{"id":"https://openalex.org/W2061577768","doi":"https://doi.org/10.1007/bf01586042","title":"Optimal partitions having disjoint convex and conic hulls","display_name":"Optimal partitions having disjoint convex and conic hulls","publication_year":1992,"publication_date":"1992-02-01","ids":{"openalex":"https://openalex.org/W2061577768","doi":"https://doi.org/10.1007/bf01586042","mag":"2061577768"},"language":"en","primary_location":{"id":"doi:10.1007/bf01586042","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01586042","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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/A5083031493","display_name":"Earl Barnes","orcid":null},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E. R. Barnes","raw_affiliation_strings":["School of Industrial and System Engineering, Georgia Institute of Technology, 30332, Atlanta, GA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Industrial and System Engineering, Georgia Institute of Technology, 30332, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112832162","display_name":"Alan J. Hoffman","orcid":null},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. J. Hoffman","raw_affiliation_strings":["IBM T.J. Watson Research Center, 10598, Yorktown Heights, NY, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM T.J. Watson Research Center, 10598, Yorktown Heights, NY, USA","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044612344","display_name":"Uriel G. Rothblum","orcid":null},"institutions":[{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]},{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]},{"id":"https://openalex.org/I4210096112","display_name":"Rutgers Sexual and Reproductive Health and Rights","ror":"https://ror.org/00rcvgx40","country_code":"NL","type":"other","lineage":["https://openalex.org/I4210096112"]}],"countries":["IL","NL","US"],"is_corresponding":false,"raw_author_name":"Uriel G. Rothblum","raw_affiliation_strings":["Faculty of Industrial Engineering and Management, Technion \u2014 Israel Institute of Technology, 32000, Haifa, Israel","RUTCOR \u2014 Rutgers Center for Operations Research, Hill Center for Mathematical Sciences, Rutgers University, 08904, New Brunswick, NJ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Industrial Engineering and Management, Technion \u2014 Israel Institute of Technology, 32000, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"RUTCOR \u2014 Rutgers Center for Operations Research, Hill Center for Mathematical Sciences, Rutgers University, 08904, New Brunswick, NJ, USA","institution_ids":["https://openalex.org/I102322142","https://openalex.org/I4210096112"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.363,"has_fulltext":false,"cited_by_count":66,"citation_normalized_percentile":{"value":0.92904152,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"54","issue":"1-3","first_page":"69","last_page":"86"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9987000226974487,"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/T10545","display_name":"Optimization and Variational Analysis","score":0.9987000226974487,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10500","display_name":"Sparse and Compressive Sensing Techniques","score":0.9939000010490417,"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/mathematics","display_name":"Mathematics","score":0.8365603685379028},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.831531286239624},{"id":"https://openalex.org/keywords/conic-section","display_name":"Conic section","score":0.7725427150726318},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7456945180892944},{"id":"https://openalex.org/keywords/extreme-point","display_name":"Extreme point","score":0.7095488905906677},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.6747578382492065},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.6633557081222534},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.5973840355873108},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.489319771528244},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.4870367646217346},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.46778663992881775},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.44098734855651855},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38905227184295654},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.2261449694633484},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06720051169395447}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8365603685379028},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.831531286239624},{"id":"https://openalex.org/C108598597","wikidata":"https://www.wikidata.org/wiki/Q124255","display_name":"Conic section","level":2,"score":0.7725427150726318},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7456945180892944},{"id":"https://openalex.org/C39847760","wikidata":"https://www.wikidata.org/wiki/Q1385465","display_name":"Extreme point","level":2,"score":0.7095488905906677},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.6747578382492065},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6633557081222534},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.5973840355873108},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.489319771528244},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.4870367646217346},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.46778663992881775},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.44098734855651855},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38905227184295654},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.2261449694633484},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06720051169395447},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01586042","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01586042","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","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":15,"referenced_works":["https://openalex.org/W92515819","https://openalex.org/W1516745961","https://openalex.org/W1571552128","https://openalex.org/W1963547452","https://openalex.org/W2014228444","https://openalex.org/W2021051430","https://openalex.org/W2033852356","https://openalex.org/W2035409768","https://openalex.org/W2098612971","https://openalex.org/W2121774330","https://openalex.org/W2288448955","https://openalex.org/W4240458717","https://openalex.org/W4301808069","https://openalex.org/W6603758778","https://openalex.org/W6630989772"],"related_works":["https://openalex.org/W142701514","https://openalex.org/W2300145982","https://openalex.org/W1992352038","https://openalex.org/W2375652826","https://openalex.org/W2363904277","https://openalex.org/W2580512045","https://openalex.org/W2578380588","https://openalex.org/W1569666406","https://openalex.org/W2048874717","https://openalex.org/W2079789648"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}