{"id":"https://openalex.org/W2015808943","doi":"https://doi.org/10.1007/bf02579244","title":"About the ratio of the size of a maximum antichain to the size of a maximum level in finite partially ordered sets","display_name":"About the ratio of the size of a maximum antichain to the size of a maximum level in finite partially ordered sets","publication_year":1985,"publication_date":"1985-12-01","ids":{"openalex":"https://openalex.org/W2015808943","doi":"https://doi.org/10.1007/bf02579244","mag":"2015808943"},"language":"en","primary_location":{"id":"doi:10.1007/bf02579244","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02579244","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/A5025619790","display_name":"Konrad Engel","orcid":"https://orcid.org/0000-0002-9396-5332"},"institutions":[{"id":"https://openalex.org/I4665924","display_name":"University of Rostock","ror":"https://ror.org/03zdwsf69","country_code":"DE","type":"education","lineage":["https://openalex.org/I4665924"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Konrad Engel","raw_affiliation_strings":["Sektion Mathematik. Wilhelm-Pieck-Universit\u00e4t, 2500, Rostock, German Democratic Republic","Sektion Mathematik, Wilhelm-Pieck-Universit\u00e4t, Rostock, German Democratic Republic"],"affiliations":[{"raw_affiliation_string":"Sektion Mathematik. Wilhelm-Pieck-Universit\u00e4t, 2500, Rostock, German Democratic Republic","institution_ids":["https://openalex.org/I4665924"]},{"raw_affiliation_string":"Sektion Mathematik, Wilhelm-Pieck-Universit\u00e4t, Rostock, German Democratic Republic","institution_ids":["https://openalex.org/I4665924"]}]},{"author_position":"last","author":{"id":null,"display_name":"Nikolaj Nikolajevi\u010d Kuzjurin","orcid":null},"institutions":[{"id":"https://openalex.org/I4665924","display_name":"University of Rostock","ror":"https://ror.org/03zdwsf69","country_code":"DE","type":"education","lineage":["https://openalex.org/I4665924"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Nikolaj Nikolajevi\u010d Kuzjurin","raw_affiliation_strings":["Sektion Mathematik. Wilhelm-Pieck-Universit\u00e4t, 2500, Rostock, German Democratic Republic","Sektion Mathematik, Wilhelm-Pieck-Universit\u00e4t, Rostock, German Democratic Republic"],"affiliations":[{"raw_affiliation_string":"Sektion Mathematik. Wilhelm-Pieck-Universit\u00e4t, 2500, Rostock, German Democratic Republic","institution_ids":["https://openalex.org/I4665924"]},{"raw_affiliation_string":"Sektion Mathematik, Wilhelm-Pieck-Universit\u00e4t, Rostock, German Democratic Republic","institution_ids":["https://openalex.org/I4665924"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5025619790"],"corresponding_institution_ids":["https://openalex.org/I4665924"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15591496,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"5","issue":"4","first_page":"301","last_page":"309"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9926999807357788,"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"}},"topics":[{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9926999807357788,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9793999791145325,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9668999910354614,"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/antichain","display_name":"Antichain","score":0.9678298234939575},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9003704190254211},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7848560810089111},{"id":"https://openalex.org/keywords/maxima","display_name":"Maxima","score":0.5643348693847656},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.420404851436615},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.40222588181495667},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1633043885231018}],"concepts":[{"id":"https://openalex.org/C136134351","wikidata":"https://www.wikidata.org/wiki/Q431937","display_name":"Antichain","level":3,"score":0.9678298234939575},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9003704190254211},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7848560810089111},{"id":"https://openalex.org/C91528185","wikidata":"https://www.wikidata.org/wiki/Q520952","display_name":"Maxima","level":3,"score":0.5643348693847656},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.420404851436615},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.40222588181495667},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1633043885231018},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C554144382","wikidata":"https://www.wikidata.org/wiki/Q213156","display_name":"Performance art","level":2,"score":0.0},{"id":"https://openalex.org/C52119013","wikidata":"https://www.wikidata.org/wiki/Q50637","display_name":"Art history","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02579244","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf02579244","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.41999998688697815}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W91676656","https://openalex.org/W606561357","https://openalex.org/W1807012990","https://openalex.org/W1854642140","https://openalex.org/W1971147260","https://openalex.org/W2023135717","https://openalex.org/W4298295580"],"related_works":["https://openalex.org/W2013313833","https://openalex.org/W28336341","https://openalex.org/W2111205855","https://openalex.org/W2015816871","https://openalex.org/W1854642140","https://openalex.org/W2056881277","https://openalex.org/W2065333210","https://openalex.org/W1504624230","https://openalex.org/W3213974985","https://openalex.org/W4302107529"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-10T00:00:00"}
