{"id":"https://openalex.org/W4400481240","doi":"https://doi.org/10.1017/s0963548325100308","title":"Hypergraphs with uniform Tur\u00e1n density equal to 8/27","display_name":"Hypergraphs with uniform Tur\u00e1n density equal to 8/27","publication_year":2025,"publication_date":"2025-12-17","ids":{"openalex":"https://openalex.org/W4400481240","doi":"https://doi.org/10.1017/s0963548325100308"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548325100308","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548325100308","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2407.05829","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070894349","display_name":"Frederik Garbe","orcid":"https://orcid.org/0000-0003-4435-1534"},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]},{"id":"https://openalex.org/I4210155092","display_name":"Czech Academy of Sciences, Institute of Computer Science","ror":"https://ror.org/0496n6574","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210155092"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Frederik Garbe","raw_affiliation_strings":["Institute of Computer Science","Masaryk University"],"raw_orcid":"https://orcid.org/0000-0003-4435-1534","affiliations":[{"raw_affiliation_string":"Institute of Computer Science","institution_ids":["https://openalex.org/I4210155092"]},{"raw_affiliation_string":"Masaryk University","institution_ids":["https://openalex.org/I21449261"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100494008","display_name":"Daniel I\u013ekovi\u010d","orcid":null},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]},{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]},{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["CZ","DE","GB"],"is_corresponding":false,"raw_author_name":"Daniel Il\u2019kovi\u010d","raw_affiliation_strings":["Leipzig University","Masaryk University","University of Warwick"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Leipzig University","institution_ids":["https://openalex.org/I926574661"]},{"raw_affiliation_string":"Masaryk University","institution_ids":["https://openalex.org/I21449261"]},{"raw_affiliation_string":"University of Warwick","institution_ids":["https://openalex.org/I39555362"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027559065","display_name":"Daniel Kr\u00e1l\u034f\u030c","orcid":"https://orcid.org/0000-0001-8680-0890"},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]},{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]},{"id":"https://openalex.org/I4210119712","display_name":"Max Planck Institute for Mathematics","ror":"https://ror.org/02dh8ja68","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210119712"]},{"id":"https://openalex.org/I926574661","display_name":"Leipzig University","ror":"https://ror.org/03s7gtk40","country_code":"DE","type":"education","lineage":["https://openalex.org/I926574661"]}],"countries":["CZ","DE"],"is_corresponding":false,"raw_author_name":"Daniel Kr\u00e1\u013e","raw_affiliation_strings":["Leipzig University","Masaryk University","Max Planck Institute for Mathematics in the Sciences"],"raw_orcid":"https://orcid.org/0000-0001-8680-0890","affiliations":[{"raw_affiliation_string":"Leipzig University","institution_ids":["https://openalex.org/I926574661"]},{"raw_affiliation_string":"Masaryk University","institution_ids":["https://openalex.org/I21449261"]},{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences","institution_ids":["https://openalex.org/I4210119712","https://openalex.org/I4210091327"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100494009","display_name":"Filip Ku\u010der\u00e1k","orcid":null},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]},{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]},{"id":"https://openalex.org/I4210119712","display_name":"Max Planck Institute for Mathematics","ror":"https://ror.org/02dh8ja68","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210119712"]}],"countries":["CZ","DE"],"is_corresponding":false,"raw_author_name":"Filip Ku\u010der\u00e1k","raw_affiliation_strings":["Masaryk University","Max Planck Institute for Mathematics in the Sciences"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Masaryk University","institution_ids":["https://openalex.org/I21449261"]},{"raw_affiliation_string":"Max Planck Institute for Mathematics in the Sciences","institution_ids":["https://openalex.org/I4210119712","https://openalex.org/I4210091327"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069552732","display_name":"Ander Lamaison","orcid":"https://orcid.org/0000-0003-1582-5171"},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]},{"id":"https://openalex.org/I4210104335","display_name":"Institute for Basic Science","ror":"https://ror.org/00y0zf565","country_code":"KR","type":"facility","lineage":["https://openalex.org/I4210104335"]}],"countries":["CZ","KR"],"is_corresponding":false,"raw_author_name":"Ander Lamaison","raw_affiliation_strings":["Institute for Basic Science (IBS)","Masaryk