[{"article_processing_charge":"No","department":[{"_id":"MaKw"}],"title":"High-girth Steiner triple systems","date_updated":"2025-09-08T14:40:55Z","issue":"3","publication_status":"published","type":"journal_article","publisher":"Princeton University","author":[{"first_name":"Matthew Alan","full_name":"Kwan, Matthew Alan","last_name":"Kwan","orcid":"0000-0002-4003-7567","id":"5fca0887-a1db-11eb-95d1-ca9d5e0453b3"},{"last_name":"Sah","first_name":"Ashwin","full_name":"Sah, Ashwin"},{"first_name":"Mehtaab","full_name":"Sawhney, Mehtaab","last_name":"Sawhney"},{"last_name":"Simkin","full_name":"Simkin, Michael","first_name":"Michael"}],"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2201.04554"}],"quality_controlled":"1","article_type":"original","external_id":{"isi":["001366233800004"],"arxiv":["2201.04554"]},"isi":1,"acknowledgement":"Sah and Sawhney were supported by NSF Graduate Research Fellowship Program DGE1745302. Sah was supported by the PD Soros Fellowship. Simkin was supported by the Center of Mathematical Sciences and Applications at Harvard University.","year":"2024","volume":200,"day":"01","page":"1059-1156","language":[{"iso":"eng"}],"_id":"18559","corr_author":"1","intvolume":"       200","OA_type":"green","doi":"10.4007/annals.2024.200.3.4","oa_version":"Preprint","citation":{"chicago":"Kwan, Matthew Alan, Ashwin Sah, Mehtaab Sawhney, and Michael Simkin. “High-Girth Steiner Triple Systems.” <i>Annals of Mathematics</i>. Princeton University, 2024. <a href=\"https://doi.org/10.4007/annals.2024.200.3.4\">https://doi.org/10.4007/annals.2024.200.3.4</a>.","ieee":"M. A. Kwan, A. Sah, M. Sawhney, and M. Simkin, “High-girth Steiner triple systems,” <i>Annals of Mathematics</i>, vol. 200, no. 3. Princeton University, pp. 1059–1156, 2024.","apa":"Kwan, M. A., Sah, A., Sawhney, M., &#38; Simkin, M. (2024). High-girth Steiner triple systems. <i>Annals of Mathematics</i>. Princeton University. <a href=\"https://doi.org/10.4007/annals.2024.200.3.4\">https://doi.org/10.4007/annals.2024.200.3.4</a>","ama":"Kwan MA, Sah A, Sawhney M, Simkin M. High-girth Steiner triple systems. <i>Annals of Mathematics</i>. 2024;200(3):1059-1156. doi:<a href=\"https://doi.org/10.4007/annals.2024.200.3.4\">10.4007/annals.2024.200.3.4</a>","short":"M.A. Kwan, A. Sah, M. Sawhney, M. Simkin, Annals of Mathematics 200 (2024) 1059–1156.","mla":"Kwan, Matthew Alan, et al. “High-Girth Steiner Triple Systems.” <i>Annals of Mathematics</i>, vol. 200, no. 3, Princeton University, 2024, pp. 1059–156, doi:<a href=\"https://doi.org/10.4007/annals.2024.200.3.4\">10.4007/annals.2024.200.3.4</a>.","ista":"Kwan MA, Sah A, Sawhney M, Simkin M. 2024. High-girth Steiner triple systems. Annals of Mathematics. 200(3), 1059–1156."},"month":"11","publication":"Annals of Mathematics","date_created":"2024-11-17T23:01:48Z","oa":1,"OA_place":"repository","abstract":[{"text":"We prove a 1973 conjecture due to Erdős on the existence of Steiner triple systems with arbitrarily high girth.","lang":"eng"}],"scopus_import":"1","date_published":"2024-11-01T00:00:00Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","status":"public","publication_identifier":{"eissn":["1939-8980"],"issn":["0003-486X"]},"arxiv":1}]