{
  "abstract": "We generalize a construction of Herzog and Takayama pertaining to differential graded algebra structures on mapping cones. Via this generalization, we provide the minimal free resolution of the edge ideal of a new graph built from suspension over a vertex cover of an old graph, and we discuss when this process preserves differential graded algebra structure on the respective resolutions.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.34020",
  "author_total": 4,
  "authors": [
    {
      "name": "Hugh Geller"
    },
    {
      "name": "Desiree Martin"
    },
    {
      "name": "Matthew Mastroeni"
    },
    {
      "name": "Henry Potts-Rubin"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5te8tspk9s57p.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.34020",
  "fulltext_url": null,
  "id": "5te8tspk9s57p",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.34020",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AC"
    ],
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "2602|Commutative Algebra and Its Applications"
    ]
  ],
  "openalex": "W7214738246",
  "pdf_url": "https://arxiv.org/pdf/2609.34020",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-27",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5te8tspk9s57p.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2609.34020",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.34020"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AC",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "DG Algebra Structures on Mapping Cones with an Application to Edge Ideals",
  "title_text": "DG Algebra Structures on Mapping Cones with an Application to Edge Ideals",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/5te8tspk9s57p",
  "venue": "arXiv",
  "versions": []
}