{"id":"https://openalex.org/W2150779659","doi":"https://doi.org/10.1007/s10898-012-9881-8","title":"Canonical dual approach to solving the maximum cut problem","display_name":"Canonical dual approach to solving the maximum cut problem","publication_year":2012,"publication_date":"2012-03-15","ids":{"openalex":"https://openalex.org/W2150779659","doi":"https://doi.org/10.1007/s10898-012-9881-8","mag":"2150779659"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-012-9881-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-012-9881-8","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","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/A5100628477","display_name":"Zhenbo Wang","orcid":"https://orcid.org/0000-0003-1359-4621"},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zhenbo Wang","raw_affiliation_strings":["Department of Mathematical Sciences, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027860626","display_name":"Shu\u2010Cherng Fang","orcid":"https://orcid.org/0000-0001-5087-3262"},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shu-Cherng Fang","raw_affiliation_strings":["Department of Industrial and Systems Engineering, North Carolina State University, Raleigh, NC, USA"],"affiliations":[{"raw_affiliation_string":"Department of Industrial and Systems Engineering, North Carolina State University, Raleigh, NC, USA","institution_ids":["https://openalex.org/I137902535"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048360771","display_name":"David Yang Gao","orcid":"https://orcid.org/0000-0002-2245-8050"},"institutions":[{"id":"https://openalex.org/I149672521","display_name":"Federation University","ror":"https://ror.org/05qbzwv83","country_code":"AU","type":"education","lineage":["https://openalex.org/I149672521"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"David Y. Gao","raw_affiliation_strings":["School of Science, Information Technology and Engineering, University of Ballarat, Ballarat, VIC, Australia"],"affiliations":[{"raw_affiliation_string":"School of Science, Information Technology and Engineering, University of Ballarat, Ballarat, VIC, Australia","institution_ids":["https://openalex.org/I149672521"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023378662","display_name":"Wenxun Xing","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenxun Xing","raw_affiliation_strings":["Department of Mathematical Sciences, Tsinghua University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100628477"],"corresponding_institution_ids":["https://openalex.org/I99065089"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":12.7035,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.99328132,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"54","issue":"2","first_page":"341","last_page":"351"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9973000288009644,"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":0.9973000288009644,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9940000176429749,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9937999844551086,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/mathematics","display_name":"Mathematics","score":0.8906692266464233},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.673708438873291},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.6270392537117004},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.6055218577384949},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5256724953651428},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.48175764083862305},{"id":"https://openalex.org/keywords/feasible-region","display_name":"Feasible region","score":0.4809783697128296},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.42899128794670105},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4155727028846741},{"id":"https://openalex.org/keywords/perturbation-function","display_name":"Perturbation function","score":0.4125528037548065},{"id":"https://openalex.org/keywords/maximum-principle","display_name":"Maximum principle","score":0.41142377257347107},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4101048409938812},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.3114098906517029},{"id":"https://openalex.org/keywords/optimal-control","display_name":"Optimal control","score":0.17350691556930542},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.062183678150177}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8906692266464233},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.673708438873291},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.6270392537117004},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.6055218577384949},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5256724953651428},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.48175764083862305},{"id":"https://openalex.org/C177067428","wikidata":"https://www.wikidata.org/wiki/Q17013331","display_name":"Feasible region","level":2,"score":0.4809783697128296},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.42899128794670105},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4155727028846741},{"id":"https://openalex.org/C102144036","wikidata":"https://www.wikidata.org/wiki/Q7170952","display_name":"Perturbation function","level":5,"score":0.4125528037548065},{"id":"https://openalex.org/C31010330","wikidata":"https://www.wikidata.org/wiki/Q1914255","display_name":"Maximum principle","level":3,"score":0.41142377257347107},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4101048409938812},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.3114098906517029},{"id":"https://openalex.org/C91575142","wikidata":"https://www.wikidata.org/wiki/Q1971426","display_name":"Optimal control","level":2,"score":0.17350691556930542},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.062183678150177},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10898-012-9881-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-012-9881-8","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:vital:4588","is_oa":false,"landing_page_url":"http://researchonline.federation.edu.au/vital/access/HandleResolver/1959.17/44443","pdf_url":null,"source":{"id":"https://openalex.org/S4306400234","display_name":"FedUni ResearchOnline (Federation University Australia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210158496","host_organization_name":"Australian Federation of University Women \u2013 South Australia","host_organization_lineage":["https://openalex.org/I4210158496"],"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:RePEc:spr:jglopt:v:54:y:2012:i:2:p:341-351","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s10898-012-9881-8","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W291625388","https://openalex.org/W587390710","https://openalex.org/W1514382660","https://openalex.org/W1577338488","https://openalex.org/W1965908168","https://openalex.org/W1972168423","https://openalex.org/W1972604104","https://openalex.org/W1975442866","https://openalex.org/W1985123706","https://openalex.org/W2000602248","https://openalex.org/W2009472201","https://openalex.org/W2034397200","https://openalex.org/W2059991805","https://openalex.org/W2066356146","https://openalex.org/W2086917808","https://openalex.org/W2091531873","https://openalex.org/W2118825986","https://openalex.org/W2148016452","https://openalex.org/W2152442947","https://openalex.org/W2159739530","https://openalex.org/W2163428398","https://openalex.org/W2315328158","https://openalex.org/W2327365606","https://openalex.org/W2401610261","https://openalex.org/W2497916910","https://openalex.org/W3149604617","https://openalex.org/W4293820388"],"related_works":["https://openalex.org/W2096380022","https://openalex.org/W2949938480","https://openalex.org/W1944087071","https://openalex.org/W4297899479","https://openalex.org/W2361597222","https://openalex.org/W1965780386","https://openalex.org/W2003245231","https://openalex.org/W2531890813","https://openalex.org/W1588473452","https://openalex.org/W2589063463"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":9},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":9},{"year":2013,"cited_by_count":7},{"year":2012,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}