https://m2.mtmt.hu/ hun 2026-03-12 01:59 JournalArticle 33086820 APPROVED true Combinatorics and Applications Research Division, Alfréd Rényi Institute of Mathematics, Budapest, Hungary Department of Computer Science, Institute of Mathematics, Eötvös Loránd University, Budapest, Hungary Export Date: 8 November 2022 CODEN: JGTHD Correspondence Address: Csóka, E.; Combinatorics and Applications Research Division, Hungary; email: csokaendre@gmail.com Funding details: KKP 138270 Funding details: European Research Council, ERC, 810115 Funding text 1: The research was supported by European Research Council Synergy grant No. 810115. Endre Csóka was supported by the NRDI grant KKP 138270. We would like to thank the anonymous referees for their helpful comments. Open Access Funding provided by EISZ ‐ Eotvos Lorand University. 0 false 2025-12-31T18:29:08.064+0000 2025-02-26T14:13:23.197+0000 2022-09-09T09:39:26.580+0000 true 10071503 Szabó Regina /api/admin/10071503 Admin true 2025-02-26T14:13:23.527+0000 2025-02-26T14:13:23.527+0000 Admin 10014568 /api/admin/10014568 Vándor Andrea true 10014568 true 2024-04-18T08:05:16.552+0000 true false true 24 24 /api/publicationtype/24 PublicationType 1 true 24 JournalArticle true 10000059 Article true 24 24 /api/publicationtype/24 PublicationType 1 true 24 JournalArticle /api/subtype/10000059 Szakcikk SubType 101 true 10000059 true 1 /api/category/1 Category true 1 Csóka, Endre Locally common graphs true true /api/journal/2050556 REVIEWED true false 2050556 false 2050556 true 0364-9024 1097-0118 Journal FOREIGN 102 3 472 483 472 12 2023 Goodman proved that the sum of the number of triangles in a graph on nodes and its complement is at least ; in other words, this sum is minimized, asymptotically, by a random graph with edge density 1/2. Erdős conjectured that a similar inequality will hold for in place of , but this was disproved by Thomason. But an analogous statement does hold for some other graphs, which are called <jats:italic>common graphs</jats:italic>. Characterization of common graphs seems, however, out of reach. Franek and Rödl proved that is common in a weaker, local sense. Using the language of graph limits, we study two versions of locally common graphs. We sharpen a result of Jagger, Štovíček and Thomason by showing that no graph containing can be locally common, but prove that all such graphs are weakly locally common. 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href="/gui2/?type=authors&mode=browse&sel=10029947" target="_blank">Csóka Endre (<span class="authorship-author-name">Csóka Endre</span> <span class="authorAux-mtmt"> matematika</span>) </a> </span> <span class="author-affil"><span title="Rényi Alfréd Matematikai Kutatóintézet">RAMKI</span>/Diszkrét Matematika</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="10030135"><a href="/gui2/?type=authors&mode=browse&sel=10030135" target="_blank">Hubai Tamás (<span class="authorship-author-name">Hubai Tamás</span> <span class="authorAux-mtmt"> matematika</span>) </a> </span> <span class="author-affil"><span title="Rényi Alfréd Matematikai Kutatóintézet">RAMKI</span>/Algebra</span> ;&nbsp;&nbsp;&nbsp; <span class="author-name" mtid="10000916"><a href="/gui2/?type=authors&mode=browse&sel=10000916" target="_blank">Lovász László (<span class="authorship-author-name">Lovász László</span> <span class="authorAux-mtmt"> Matematika, számítógéptudomány</span>) </a> </span> <span class="author-affil"><span title="Eötvös Loránd Tudományegyetem">ELTE</span>/<span title="Természettudományi Kar">TTK</span>/<span title="Matematikai Intézet">Mat_I</span>/Számítógéptudományi Tanszék; Rényi Alfréd Matematikai Kutatóintézet</span> </div> </div> <div class="title"><a href="/gui2/?mode=browse&params=publication;33086820" target="_blank">Locally common graphs</a></div> <div> <span class="journal-title">JOURNAL OF GRAPH THEORY</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/0364-9024">0364-9024</a> <a target="_blank" href="https://portal.issn.org/resource/ISSN/1097-0118">1097-0118</a>)</span>: <span class="journal-volume">102</span> <span class="journal-issue">3</span> <span class="page"> pp 472-483 </span> <span class="year">(2023)</span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Nyelv: Angol | </span> <span class="identifiers"> <span class="id identifier oa_GOLD" title=" 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0;"><u>Megjegyzés</u>: Combinatorics and Applications Research Division, Alfréd Rényi Institute of Mathematics, Budapest, Hungary Department of Computer Science, Institute of Mathematics, Eötvös Loránd University, Budapest, Hungary Export Date: 8 November 2022 CODEN: JGTHD Correspondence Address: Csóka, E.; Combinatorics a...</pre> </div></div>