com/paper/eg6pw10yf8dy5",
  "venue": "arXiv",
  "versions": []
}