{"id":"https://openalex.org/W3022329050","doi":"https://doi.org/10.1007/s00493-019-4084-2","title":"On a Conjecture of Erd\u0151s on Locally Sparse Steiner Triple Systems","display_name":"On a Conjecture of Erd\u0151s on Locally Sparse Steiner Triple Systems","publication_year":2020,"publication_date":"2020-04-28","ids":{"openalex":"https://openalex.org/W3022329050","doi":"https://doi.org/10.1007/s00493-019-4084-2","mag":"3022329050"},"language":"hu","primary_location":{"id":"doi:10.1007/s00493-019-4084-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-019-4084-2","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://research.birmingham.ac.uk/portal/en/publications/on-a-conjecture-of-erds-on-locally-sparse-steiner-triple-systems(36ecc6d4-c00d-4952-bc8f-3aec67033968).html","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018504861","display_name":"Stefan Glock","orcid":null},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Stefan Glock","raw_affiliation_strings":["School of Mathematics, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK","institution_ids":["https://openalex.org/I79619799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051475433","display_name":"Daniela K\u00fchn","orcid":"https://orcid.org/0000-0002-2448-1510"},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Daniela K\u00fchn","raw_affiliation_strings":["School of Mathematics, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK","institution_ids":["https://openalex.org/I79619799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022659483","display_name":"Allan Lo","orcid":"https://orcid.org/0000-0001-9767-2863"},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Allan Lo","raw_affiliation_strings":["School of Mathematics, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK","institution_ids":["https://openalex.org/I79619799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009459540","display_name":"Deryk Osthus","orcid":"https://orcid.org/0000-0002-3059-4298"},"institutions":[{"id":"https://openalex.org/I79619799","display_name":"University of Birmingham","ror":"https://ror.org/03angcq70","country_code":"GB","type":"education","lineage":["https://openalex.org/I79619799"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Deryk Osthus","raw_affiliation_strings":["School of Mathematics, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Birmingham, Edgbaston, Birmingham, B15 2TT, UK","institution_ids":["https://openalex.org/I79619799"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5009459540"],"corresponding_institution_ids":["https://openalex.org/I79619799"],"apc_list":null,"apc_paid":null,"fwci":5.368,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.96737409,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"40","issue":"3","first_page":"363","last_page":"403"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9993000030517578,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8774009943008423},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8564521074295044},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8108928203582764},{"id":"https://openalex.org/keywords/steiner-system","display_name":"Steiner system","score":0.7781764268875122},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.7286269068717957},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5301604866981506},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.42471253871917725},{"id":"https://openalex.org/keywords/collatz-conjecture","display_name":"Collatz conjecture","score":0.417458176612854},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.41539785265922546},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06891784071922302},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0522291362285614}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8774009943008423},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8564521074295044},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8108928203582764},{"id":"https://openalex.org/C175695255","wikidata":"https://www.wikidata.org/wiki/Q4420916","display_name":"Steiner system","level":2,"score":0.7781764268875122},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.7286269068717957},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5301604866981506},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42471253871917725},{"id":"https://openalex.org/C128814272","wikidata":"https://www.wikidata.org/wiki/Q837314","display_name":"Collatz conjecture","level":3,"score":0.417458176612854},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.41539785265922546},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06891784071922302},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0522291362285614},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s00493-019-4084-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-019-4084-2","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:pure.atira.dk:publications/36ecc6d4-c00d-4952-bc8f-3aec67033968","is_oa":true,"landing_page_url":"https://research.birmingham.ac.uk/portal/en/publications/on-a-conjecture-of-erds-on-locally-sparse-steiner-triple-systems(36ecc6d4-c00d-4952-bc8f-3aec67033968).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Glock, S, Kuhn, D, Lo, A & Osthus, D 2020, 'On a conjecture of Erd\u0151s on locally sparse Steiner triple systems', Combinatorica, vol. 40, no. 3, pp. 363-403. https://doi.org/10.1007/s00493-019-4084-2","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.atira.dk:openaire_cris_publications/36ecc6d4-c00d-4952-bc8f-3aec67033968","is_oa":true,"landing_page_url":"https://research.birmingham.ac.uk/en/publications/36ecc6d4-c00d-4952-bc8f-3aec67033968","pdf_url":"https://pure-oai.bham.ac.uk/ws/files/68273344/process11.pdf","source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Glock, S, Kuhn, D, Lo, A & Osthus, D 2020, 'On a conjecture of Erd\u0151s on locally sparse Steiner triple systems', Combinatorica, vol. 40, no. 3, pp. 363-403. https://doi.org/10.1007/s00493-019-4084-2","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.atira.dk:Publications/36ecc6d4-c00d-4952-bc8f-3aec67033968","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:publications/36ecc6d4-c00d-4952-bc8f-3aec67033968","is_oa":true,"landing_page_url":"https://research.birmingham.ac.uk/portal/en/publications/on-a-conjecture-of-erds-on-locally-sparse-steiner-triple-systems(36ecc6d4-c00d-4952-bc8f-3aec67033968).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306402634","display_name":"University of Birmingham Research Portal (University of Birmingham)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79619799","host_organization_name":"University of Birmingham","host_organization_lineage":["https://openalex.org/I79619799"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Glock, S, Kuhn, D, Lo, A & Osthus, D 2020, 'On a conjecture of Erd\u0151s on locally sparse Steiner triple systems', Combinatorica, vol. 40, no. 3, pp. 363-403. https://doi.org/10.1007/s00493-019-4084-2","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4491134239","display_name":null,"funder_award_id":"EP/N019504/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8514069245","display_name":null,"funder_award_id":"EP/P002420/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1566539898","https://openalex.org/W1571018443","https://openalex.org/W1601836823","https://openalex.org/W1755426982","https://openalex.org/W1865002360","https://openalex.org/W1956485340","https://openalex.org/W2016557032","https://openalex.org/W2036952529","https://openalex.org/W2042703645","https://openalex.org/W2068871408","https://openalex.org/W2083459869","https://openalex.org/W2086208008","https://openalex.org/W2108515073","https://openalex.org/W2109934462","https://openalex.org/W2111581675","https://openalex.org/W2118626701","https://openalex.org/W2118772688","https://openalex.org/W2133795933","https://openalex.org/W2472555608","https://openalex.org/W2592640058","https://openalex.org/W2885951340","https://openalex.org/W2962960464","https://openalex.org/W2963464045","https://openalex.org/W2964282678","https://openalex.org/W3008897411","https://openalex.org/W3037839091","https://openalex.org/W3100428902","https://openalex.org/W3101998289","https://openalex.org/W3104768492","https://openalex.org/W3125423528","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3054800523","https://openalex.org/W2787077225","https://openalex.org/W2079998160","https://openalex.org/W2018212248","https://openalex.org/W2953033279","https://openalex.org/W2908809670","https://openalex.org/W2916185057","https://openalex.org/W4288634191","https://openalex.org/W2982829914","https://openalex.org/W4212808623"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}