{"id":"https://openalex.org/W1993082496","doi":"https://doi.org/10.1016/0012-365x(83)90181-4","title":"On families of finite sets with bounds on unions and intersections","display_name":"On families of finite sets with bounds on unions and intersections","publication_year":1983,"publication_date":"1983-01-01","ids":{"openalex":"https://openalex.org/W1993082496","doi":"https://doi.org/10.1016/0012-365x(83)90181-4","mag":"1993082496"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(83)90181-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(83)90181-4","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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/A5009362151","display_name":"Chang Mo Bang","orcid":null},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chang Bang","raw_affiliation_strings":["Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA","Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA","institution_ids":["https://openalex.org/I150468666"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA,","institution_ids":["https://openalex.org/I150468666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050770031","display_name":"Henry Sharp","orcid":null},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Henry Sharp","raw_affiliation_strings":["Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA","Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA","institution_ids":["https://openalex.org/I150468666"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA,","institution_ids":["https://openalex.org/I150468666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056680757","display_name":"Peter Winkler","orcid":"https://orcid.org/0000-0002-1259-3574"},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peter Winkler","raw_affiliation_strings":["Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA","Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA","institution_ids":["https://openalex.org/I150468666"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322, USA,","institution_ids":["https://openalex.org/I150468666"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009362151"],"corresponding_institution_ids":["https://openalex.org/I150468666"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.11386861,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"45","issue":"1","first_page":"123","last_page":"126"},"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":0.9998999834060669,"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":0.9998999834060669,"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/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"}},{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.994700014591217,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.9276224970817566},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8829778432846069},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.8633195161819458},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.8151527643203735},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7659361362457275},{"id":"https://openalex.org/keywords/family-of-sets","display_name":"Family of sets","score":0.571506917476654},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5102472305297852},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.4329732656478882},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.13099148869514465},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06517532467842102}],"concepts":[{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.9276224970817566},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8829778432846069},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.8633195161819458},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8151527643203735},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7659361362457275},{"id":"https://openalex.org/C150591576","wikidata":"https://www.wikidata.org/wiki/Q739925","display_name":"Family of sets","level":3,"score":0.571506917476654},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5102472305297852},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4329732656478882},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.13099148869514465},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06517532467842102},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0012-365x(83)90181-4","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(83)90181-4","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1854642140","https://openalex.org/W1966850448","https://openalex.org/W1968729222","https://openalex.org/W2019935404","https://openalex.org/W2025324955","https://openalex.org/W6639044872"],"related_works":["https://openalex.org/W2132038253","https://openalex.org/W2022700105","https://openalex.org/W2901423989","https://openalex.org/W2952419066","https://openalex.org/W2941284322","https://openalex.org/W1982997203","https://openalex.org/W4300764115","https://openalex.org/W2950253054","https://openalex.org/W2883856176","https://openalex.org/W1993082496"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
