{
  "abstract": "The recently developed concept of germ graphs (P. Kurasov {\\it et al.}, Phys. Rev. Research {\\bf 7}, L022071 (2025)) is employed to construct families of isocattering, non-isospectral graphs that exhibit dissipation. More specifically, a new pair of isoscattering non-isospectral graphs is constructed by connecting the existing isoscattering non-isospectral graphs, so called attachments, to the different contact vertices of the germ graph. The existing isoscattering non-isospectral graphs contained a two-loop graph labelled $Γ_{A2}$ and a three-loop graph labelled $Γ_{A3}$. These graphs have an equal total metric length, but different topologies. The resulting graphs $Γ_3$ and $Γ_4$ are verified as non-isospectral using their Euler characteristics, while their isoscattering properties are investigated by calculating the one-port scattering matrices numerically.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13512",
  "author_total": 3,
  "authors": [
    {
      "name": "Omer Farooq"
    },
    {
      "name": "Michał Ławniczak"
    },
    {
      "name": "Leszek Sirko"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3wvgge1ay1j49.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13512",
  "fulltext_url": null,
  "id": "3wvgge1ay1j49",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13512",
  "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",
      "quant-ph"
    ],
    [
      "openalex",
      "2610|Spectral Theory in Mathematical Physics"
    ]
  ],
  "openalex": "W7221553603",
  "pdf_url": "https://arxiv.org/pdf/2610.13512",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3wvgge1ay1j49.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:36Z",
      "native_id": "2610.13512",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13512"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Construction of isoscattering non-isospectral quantum graphs using the concept of a germ graph",
  "title_text": "Construction of isoscattering non-isospectral quantum graphs using the concept of a germ graph",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:36Z",
  "url": "https://research.draconitic.com/paper/3wvgge1ay1j49",
  "venue": "arXiv",
  "versions": []
}