{"id":"https://openalex.org/W2074116126","doi":"https://doi.org/10.1007/s10107-003-0495-2","title":"An improved semidefinite programming relaxation for the satisfiability problem","display_name":"An improved semidefinite programming relaxation for the satisfiability problem","publication_year":2004,"publication_date":"2004-10-01","ids":{"openalex":"https://openalex.org/W2074116126","doi":"https://doi.org/10.1007/s10107-003-0495-2","mag":"2074116126"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-003-0495-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-003-0495-2","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/A5005540131","display_name":"Miguel F. Anjos","orcid":"https://orcid.org/0000-0002-8258-9116"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Miguel F. Anjos","raw_affiliation_strings":["Electrical and Computer Engineering, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada","University of Waterloo, Electrical and Computer Engineering, N2L 3G1, Waterloo, Ontario, Canada#TAB#"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering, University of Waterloo, Waterloo, Ontario, N2L 3G1, Canada","institution_ids":["https://openalex.org/I151746483"]},{"raw_affiliation_string":"University of Waterloo, Electrical and Computer Engineering, N2L 3G1, Waterloo, Ontario, Canada#TAB#","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5005540131"],"corresponding_institution_ids":["https://openalex.org/I151746483"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.7996,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.93245354,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"102","issue":"3","first_page":"589","last_page":"608"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9973000288009644,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9973000288009644,"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/T10142","display_name":"Formal Methods in Verification","score":0.9955000281333923,"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":0.991100013256073,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/semidefinite-programming","display_name":"Semidefinite programming","score":0.8042154312133789},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.768581748008728},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.6660442352294922},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.6515607833862305},{"id":"https://openalex.org/keywords/maximum-cut","display_name":"Maximum cut","score":0.517366349697113},{"id":"https://openalex.org/keywords/maximum-satisfiability-problem","display_name":"Maximum satisfiability problem","score":0.49749520421028137},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.49187731742858887},{"id":"https://openalex.org/keywords/conjunctive-normal-form","display_name":"Conjunctive normal form","score":0.4690062701702118},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.456603080034256},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4495389461517334},{"id":"https://openalex.org/keywords/semidefinite-embedding","display_name":"Semidefinite embedding","score":0.44375720620155334},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4246743321418762},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3628060519695282},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33506566286087036},{"id":"https://openalex.org/keywords/quadratically-constrained-quadratic-program","display_name":"Quadratically constrained quadratic program","score":0.3335873782634735},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26032647490501404},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.23439297080039978},{"id":"https://openalex.org/keywords/quadratic-programming","display_name":"Quadratic programming","score":0.20380887389183044}],"concepts":[{"id":"https://openalex.org/C101901036","wikidata":"https://www.wikidata.org/wiki/Q2269096","display_name":"Semidefinite programming","level":2,"score":0.8042154312133789},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.768581748008728},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.6660442352294922},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6515607833862305},{"id":"https://openalex.org/C165526019","wikidata":"https://www.wikidata.org/wiki/Q942557","display_name":"Maximum cut","level":3,"score":0.517366349697113},{"id":"https://openalex.org/C111797529","wikidata":"https://www.wikidata.org/wiki/Q17080584","display_name":"Maximum satisfiability problem","level":3,"score":0.49749520421028137},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49187731742858887},{"id":"https://openalex.org/C16221470","wikidata":"https://www.wikidata.org/wiki/Q846564","display_name":"Conjunctive normal form","level":2,"score":0.4690062701702118},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.456603080034256},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4495389461517334},{"id":"https://openalex.org/C206818286","wikidata":"https://www.wikidata.org/wiki/Q7449403","display_name":"Semidefinite embedding","level":4,"score":0.44375720620155334},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4246743321418762},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3628060519695282},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33506566286087036},{"id":"https://openalex.org/C65148998","wikidata":"https://www.wikidata.org/wiki/Q7268373","display_name":"Quadratically constrained quadratic program","level":3,"score":0.3335873782634735},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26032647490501404},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.23439297080039978},{"id":"https://openalex.org/C81845259","wikidata":"https://www.wikidata.org/wiki/Q290117","display_name":"Quadratic programming","level":2,"score":0.20380887389183044},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1007/s10107-003-0495-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-003-0495-2","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"},{"id":"pmh:oai:e-archive.informatik.uni-koeln.de:439","is_oa":false,"landing_page_url":"http://e-archive.informatik.uni-koeln.de/439/1/zaik2002-439.ps","pdf_url":null,"source":{"id":"https://openalex.org/S4306401304","display_name":"Computer Science Publication Server (University of Cologne)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I180923762","host_organization_name":"University of Cologne","host_organization_lineage":["https://openalex.org/I180923762"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.156.586","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.156.586","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.19.8332","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.19.8332","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.zaik.uni-koeln.de/~paper/unzip.html?file=zaik2002-439.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.73.379","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.73.379","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.zaik.uni-koeln.de/~ftp/paper/zaik2002-439.ps.gz","raw_type":"text"},{"id":"pmh:oai:publications.polymtl.ca:38299","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/38299/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W5795904","https://openalex.org/W64776898","https://openalex.org/W1518383689","https://openalex.org/W1532925583","https://openalex.org/W1562502650","https://openalex.org/W1627230931","https://openalex.org/W1967073510","https://openalex.org/W1967184028","https://openalex.org/W1967344706","https://openalex.org/W1970193303","https://openalex.org/W1985123706","https://openalex.org/W1997672673","https://openalex.org/W1999913571","https://openalex.org/W2001033871","https://openalex.org/W2004660767","https://openalex.org/W2013621063","https://openalex.org/W2023710022","https://openalex.org/W2026820987","https://openalex.org/W2026958591","https://openalex.org/W2035016254","https://openalex.org/W2038690430","https://openalex.org/W2046371296","https://openalex.org/W2049143039","https://openalex.org/W2050091725","https://openalex.org/W2051306216","https://openalex.org/W2057441901","https://openalex.org/W2061607408","https://openalex.org/W2065110770","https://openalex.org/W2068848618","https://openalex.org/W2069313750","https://openalex.org/W2071143636","https://openalex.org/W2078289947","https://openalex.org/W2106264302","https://openalex.org/W2136811867","https://openalex.org/W2137373403","https://openalex.org/W2146826069","https://openalex.org/W2153143225","https://openalex.org/W2210840110","https://openalex.org/W2495457432"],"related_works":["https://openalex.org/W2154474334","https://openalex.org/W2348903644","https://openalex.org/W2963321374","https://openalex.org/W3034623271","https://openalex.org/W2982111769","https://openalex.org/W2610304232","https://openalex.org/W4301514548","https://openalex.org/W2366269287","https://openalex.org/W121484681","https://openalex.org/W2912475851"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
