https://m2.mtmt.hu/ eng 2026-04-14 18:04 JournalArticle 34686162 VALIDATED true Department of Network and Data Science, Central European University, Vienna, Austria Alfréd Rényi Institute of Mathematics, Budapest, Hungary Institute of Physics, Belgrade, Serbia Network Science Institute, Northeastern University, Boston, MA, United States Department of Medicine, Brigham and Women’s Hospital, Harvard Medical School, Boston, MA, United States Export Date: 26 February 2024 Correspondence Address: Barabási, A.-L.; Department of Network and Data Science, Austria; email: barabasi@gmail.com Funding details: European Research Council, ERC, 810115-DYNASNET Funding text 1: This research was funded by ERC grant no. 810115-DYNASNET. 0 false 2026-02-24T00:41:27.722+0000 2024-11-14T08:46:03.857+0000 2024-02-26T14:23:29.734+0000 true 10015168 Szakonyi Erzsebet /api/admin/10015168 Admin Erzsebet Szakonyi (RAMKI admin 4) true 10015168 2025-04-02T12:39:12.488+0000 2024-02-26T15:34:28.825+0000 true 10015168 Szakonyi Erzsebet /api/admin/10015168 Admin Erzsebet Szakonyi (RAMKI admin 4) true 10015168 2024-11-14T08:46:04.124+0000 true 10080081 Bavalicsné Kerekes Beáta /api/admin/10080081 Admin Beáta Bavalicsné Kerekes (MTMT ellenőrzés admin5) true Admin 10080081 /api/admin/10080081 Beáta Bavalicsné Kerekes (MTMT ellenőrzés admin5) Bavalicsné Kerekes Beáta true true Admin 10067876 /api/admin/10067876 Gusztáv Ladányi (MTMT API user, admin) Ladányi Gusztáv true true 2024-10-30T14:44:14.592+0000 true false true 24 24 /api/publicationtype/24 PublicationType Journal Article 1 true 24 JournalArticle true 10000059 Article true 24 24 /api/publicationtype/24 PublicationType Journal Article 1 true 24 JournalArticle /api/subtype/10000059 Szakcikk SubType Article (Journal Article) 101 true 10000059 true 1 /api/category/1 Category Scientific true 1 Pósfai, M. true true /api/journal/10003410 REVIEWED NATURE PHYSICS 1745-2473 1745-2481 true false 10003410 false 10003410 true 1745-2473 1745-2481 Journal FOREIGN 20 1 142 149 142 8 2024 The emergence of detailed maps of physical networks, such as the brain connectome, vascular networks or composite networks in metamaterials, whose nodes and links are physical entities, has demonstrated the limits of the current network science toolset. Link physicality imposes a non-crossing condition that affects both the evolution and the structure of a network, in a way that the adjacency matrix alone—the starting point of all graph-based approaches—cannot capture. Here, we introduce a meta-graph that helps us to discover an exact mapping between linear physical networks and independent sets, which is a central concept in graph theory. The mapping allows us to analytically derive both the onset of physical effects and the emergence of a jamming transition, and to show that physicality affects the network structure even when the total volume of the links is negligible. Finally, we construct the meta-graphs of several real physical networks, which allows us to predict functional features, such as synapse formation in the brain connectome, that agree with empirical data. Overall, our results show that, to understand the evolution and behaviour of real complex networks, the role of physicality must be fully quantified. © 2023, The Author(s), under exclusive licence to Springer Nature Limited. 2024 true true true false false GREEN 2026-02-24 true http://real.mtak.hu/191037 3 0 3 0 1 3 3 3 3 3 3 0 0 0 3 0 3 0 3 0 0 1 1 Folyóiratcikk Journal Article 24 3 Könyvrészlet Chapter in Book 25 0 Könyv Book 23 0 Egyéb konferenciaközlemény Conference paper 31 0 Egyéb konferenciakötet Conference proceedings 32 0 Oltalmi formák Protection forms 26 0 Disszertáció Thesis 28 0 Egyéb Miscellaneous 29 0 Alkotás Achievement 22 0 Kutatási adat Research data 33 0 Folyóiratcikk Journal Article 24 0 0 0 Könyvrészlet Chapter in Book 25 0 0 0 Könyv Book 23 0 0 0 Egyéb konferenciaközlemény Conference paper 31 0 0 0 Egyéb konferenciakötet Conference proceedings 32 0 0 0 Oltalmi formák Protection forms 26 0 0 0 Disszertáció Thesis 28 0 0 0 Egyéb Miscellaneous 29 0 0 0 Alkotás Achievement 22 0 0 0 Kutatási adat Research data 33 0 0 0 2024 0 3 0 3 0 D1 false false false false 2024-02-25T15:34:28.643+0000 Algebra (HRN RAMKI); Mesterséges Intelligencia (HRN RAMKI); Synergy (HRN RAMKI) 4 45 3 8 0 true 10080081 10067876 Language 10002 /api/language/10002 English Angol English