University"],"raw_orcid":"https://orcid.org/0000-0003-1582-5171","affiliations":[{"raw_affiliation_string":"Institute for Basic Science (IBS)","institution_ids":["https://openalex.org/I4210104335"]},{"raw_affiliation_string":"Masaryk University","institution_ids":["https://openalex.org/I21449261"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5070894349"],"corresponding_institution_ids":["https://openalex.org/I21449261","https://openalex.org/I4210155092"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00034105,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"35","issue":"2","first_page":"280","last_page":"289"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9433000087738037,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9433000087738037,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3740854859352112},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.34274232387542725}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3740854859352112},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.34274232387542725}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1017/s0963548325100308","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548325100308","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2407.05829","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2407.05829","pdf_url":"https://arxiv.org/pdf/2407.05829","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:doi:10.48550/arxiv.2407.05829","is_oa":true,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"publisher-specific-oa","license_id":"https://openalex.org/licenses/publisher-specific-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"},{"id":"doi:10.48550/arxiv.2407.05829","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2407.05829","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2407.05829","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2407.05829","pdf_url":"https://arxiv.org/pdf/2407.05829","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4311618646","display_name":null,"funder_award_id":"MUNI/I/1677/2018","funder_id":"https://openalex.org/F4320326548","funder_display_name":"Masarykova Univerzita"}],"funders":[{"id":"https://openalex.org/F4320326548","display_name":"Masarykova Univerzita","ror":"https://ror.org/02j46qs45"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W2264868302","https://openalex.org/W1984080039","https://openalex.org/W2169821423","https://openalex.org/W2068089416","https://openalex.org/W4413122834","https://openalex.org/W2252370674","https://openalex.org/W4248232393","https://openalex.org/W2034871182","https://openalex.org/W2029849517","https://openalex.org/W2498848698","https://openalex.org/W2272077246","https://openalex.org/W2004751842","https://openalex.org/W2726639430","https://openalex.org/W1488705378","https://openalex.org/W2909502168","https://openalex.org/W1972261509","https://openalex.org/W4361200758","https://openalex.org/W164342597","https://openalex.org/W4415021036","https://openalex.org/W2111007781","https://openalex.org/W4387537843","https://openalex.org/W2511528831"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793","https://openalex.org/W4238204885"],"abstract_inverted_index":{"Abstract":[0],"In":[1,58],"the":[2,8,18,22,31,43,64,78,102,149],"1980s,":[3],"Erd\u0151s":[4],"and":[5,70,91,129,158],"S\u00f3s":[6],"initiated":[7],"study":[9],"of":[10,20,26,68,113],"Tur\u00e1n":[11,24,66,119,151],"problems":[12],"with":[13,42,117],"a":[14,27,137],"uniformity":[15],"condition":[16,147],"on":[17],"distribution":[19],"edges:":[21],"uniform":[23,65,118,150],"density":[25,51,120,152],"hypergraph":[28,41],"$H$":[29,56],"is":[30],"infimum":[32],"over":[33],"all":[34,46],"$d$":[35,54],"for":[36,148],"which":[37],"any":[38],"sufficiently":[39],"large":[40],"property":[44],"that":[45],"its":[47],"linear-size":[48],"subhypergraphs":[49],"have":[50],"at":[52],"least":[53],"contains":[55],".":[57,72],"particular,":[59],"they":[60],"asked":[61],"to":[62,122,144,153,156],"determine":[63],"densities":[67],"$K_4^{(3)-}$":[69],"$K_4^{(3)}$":[71],"After":[73],"more":[74],"than":[75],"30":[76],"years,":[77],"former":[79],"was":[80],"solved":[81],"in":[82],"[Israel":[83],"J.":[84],"Math.":[85,94],"211":[86],"(2016),":[87],"349":[88],"\u2013":[89,99],"366]":[90],"[J.":[92],"Eur.":[93],"Soc.":[95],"20":[96],"(2018),":[97],"1139":[98],"1159],":[100],"while":[101],"latter":[103],"still":[104],"remains":[105],"open.":[106],"Till":[107],"today,":[108],"there":[109],"are":[110],"known":[111],"constructions":[112],"$3$":[114],"-uniform":[115],"hypergraphs":[116,160],"equal":[121,155],"$0$":[123],",":[124,126,128],"$1/27$":[125],"$4/27$":[127],"$1/4$":[130],"only.":[131],"We":[132],"extend":[133],"this":[134,162],"list":[135],"by":[136],"fifth":[138],"value:":[139],"we":[140],"prove":[141],"an":[142],"easy":[143],"verify":[145],"sufficient":[146],"be":[154],"$8/27$":[157],"identify":[159],"satisfying":[161],"condition.":[163]},"counts_by_year":[],"updated_date":"2026-02-19T06:27:42.648592","created_date":"2024-07-11T00:00:00"}
