{
  "abstract": "A hereditary graph class has strongly edge-sublinear separators if, for some constant $0 \\leqslant b < 1$, every graph in the class with $m$ edges admits a balanced separator of size $\\mathcal O(m^b)$. We show that Max Weight Independent Set (MWIS) admits a deterministic quasipolynomial-time approximation scheme (QPTAS) on every such class. In particular, this applies to graphs excluding any fixed graph as an induced minor, by a separator theorem of Korhonen and Lokshtanov [SODA 2024]. Our theorem generalizes the QPTASes for axis-parallel rectangles [Adamaszek and Wiese, FOCS 2013] and polygons [Adamaszek, Har-Peled, and Wiese, JACM 2019], or equivalently for packing connected subgraphs of a planar graph [Pilipczuk, van Leeuwen, and Wiese, Algorithmica 2020]. It also generalizes the QPTAS for MWIS on hereditary classes with strongly sublinear separators measured in vertices [Dvořák, EJC 2018; Dvořák and Lahiri, ESA 2021], as well as the QPTASes for graphs excluding particular induced minors [Chudnovsky et al., arXiv 2025; Bonnet et al., SWAT 2026; Czyżewska et al., arXiv 2026].",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.16025",
  "author_total": 2,
  "authors": [
    {
      "name": "Édouard Bonnet"
    },
    {
      "name": "Yeonsu Chang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/64rd3zakb5y8d.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.16025",
  "fulltext_url": null,
  "id": "64rd3zakb5y8d",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.16025",
  "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",
      "cs.DM"
    ],
    [
      "arxiv",
      "cs.DS"
    ],
    [
      "arxiv",
      "cs.LO"
    ],
    [
      "arxiv",
      "math.CO"
    ],
    [
      "openalex",
      "1703|Advanced Graph Theory Research"
    ]
  ],
  "openalex": "W7221798081",
  "pdf_url": "https://arxiv.org/pdf/2610.16025",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/64rd3zakb5y8d.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.16025",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.16025"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CO",
      "subfield": "combinatorics"
    }
  ],
  "title": "QPTAS for Max Weight Independent Set in Graphs with Strongly Edge-Sublinear Separators",
  "title_text": "QPTAS for Max Weight Independent Set in Graphs with Strongly Edge-Sublinear Separators",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/64rd3zakb5y8d",
  "venue": "arXiv",
  "versions": []
}