true 2 true PersonAuthorship 115268729 /api/authorship/115268729 Pósfai, M. 1 0.125 true false false Pósfai M. true false false AuthorshipType 1 /api/authorshiptype/1 Author 0 true 0 true false true PersonAuthorship 115268730 /api/authorship/115268730 Szegedy, B. [Szegedy, Balázs (Csoport elmélet), author] Artificial Intelligence 2 0.125 false false false Author 10011745 /api/author/10011745 Balázs Szegedy (Csoport elmélet) Szegedy Balázs true 10011745 true Szegedy B. true false false AuthorshipType 1 /api/authorshiptype/1 Author 0 true 0 true false true PersonAuthorship 115268731 /api/authorship/115268731 Bačić, I. 3 0.125 false false false Bačić I. true false false AuthorshipType 1 /api/authorshiptype/1 Author 0 true 0 true false true PersonAuthorship 115268732 /api/authorship/115268732 Blagojević, L. 4 0.125 false false false Blagojević L. true false false AuthorshipType 1 /api/authorshiptype/1 Author 0 true 0 true false true PersonAuthorship 115268733 /api/authorship/115268733 Abért, M. 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[Lovász, László (Matematika, számí...), author] Synergy 7 0.125 false false false Author 10000916 /api/author/10000916 László Lovász (Matematika, számítógéptudomány) Lovász László true 10000916 true Lovász L. true false false AuthorshipType 1 /api/authorshiptype/1 Author 0 true 0 true false true PersonAuthorship 115268736 /api/authorship/115268736 Barabási, A.-L. ✉ 8 0.125 false true true Barabási A.-L. true false false AuthorshipType 1 /api/authorshiptype/1 Author 0 true 0 true false true PublicationIdentifier 25743535 /api/publicationidentifier/25743535 DOI: 10.1038/s41567-023-02267-1 PlainSource 6 /api/publicationsource/6 DOI PublicationSourceType 10001 /api/publicationsourcetype/10001 DOI true true true DOI DOI https://doi.org/@@@ true true 6 true IDENTICAL 10.1038/s41567-023-02267-1 https://doi.org/10.1038/s41567-023-02267-1 false true PublicationIdentifier 25913946 /api/publicationidentifier/25913946 REAL: 191037 SwordSource 36 /api/publicationsource/36 REAL PublicationSourceType 10007 /api/publicationsourcetype/10007 Repozitórium true true true REAL REAL http://real.mtak.hu/@@@ true true 36 true GREEN true 191037 http://real.mtak.hu/191037 false true PublicationIdentifier 25743534 /api/publicationidentifier/25743534 Scopus: 85175833401 PlainSource 3 /api/publicationsource/3 Scopus PublicationSourceType 10003 /api/publicationsourcetype/10003 Indexelő adatbázis false true true Scopus Scopus http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-@@@ true true 3 true IDENTICAL 85175833401 http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85175833401 false true Keyword 6461 /api/keyword/6461 complex networks true 6461 true Keyword 1016204 /api/keyword/1016204 Graph theory true 1016204 true Keyword 1049338 /api/keyword/1049338 Mapping true 1049338 true Keyword 1122877 /api/keyword/1122877 Toolsets true 1122877 true Keyword 1158965 /api/keyword/1158965 Network structures true 1158965 true Keyword 1366085 /api/keyword/1366085 Network science true 1366085 true Keyword 1565924 /api/keyword/1565924 condition true true Keyword 1726102 /api/keyword/1726102 Nodes and links true true Keyword 1737086 /api/keyword/1737086 VASCULAR NETWORK true true Keyword 2116951 /api/keyword/2116951 connectomes true true Keyword 2188151 /api/keyword/2188151 Meta-graph true true Keyword 2315558 /api/keyword/2315558 'current true true Keyword 2376411 /api/keyword/2376411 Physical network true true SjrRating 11493220 /api/sjrrating/11493220 sjr:D1 (2024) Scopus - Physics and Astronomy (miscellaneous) NATURE PHYSICS 1745-2473 1745-2481 4 0.1 journal RatingType 10002 /api/ratingtype/10002 sjr sjr true true ClassificationExternal 3101 /api/classificationexternal/3101 Scopus - Physics and Astronomy (miscellaneous) true 3101 true D1 DIRECT true true Reference 50469020 /api/reference/50469020 1. 