{"id":"https://openalex.org/W2012974186","doi":"https://doi.org/10.1007/bf02187835","title":"Separating convex sets in the plane","display_name":"Separating convex sets in the plane","publication_year":1992,"publication_date":"1992-02-01","ids":{"openalex":"https://openalex.org/W2012974186","doi":"https://doi.org/10.1007/bf02187835","mag":"2012974186"},"language":"en","primary_location":{"id":"doi:10.1007/bf02187835","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02187835","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02187835.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete & Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/BF02187835.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5067736776","display_name":"Jurek Czyzowicz","orcid":"https://orcid.org/0000-0002-9026-1217"},"institutions":[{"id":"https://openalex.org/I33217400","display_name":"Universit\u00e9 du Qu\u00e9bec en Outaouais","ror":"https://ror.org/011pqxa69","country_code":"CA","type":"education","lineage":["https://openalex.org/I33217400","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jurek Czyzowicz","raw_affiliation_strings":["D\u00e9partement d'Informatique, Universit\u00e9 du Qu\u00e9bec \u00e0 Hull, Hull, Qu\u00e9bec, Canada","Departement d'Informatique, Universit\u00e9 du Qu\u00e9bec \u00e0 Hull, Hull, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement d'Informatique, Universit\u00e9 du Qu\u00e9bec \u00e0 Hull, Hull, Qu\u00e9bec, Canada","institution_ids":["https://openalex.org/I33217400"]},{"raw_affiliation_string":"Departement d'Informatique, Universit\u00e9 du Qu\u00e9bec \u00e0 Hull, Hull, Canada","institution_ids":["https://openalex.org/I33217400"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021431672","display_name":"Eduardo Rivera\u2010Campo","orcid":null},"institutions":[{"id":"https://openalex.org/I200362191","display_name":"Universidad Aut\u00f3noma Metropolitana","ror":"https://ror.org/02kta5139","country_code":"MX","type":"education","lineage":["https://openalex.org/I200362191"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Eduardo Rivera-Campo","raw_affiliation_strings":["Departamento de Matem\u00e1ticas, Universidad Aut\u00f3noma Metropolitana-I, M\u00e9xico D.F., M\u00e9xico","Departamento de Matem\u00e1ticas, Universidad Aut\u00f3noma Metropolitana-I, M\u00e9xico, D.F., Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad Aut\u00f3noma Metropolitana-I, M\u00e9xico D.F., M\u00e9xico","institution_ids":["https://openalex.org/I200362191"]},{"raw_affiliation_string":"Departamento de Matem\u00e1ticas, Universidad Aut\u00f3noma Metropolitana-I, M\u00e9xico, D.F., Mexico","institution_ids":["https://openalex.org/I200362191"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068857927","display_name":"Jorge Urrutia","orcid":"https://orcid.org/0000-0002-4158-5979"},"institutions":[{"id":"https://openalex.org/I153718931","display_name":"University of Ottawa","ror":"https://ror.org/03c4mmv16","country_code":"CA","type":"education","lineage":["https://openalex.org/I153718931"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Jorge Urrutia","raw_affiliation_strings":["Department of Computer Science, University of Ottawa, Ottawa, Ontario, Canada","Dept, of Computer Science, University of Ottawa, Ottawa, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Ottawa, Ottawa, Ontario, Canada","institution_ids":["https://openalex.org/I153718931"]},{"raw_affiliation_string":"Dept, of Computer Science, University of Ottawa, Ottawa, Canada","institution_ids":["https://openalex.org/I153718931"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070533280","display_name":"Joseph Zaks","orcid":null},"institutions":[{"id":"https://openalex.org/I91203450","display_name":"University of Haifa","ror":"https://ror.org/02f009v59","country_code":"IL","type":"education","lineage":["https://openalex.org/I91203450"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Joseph Zaks","raw_affiliation_strings":["Department of Mathematics, University of Haifa, Haifa, Israel","Department of Mathematics, University of Haifa, Haifa, ISRAEL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Haifa, Haifa, Israel","institution_ids":["https://openalex.org/I91203450"]},{"raw_affiliation_string":"Department of Mathematics, University of Haifa, Haifa, ISRAEL","institution_ids":["https://openalex.org/I91203450"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.3678,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.53594549,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"7","issue":"2","first_page":"189","last_page":"195"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10831","display_name":"Cell Adhesion Molecules Research","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/2723","display_name":"Immunology and Allergy"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},"topics":[{"id":"https://openalex.org/T10831","display_name":"Cell Adhesion Molecules Research","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/2723","display_name":"Immunology and Allergy"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11159","display_name":"Manufacturing Process and Optimization","score":0.9843999743461609,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing 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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9807999730110168,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.8760381937026978},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8734346032142639},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7087345123291016},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.684840202331543},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6219885349273682},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5657005906105042},{"id":"https://openalex.org/keywords/line-segment","display_name":"Line segment","score":0.5460644960403442},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.5179135203361511},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4388800859451294},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.18921777606010437},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09776902198791504}],"concepts":[{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.8760381937026978},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8734346032142639},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7087345123291016},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.684840202331543},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6219885349273682},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5657005906105042},{"id":"https://openalex.org/C182124507","wikidata":"https://www.wikidata.org/wiki/Q166154","display_name":"Line segment","level":2,"score":0.5460644960403442},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.5179135203361511},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4388800859451294},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.18921777606010437},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09776902198791504},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02187835","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02187835","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02187835.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete & Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/bf02187835","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02187835","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02187835.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":"Discrete & Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2012974186.pdf","grobid_xml":"https://content.openalex.org/works/W2012974186.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W1967140987","https://openalex.org/W1994048022","https://openalex.org/W2466564642","https://openalex.org/W2538629093"],"related_works":["https://openalex.org/W4386395423","https://openalex.org/W2019903130","https://openalex.org/W4226058339","https://openalex.org/W2011903683","https://openalex.org/W4221156915","https://openalex.org/W4366562581","https://openalex.org/W2049589989","https://openalex.org/W1519914687","https://openalex.org/W2182952931","https://openalex.org/W122487145"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}