{
  "abstract": "Stein conjectured that for any integer $k\\geq 2$, every oriented graph with minimum semidegree greater than $k/2$ contains every orientation of a path with $k$ edges. Recently, Chen, Hou and Zhou proved this conjecture to be true for any oriented path with two blocks, where a block of an oriented path is a maximal directed subpath within it. In this paper, we prove that every bipartite oriented graph with minimum semidegree at least $3k/8+2$ contains every oriented path with two blocks of length $k$ for $k\\ge 2$. Moreover, in contrast to the general oriented setting, we highlight that the minimum semidegree threshold in the bipartite setting is closely related to the number of blocks.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.09935",
  "author_total": 4,
  "authors": [
    {
      "name": "Bin Chen"
    },
    {
      "name": "Meishuang Chen"
    },
    {
      "name": "Xinmin Hou"
    },
    {
      "name": "Xinyu Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5vq3snrt87krt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.09935",
  "fulltext_url": null,
  "id": "5vq3snrt87krt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.09935",
  "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|Limits and Structures in Graph Theory"
    ]
  ],
  "openalex": "W7212189575",
  "pdf_url": "https://arxiv.org/pdf/2609.09935",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5vq3snrt87krt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:15Z",
      "native_id": "2609.09935",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.09935"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "Oriented paths with two blocks in bipartite oriented graphs",
  "title_text": "Oriented paths with two blocks in bipartite oriented graphs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:15Z",
  "url": "https://research.draconitic.com/paper/5vq3snrt87krt",
  "venue": "arXiv",
  "versions": []
}