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(2024) NATURE PHYSICS 1745-2473 1745-2481 20 1 142-149<div class="JournalArticle Publication long-list"> <div class="authors"> <img title="Forrásközlemény" style="float: left" src="/frontend/resources/grid/publication-core-icon.png"> <img title="Idézőközlemény" style="float: left" src="/frontend/resources/grid/publication-citation-icon.png"> <div class="autype autype0"> <span class="author-name" >Pósfai M. </span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="10011745"><a href="/gui2/?type=authors&mode=browse&sel=10011745" target="_blank">Szegedy B. (<span class="authorship-author-name">Szegedy Balázs</span> <span class="authorAux-mtmt"> Csoport elmélet</span>) </a> </span> <span class="author-affil"><span title="HUN-REN Alfréd Rényi Institute of Mathematics">HUN-REN RAMKI</span>/Artificial Intelligence</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" >Bačić I. </span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" >Blagojević L. </span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="10011747"><a href="/gui2/?type=authors&mode=browse&sel=10011747" target="_blank">Abért M. (<span class="authorship-author-name">Abért Miklós</span> <span class="authorAux-mtmt"> Csoportelmélet</span>) </a> </span> <span class="author-affil"><span title="HUN-REN Alfréd Rényi Institute of Mathematics">HUN-REN RAMKI</span>/Algebra</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="10000348"><a href="/gui2/?type=authors&mode=browse&sel=10000348" target="_blank">Kertész J. (<span class="authorship-author-name">Kertész János</span> <span class="authorAux-mtmt"> Statisztikus és számítógépes fizika</span>) </a> </span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="10000916"><a href="/gui2/?type=authors&mode=browse&sel=10000916" target="_blank">Lovász L. (<span class="authorship-author-name">Lovász László</span> <span class="authorAux-mtmt"> Matematika, számítógéptudomány</span>) </a> </span> <span class="author-affil"><span title="HUN-REN Alfréd Rényi Institute of Mathematics">HUN-REN RAMKI</span>/Synergy</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" >Barabási A.-L. ✉ </span> </div> </div> <div class="title"><a href="/gui2/?mode=browse&params=publication;34686162" target="_blank">Impact of physicality on network structure</a></div> <div> <span class="journal-title">NATURE PHYSICS</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/1745-2473">1745-2473</a> <a target="_blank" href="https://portal.issn.org/resource/ISSN/1745-2481">1745-2481</a>)</span>: <span class="journal-volume">20</span> <span class="journal-issue">1</span> <span class="page"> pp 142-149 </span> <span class="year">(2024)</span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Language: English | </span> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="10.1038/s41567-023-02267-1" target="_blank" href="https://doi.org/10.1038/s41567-023-02267-1"> DOI </a> </span> <span class="id identifier oa_GREEN" title=" Green "> <a style="color:black" title="191037" target="_blank" href="http://real.mtak.hu/191037"> REAL </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="85175833401" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85175833401"> Scopus </a> </span> </span> <OnlyViewableByAuthor><div class="ratings"> <div class="journal-subject">Journal subject: Scopus - Physics and Astronomy (miscellaneous)&nbsp;&nbsp;&nbsp;Rank:&nbsp;D1</div> </div></OnlyViewableByAuthor> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="" class="citingPub-count">Citing papers: 3</span> | Independent citation: 0 | Self citation: 3 | Unknown citation: 0 | Number of citations in WoS: 3 | Number of citations in Scopus:&nbsp;3 | WoS/Scopus assigned:&nbsp;3 | Number of citations with DOI:&nbsp;3 </div> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;34686162&sort=publishedYear,desc&sort=title"> Number of cited publications: 1 </a> </div> <div class="mtid"><span class="long-pub-mtid">Publication: 34686162</span> | <span class="status-data status-VALIDATED"> Validated </span> Core Citing | <span class="type-subtype">Journal Article ( Article ) </span> | <span class="pub-category">Scientific</span> | <span class="publication-sourceOfData">Scopus</span> </div> <div class="lastModified">Last Modified: 2024.11.14. 09:46 Beáta Bavalicsné Kerekes (MTMT ellenőrzés admin5) </div> <div class="lockedBy">Centrally managed 2024.10.30. 15:44 Beáta Bavalicsné Kerekes (MTMT ellenőrzés admin5) Gusztáv Ladányi (MTMT API user, admin) </div> <pre class="comment" style="margin-top: 0; margin-bottom: 0;"><u>Comments</u>: Department of Network and Data Science, Central European University, Vienna, Austria Alfréd Rényi Institute of Mathematics, Budapest, Hungary Institute of Physics, Belgrade, Serbia Network Science Institute, Northeastern University, Boston, MA, United States Department of Medicine, Brigham and Women’...</pre> </div></div>