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<article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:ali="http://www.niso.org/schemas/ali/1.0/" article-type="research-article" dtd-version="1.2" xml:lang="en"><front><journal-meta><journal-id journal-id-type="publisher-id">Computational nanotechnology</journal-id><journal-title-group><journal-title xml:lang="en">Computational nanotechnology</journal-title><trans-title-group xml:lang="ru"><trans-title>Computational nanotechnology</trans-title></trans-title-group></journal-title-group><issn publication-format="print">2313-223X</issn><issn publication-format="electronic">2587-9693</issn><publisher><publisher-name xml:lang="en">YUR-VAK</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="publisher-id">350185</article-id><article-id pub-id-type="doi">10.33693/2313-223X-2025-12-3-58-66</article-id><article-id pub-id-type="edn">BAJDCN</article-id><article-categories><subj-group subj-group-type="toc-heading" xml:lang="en"><subject>SYSTEM ANALYSIS, INFORMATION MANAGEMENT  AND PROCESSING, STATISTICS</subject></subj-group><subj-group subj-group-type="toc-heading" xml:lang="ru"><subject>СИСТЕМНЫЙ АНАЛИЗ, УПРАВЛЕНИЕ  И ОБРАБОТКА ИНФОРМАЦИИ, СТАТИСТИКА</subject></subj-group><subj-group subj-group-type="article-type"><subject>Research Article</subject></subj-group></article-categories><title-group><article-title xml:lang="en">A visualization method for metagraphs with complex multi-level hierarchical structures</article-title><trans-title-group xml:lang="ru"><trans-title>Метод визуализации метаграфов со сложной многоуровневой иерархической структурой</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author"><contrib-id contrib-id-type="spin">5436-5405</contrib-id><name-alternatives><name xml:lang="en"><surname>Molchanov</surname><given-names>Aleksei V.</given-names></name><name xml:lang="ru"><surname>Молчанов</surname><given-names>Алексей Викторович</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>postgraduate student</p></bio><bio xml:lang="ru"><p>аспирант</p></bio><email>molchanovav@student.bmstu.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="spin">4758-2148</contrib-id><name-alternatives><name xml:lang="en"><surname>Gapanyuk</surname><given-names>Yuriy E.</given-names></name><name xml:lang="ru"><surname>Гапанюк</surname><given-names>Юрий Евгеньевич</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Cand. Sci. (Eng.), Associate Professor</p></bio><bio xml:lang="ru"><p>кандидат технических наук, доцент</p></bio><email>gapyu@bmstu.ru</email><xref ref-type="aff" rid="aff1"/></contrib><contrib contrib-type="author"><contrib-id contrib-id-type="spin">7790-1645</contrib-id><name-alternatives><name xml:lang="en"><surname>Afanasyev</surname><given-names>Gennady I.</given-names></name><name xml:lang="ru"><surname>Афанасьев</surname><given-names>Геннадий Иванович</given-names></name></name-alternatives><address><country country="RU">Russian Federation</country></address><bio xml:lang="en"><p>Cand. Sci. (Eng.), Associate Professor</p></bio><bio xml:lang="ru"><p>кандидат технических наук, доцент</p></bio><email>gaipcs@bmstu.ru</email><xref ref-type="aff" rid="aff1"/></contrib></contrib-group><aff-alternatives id="aff1"><aff><institution xml:lang="en">Bauman Moscow State Technical University</institution></aff><aff><institution xml:lang="ru">Московский государственный технический университет имени Н.Э. Баумана</institution></aff></aff-alternatives><pub-date date-type="pub" iso-8601-date="2025-11-02" publication-format="electronic"><day>02</day><month>11</month><year>2025</year></pub-date><volume>12</volume><issue>3</issue><fpage>58</fpage><lpage>66</lpage><history><date date-type="received" iso-8601-date="2025-11-07"><day>07</day><month>11</month><year>2025</year></date></history><permissions><copyright-statement xml:lang="en">Copyright ©; 2025, Yur-VAK</copyright-statement><copyright-statement xml:lang="ru">Copyright ©; 2025, Юр-ВАК</copyright-statement><copyright-year>2025</copyright-year><copyright-holder xml:lang="en">Yur-VAK</copyright-holder><copyright-holder xml:lang="ru">Юр-ВАК</copyright-holder><license><ali:license_ref xmlns:ali="http://www.niso.org/schemas/ali/1.0/">https://www.urvak.ru/contacts/</ali:license_ref></license></permissions><self-uri xlink:href="https://journals.rcsi.science/2313-223X/article/view/350185">https://journals.rcsi.science/2313-223X/article/view/350185</self-uri><abstract xml:lang="en"><p>Graph visualization is a crucial tool for the visual analysis of interconnected data; however, traditional methods often fail to efficiently represent nested, multi-level hierarchical structures. This study proposes a method based on classical force-directed layout algorithms, specifically designed for visualizing metagraphs through a planetary interaction model of vertices. The distinctive feature of the proposed approach lies in incorporating the intrinsic weight of each vertex. This adaptation allows for the preservation of nested structures, improved graph readability, and scalability of the visualization as data complexity increases. Simulation results demonstrate the method's effectiveness across various types of nested data, including file systems, organizational hierarchies, and biological ontologies.</p></abstract><trans-abstract xml:lang="ru"><p>Визуализация графов является важным инструментом визуального анализа взаимосвязанных данных, однако традиционные методы недостаточно эффективно справляются с задачами отображения вложенных многоуровневых иерархических структур. В данной работе предложен метод с использованием подхода классических силовых алгоритмов, который ориентирован на визуализацию метаграфов посредством планетарной модели взаимодействия вершин. Особенность предлагаемого подхода заключается в учете собственного веса вершин. Такая адаптация обеспечивает сохранение вложенных структур, повышение читаемости графа и масштабируемость визуализации при увеличении сложности данных. Результаты моделирования метода демонстрируют эффективность этого метода при работе с различными типами вложенных данных, включая файловые системы, организационные структуры и биологические онтологии.</p></trans-abstract><kwd-group xml:lang="en"><kwd>metagraph</kwd><kwd>graph visualization</kwd><kwd>force-directed visualization</kwd><kwd>planetar visualization</kwd><kwd>metavertex</kwd><kwd>nodes</kwd></kwd-group><kwd-group xml:lang="ru"><kwd>метаграф</kwd><kwd>визуализация графов</kwd><kwd>силовой метод визуализации</kwd><kwd>планетарная модель визуализации</kwd><kwd>метавершина</kwd><kwd>узлы</kwd></kwd-group><funding-group/></article-meta></front><body></body><back><ref-list><ref id="B1"><label>1.</label><citation-alternatives><mixed-citation xml:lang="en">Antonov E.V., Artamonov A.A., Rudik A.V., Malugin M.I. Visualization of trends in the scientific field: A proposed method and a review of big data. Scientific Visualization. 2022. Vol. 14. No. 2. Pp. 62–76. (In Rus.). 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