{"id":"https://openalex.org/W1991217473","doi":"https://doi.org/10.1007/bf02579153","title":"Intersecting sperner families and their convex hulls","display_name":"Intersecting sperner families and their convex hulls","publication_year":1984,"publication_date":"1984-03-01","ids":{"openalex":"https://openalex.org/W1991217473","doi":"https://doi.org/10.1007/bf02579153","mag":"1991217473"},"language":"en","primary_location":{"id":"doi:10.1007/bf02579153","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02579153","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037065021","display_name":"P\u00e9ter L. Erd\u0151s","orcid":"https://orcid.org/0000-0002-1139-2316"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"P\u00e9ter L. Erd\u0151s","raw_affiliation_strings":["Institute of Mathematics and Computer Science, K. Marx University of Economics, Pf. 482, H-1828, Budapest, Hungary","Institute of Mathematics and Computer Science, K. Marx University of Economics, Budapest, Hungary"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Computer Science, K. Marx University of Economics, Pf. 482, H-1828, Budapest, Hungary","institution_ids":[]},{"raw_affiliation_string":"Institute of Mathematics and Computer Science, K. Marx University of Economics, Budapest, Hungary","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056866010","display_name":"P\u00e9ter Frankl","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Peter Frankl","raw_affiliation_strings":["CNRS, 15 Quai Anatole France, 75007, Paris, France","[CNRS, Paris, France]"],"affiliations":[{"raw_affiliation_string":"CNRS, 15 Quai Anatole France, 75007, Paris, France","institution_ids":["https://openalex.org/I1294671590"]},{"raw_affiliation_string":"[CNRS, Paris, France]","institution_ids":["https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103253724","display_name":"Gyula O. H. Katona","orcid":"https://orcid.org/0000-0002-0188-0391"},"institutions":[{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"funder","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Gyula O. H. Katona","raw_affiliation_strings":["Mathematical Institute of the, Hungarian Academy of Sciences, Pf. 428, H-1395, Budapest, Hungary","Mathematical Institute, of the Hungarian Academy of Sciences, Budapest, Hungary"],"affiliations":[{"raw_affiliation_string":"Mathematical Institute of the, Hungarian Academy of Sciences, Pf. 428, H-1395, Budapest, Hungary","institution_ids":["https://openalex.org/I7597260"]},{"raw_affiliation_string":"Mathematical Institute, of the Hungarian Academy of Sciences, Budapest, Hungary","institution_ids":["https://openalex.org/I7597260"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5037065021"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.406,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.92450142,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"4","issue":"1","first_page":"21","last_page":"34"},"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":0.9998000264167786,"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":0.9998000264167786,"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/T11476","display_name":"Graph theory and applications","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T10849","display_name":"Finite Group Theory Research","score":0.9886999726295471,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8908185958862305},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8699535727500916},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5698592066764832},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.560562789440155},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5535498261451721},{"id":"https://openalex.org/keywords/extreme-point","display_name":"Extreme point","score":0.48024633526802063},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.43842241168022156},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.42429691553115845},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36465826630592346},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09504032135009766}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8908185958862305},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8699535727500916},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5698592066764832},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.560562789440155},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5535498261451721},{"id":"https://openalex.org/C39847760","wikidata":"https://www.wikidata.org/wiki/Q1385465","display_name":"Extreme point","level":2,"score":0.48024633526802063},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.43842241168022156},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.42429691553115845},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36465826630592346},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09504032135009766},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf02579153","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02579153","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:real.mtak.hu:9937","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400081","display_name":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210140733","host_organization_name":"Library and Information Centre of the Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I4210140733"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1972392483","https://openalex.org/W2019935404","https://openalex.org/W2021557596","https://openalex.org/W2031983827","https://openalex.org/W2036517292","https://openalex.org/W2043091249","https://openalex.org/W2052840523","https://openalex.org/W2055981802","https://openalex.org/W2073286344","https://openalex.org/W2084913436","https://openalex.org/W2087567316"],"related_works":["https://openalex.org/W142701514","https://openalex.org/W2061565576","https://openalex.org/W2019069959","https://openalex.org/W2064329444","https://openalex.org/W2389339893","https://openalex.org/W1992352038","https://openalex.org/W2187510381","https://openalex.org/W21575339","https://openalex.org/W2962617382","https://openalex.org/W2121443275"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
