{
  "abstract": "We study locally finite graphs whose normalized adjacency operators belong to the C*-algebra T, the norm closure of the algebra of l1-bounded operators. We give sufficient and necessary conditions in terms of the degrees of adjacent vertices, prove stability results under finite edge perturbations and Cartesian products, and compute several examples: regular graphs, complete bipartite graphs, complete graphs with pendant leaves, subdivisions, and spherically homogeneous trees. These examples show that T-uniformity is a weak regularity condition which forbids vertices of large degree from being adjacent to too many vertices of much smaller degree.",
  "abstract_shown": true,
  "affiliations": [
    "Moscow Center for Fundamental and Applied Mathematics, Moscow State University, Leninskie Gory 1, Moscow 119991, Russia"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Vladimir Manuilov",
      "orcid": "0000-0001-7626-6882"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/90v20qvbn8gfp.bib",
  "cited_by": 0,
  "doi": "10.3390/math14193628",
  "fulltext_url": null,
  "id": "90v20qvbn8gfp",
  "issns": [
    "2227-7390"
  ],
  "landing_url": "https://www.mdpi.com/2227-7390/14/19/3628",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2610|Advanced Operator Algebra Research"
    ]
  ],
  "openalex": "W7221017027",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-07",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/90v20qvbn8gfp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:29Z",
      "native_id": "10.3390/math14193628",
      "source": "crossref",
      "url": "https://www.mdpi.com/2227-7390/14/19/3628"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Advanced Operator Algebra Research",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "On Almost Uniformly Locally Finite Graphs",
  "title_text": "On Almost Uniformly Locally Finite Graphs",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:29Z",
  "url": "https://research.draconitic.com/paper/90v20qvbn8gfp",
  "venue": "Mathematics",
  "versions": []
}