{"id":"https://openalex.org/W2148328298","doi":"https://doi.org/10.1007/s11083-015-9348-x","title":"On the Duality of Semiantichains and Unichain Coverings","display_name":"On the Duality of Semiantichains and Unichain Coverings","publication_year":2015,"publication_date":"2015-02-01","ids":{"openalex":"https://openalex.org/W2148328298","doi":"https://doi.org/10.1007/s11083-015-9348-x","mag":"2148328298"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-015-9348-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-015-9348-x","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1401.1225","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038469350","display_name":"Bart\u0142omiej Bosek","orcid":"https://orcid.org/0000-0001-8756-3663"},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Bart\u0142omiej Bosek","raw_affiliation_strings":["Theoretical Computer Science Department Faculty of Mathemathics and Computer Science, Jagiellonian University, \u0141ojasiewicza 6, 30-348, Krak\u00f3w, Poland","Theoretical Computer Science Department Faculty of Mathemathics and Computer Science, Jagiellonian University, Krak\u00f3w, Poland"],"affiliations":[{"raw_affiliation_string":"Theoretical Computer Science Department Faculty of Mathemathics and Computer Science, Jagiellonian University, \u0141ojasiewicza 6, 30-348, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746"]},{"raw_affiliation_string":"Theoretical Computer Science Department Faculty of Mathemathics and Computer Science, Jagiellonian University, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005468020","display_name":"Stefan Felsner","orcid":"https://orcid.org/0000-0002-6150-1998"},"institutions":[{"id":"https://openalex.org/I4577782","display_name":"Technische Universit\u00e4t Berlin","ror":"https://ror.org/03v4gjf40","country_code":"DE","type":"education","lineage":["https://openalex.org/I4577782"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Stefan Felsner","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Strasse des 17. Juni 136, D-10623, Berlin, Germany","Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Berlin, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Strasse des 17. Juni 136, D-10623, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]},{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Technische Universit\u00e4t Berlin, Berlin, Germany","institution_ids":["https://openalex.org/I4577782"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057566451","display_name":"Kolja Knauer","orcid":"https://orcid.org/0000-0002-8151-2184"},"institutions":[{"id":"https://openalex.org/I21491767","display_name":"Aix-Marseille Universit\u00e9","ror":"https://ror.org/035xkbk20","country_code":"FR","type":"education","lineage":["https://openalex.org/I21491767"]},{"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":true,"raw_author_name":"Kolja Knauer","raw_affiliation_strings":["Aix Marseille Universit\u00e9, CNRS, LIF UMR 7279, 13288, Marseille, France","Aix Marseille Universit\u00e9, CNRS, LIF UMR 7279, Marseille, France"],"affiliations":[{"raw_affiliation_string":"Aix Marseille Universit\u00e9, CNRS, LIF UMR 7279, 13288, Marseille, France","institution_ids":["https://openalex.org/I21491767","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Aix Marseille Universit\u00e9, CNRS, LIF UMR 7279, Marseille, France","institution_ids":["https://openalex.org/I21491767","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061613133","display_name":"Grzegorz Matecki","orcid":null},"institutions":[{"id":"https://openalex.org/I126596746","display_name":"Jagiellonian University","ror":"https://ror.org/03bqmcz70","country_code":"PL","type":"education","lineage":["https://openalex.org/I126596746"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Grzegorz Matecki","raw_affiliation_strings":["Theoretical Computer Science Department Faculty of Mathemathics and Computer Science, Jagiellonian University, \u0141ojasiewicza 6, 30-348, Krak\u00f3w, Poland","Theoretical Computer Science Department Faculty of Mathemathics and Computer Science, Jagiellonian University, Krak\u00f3w, Poland"],"affiliations":[{"raw_affiliation_string":"Theoretical Computer Science Department Faculty of Mathemathics and Computer Science, Jagiellonian University, \u0141ojasiewicza 6, 30-348, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746"]},{"raw_affiliation_string":"Theoretical Computer Science Department Faculty of Mathemathics and Computer Science, Jagiellonian University, Krak\u00f3w, Poland","institution_ids":["https://openalex.org/I126596746"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5057566451"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I21491767"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12599232,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":"1","first_page":"29","last_page":"38"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9994000196456909,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9994000196456909,"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":0.996399998664856,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9961000084877014,"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/conjecture","display_name":"Conjecture","score":0.8970605134963989},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.865229606628418},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6954071521759033},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.6889466047286987},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.5987638235092163},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5712429881095886},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5366020202636719},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35659873485565186},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07128143310546875},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06417432427406311}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.8970605134963989},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.865229606628418},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6954071521759033},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.6889466047286987},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.5987638235092163},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5712429881095886},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5366020202636719},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35659873485565186},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07128143310546875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06417432427406311},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s11083-015-9348-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11083-015-9348-x","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"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":"Order","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1401.1225","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1401.1225","pdf_url":"https://arxiv.org/pdf/1401.1225","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":"text"},{"id":"pmh:oai:ruj.uj.edu.pl:item/19499","is_oa":true,"landing_page_url":"http://ruj.uj.edu.pl/xmlui/handle/item/19499","pdf_url":null,"source":{"id":"https://openalex.org/S4306401249","display_name":"Jagiellonian University Repository (Jagiellonian University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I126596746","host_organization_name":"Jagiellonian University","host_organization_lineage":["https://openalex.org/I126596746"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1401.1225","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1401.1225","pdf_url":"https://arxiv.org/pdf/1401.1225","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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W150545534","https://openalex.org/W156505806","https://openalex.org/W1807012990","https://openalex.org/W1967714611","https://openalex.org/W1968942630","https://openalex.org/W1974280274","https://openalex.org/W1986793221","https://openalex.org/W1989514138","https://openalex.org/W2006860833","https://openalex.org/W2019206451","https://openalex.org/W2021115540","https://openalex.org/W2042626467","https://openalex.org/W2044935944","https://openalex.org/W2058520251","https://openalex.org/W2067267940","https://openalex.org/W2078049262","https://openalex.org/W2078268532","https://openalex.org/W2079430407","https://openalex.org/W2089978850","https://openalex.org/W2138202870","https://openalex.org/W2158525989","https://openalex.org/W4211196119","https://openalex.org/W4213217558","https://openalex.org/W4254807835"],"related_works":["https://openalex.org/W4394650907","https://openalex.org/W4254119641","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W2576399385","https://openalex.org/W2963408011","https://openalex.org/W2993284054","https://openalex.org/W2950745712","https://openalex.org/W4301846246"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}