{"id":"https://openalex.org/W3180033180","doi":"https://doi.org/10.1145/3452143.3465538","title":"Extending the Fundamental Theorem of Linear Programming for Strict Inequalities","display_name":"Extending the Fundamental Theorem of Linear Programming for Strict Inequalities","publication_year":2021,"publication_date":"2021-07-13","ids":{"openalex":"https://openalex.org/W3180033180","doi":"https://doi.org/10.1145/3452143.3465538","mag":"3180033180"},"language":"en","primary_location":{"id":"doi:10.1145/3452143.3465538","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3452143.3465538","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2021 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-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/A5024597984","display_name":"Jasper Nalbach","orcid":"https://orcid.org/0000-0002-2641-1380"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Jasper Nalbach","raw_affiliation_strings":["RWTH Aachen University, Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068015318","display_name":"Erika \u00c1brah\u00e1m","orcid":"https://orcid.org/0000-0002-5647-6134"},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Erika \u00c1brah\u00e1m","raw_affiliation_strings":["RWTH Aachen University, Aachen, Germany"],"affiliations":[{"raw_affiliation_string":"RWTH Aachen University, Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000647607","display_name":"Gereon Kremer","orcid":"https://orcid.org/0000-0002-0393-5739"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gereon Kremer","raw_affiliation_strings":["Stanford University, Stanford, CA, USA"],"affiliations":[{"raw_affiliation_string":"Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5024597984"],"corresponding_institution_ids":["https://openalex.org/I887968799"],"apc_list":null,"apc_paid":null,"fwci":0.6237,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64886008,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"313","last_page":"320"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9987999796867371,"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"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9987999796867371,"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/T10142","display_name":"Formal Methods in Verification","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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9937999844551086,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.48382797837257385},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48381441831588745},{"id":"https://openalex.org/keywords/inequality","display_name":"Inequality","score":0.46733129024505615},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43955352902412415},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36339271068573},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.35220855474472046},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.33977288007736206},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.32002511620521545},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2401922643184662},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15458786487579346}],"concepts":[{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.48382797837257385},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48381441831588745},{"id":"https://openalex.org/C45555294","wikidata":"https://www.wikidata.org/wiki/Q28113351","display_name":"Inequality","level":2,"score":0.46733129024505615},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43955352902412415},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36339271068573},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.35220855474472046},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33977288007736206},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.32002511620521545},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2401922643184662},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15458786487579346},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3452143.3465538","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3452143.3465538","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2021 International Symposium on Symbolic and Algebraic Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:publications.rwth-aachen.de:823081","is_oa":false,"landing_page_url":"https://publications.rwth-aachen.de/record/823081","pdf_url":null,"source":{"id":"https://openalex.org/S4306401033","display_name":"RWTH Publications (RWTH Aachen)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I887968799","host_organization_name":"RWTH Aachen University","host_organization_lineage":["https://openalex.org/I887968799"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ISSAC '21 : Proceedings of the 2021 International Symposium on Symbolic and Algebraic Computation : July 18-23, 2021, Virtual Event, Russian Federation / General Chair: Fr\u00e9d\u00e9ric Chyzak ; Program Committee Chair: George Labahn ; Proceedings Editor: Marc Mezzarobba<br/>International Symposium on Symbolic and Algebraic Computation, ISSAC '21, online, 2021-07-18 - 2021-07-23","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6299999952316284,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W87140126","https://openalex.org/W642313811","https://openalex.org/W1480909796","https://openalex.org/W1531154924","https://openalex.org/W1554378316","https://openalex.org/W1569631227","https://openalex.org/W1995238279","https://openalex.org/W1995315989","https://openalex.org/W2032938251","https://openalex.org/W2065229701","https://openalex.org/W2076653141","https://openalex.org/W2108673245","https://openalex.org/W2125967324","https://openalex.org/W2145377870","https://openalex.org/W2168352426","https://openalex.org/W2221612704","https://openalex.org/W2266946488","https://openalex.org/W2277676404","https://openalex.org/W2295061292","https://openalex.org/W2407753303","https://openalex.org/W2488157396","https://openalex.org/W2795526566","https://openalex.org/W3034805161","https://openalex.org/W3165710038","https://openalex.org/W4205158545","https://openalex.org/W4246691913"],"related_works":["https://openalex.org/W2353153612","https://openalex.org/W2340243119","https://openalex.org/W2940853081","https://openalex.org/W4230623537","https://openalex.org/W2921722915","https://openalex.org/W2063488590","https://openalex.org/W3046926816","https://openalex.org/W2332694326","https://openalex.org/W4249089511","https://openalex.org/W1990165789"],"abstract_inverted_index":{"Usual":[0],"formulations":[1],"of":[2,6],"the":[3],"fundamental":[4],"theorem":[5],"linear":[7],"programming":[8],"only":[9],"consider":[10],"weak":[11],"inequalities":[12],"as":[13],"side":[14],"conditions.":[15]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}