{
  "abstract": "Motivated by the Kruskal counting procedure, this paper investigates a combinatorial elimination process defined on a deck consisting of $m$ copies of each value $1,2,\\ldots,n$. Starting from an arbitrary arrangement of the $mn$ cards, the process repeatedly removes a number of consecutive cards equal to the value of the first remaining card. This generates a sequence of elimination steps whose length determines $T$, representing the total number of iterations required to exhaust the deck. The main objective of this paper is to analyze an upper bound $σ(m,n)$ for $T$, valid for every initial configuration of the deck, and to show that this bound is attained by a specific configuration.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.29015",
  "author_total": 1,
  "authors": [
    {
      "name": "Samuel G. Corregidor"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1qrmabky6ah2k.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.29015",
  "fulltext_url": null,
  "id": "1qrmabky6ah2k",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.29015",
  "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": "W7223240803",
  "pdf_url": "https://arxiv.org/pdf/2610.29015",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1qrmabky6ah2k.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:22Z",
      "native_id": "2610.29015",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.29015"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "On the Number of Iterations in a Kruskal-Type Process",
  "title_text": "On the Number of Iterations in a Kruskal-Type Process",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/1qrmabky6ah2k",
  "venue": "arXiv",
  "versions": []
}