{
  "abstract": "Graph burning is a deterministic discrete-time process that models the propagation of information within a network as a set of fires that spread in a graph. The associated graph parameter, the burning number, measures the speed of that spread. The smaller the burning number of a graph is, the faster information spreads in the corresponding network. In this paper, we mainly study the burning number from a structural point of view. In particular, we structurally characterize all graphs with burning number 2. We then proceed to compute the burning number of split graphs and $\\{ K_2+2K_1, P_4, C_4\\}$-free graphs. In particular, we show that connected split graphs and connected $\\{ K_2+2K_1, P_4, C_4\\}$-free graphs are well-burnable. Lastly, we provide a blueprint on how to investigate the burning number of a given social network.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.04178",
  "author_total": 2,
  "authors": [
    {
      "name": "Jean Guillaume"
    },
    {
      "name": "Tyriana Williams"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/42rmy8ghy34bp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.04178",
  "fulltext_url": null,
  "id": "42rmy8ghy34bp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.04178",
  "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.CO"
    ],
    [
      "openalex",
      "1703|Advanced Graph Theory Research"
    ]
  ],
  "openalex": "W7163520841",
  "pdf_url": "https://arxiv.org/pdf/2606.04178",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/42rmy8ghy34bp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:26:50Z",
      "native_id": "2606.04178",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.04178"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "A Structural Approach to Burning Number",
  "title_text": "A Structural Approach to Burning Number",
  "type": "preprint",
  "updated_at": "2026-10-30T12:26:50Z",
  "url": "https://research.draconitic.com/paper/42rmy8ghy34bp",
  "venue": "arXiv",
  "versions": []
}