{"id":"https://openalex.org/W1990399046","doi":"https://doi.org/10.1007/s10107-006-0043-y","title":"Robust branch-cut-and-price for the Capacitated Minimum Spanning Tree problem over a large extended formulation","display_name":"Robust branch-cut-and-price for the Capacitated Minimum Spanning Tree problem over a large extended formulation","publication_year":2006,"publication_date":"2006-10-04","ids":{"openalex":"https://openalex.org/W1990399046","doi":"https://doi.org/10.1007/s10107-006-0043-y","mag":"1990399046"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-006-0043-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-006-0043-y","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/A5088693799","display_name":"Eduardo Uchoa","orcid":"https://orcid.org/0000-0002-8687-2613"},"institutions":[{"id":"https://openalex.org/I161127581","display_name":"Universidade Federal Fluminense","ror":"https://ror.org/02rjhbb08","country_code":"BR","type":"education","lineage":["https://openalex.org/I161127581"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Eduardo Uchoa","raw_affiliation_strings":["Departamento de Engenharia de Produ\u00e7ao, Universidade Federal Fluminense, Niter\u00f3i, Brazil","Universidade Federal Fluminense, Departamento de Engenharia de Produ\u00e7ao, Niter\u00f3i, Brazil#TAB#"],"affiliations":[{"raw_affiliation_string":"Departamento de Engenharia de Produ\u00e7ao, Universidade Federal Fluminense, Niter\u00f3i, Brazil","institution_ids":["https://openalex.org/I161127581"]},{"raw_affiliation_string":"Universidade Federal Fluminense, Departamento de Engenharia de Produ\u00e7ao, Niter\u00f3i, Brazil#TAB#","institution_ids":["https://openalex.org/I161127581"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040209225","display_name":"Ricardo Fukasawa","orcid":"https://orcid.org/0000-0001-8785-5906"},"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":"Ricardo Fukasawa","raw_affiliation_strings":["H. Milton Stewart School of Industrial and Systems Engineering, GeorgiaTech, Atlanta, GA, USA","GeorgiaTech, H. Milton Stewart School of Industrial and Systems Engineering, Atlanta, GA, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"H. Milton Stewart School of Industrial and Systems Engineering, GeorgiaTech, Atlanta, GA, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"GeorgiaTech, H. Milton Stewart School of Industrial and Systems Engineering, Atlanta, GA, USA#TAB#","institution_ids":["https://openalex.org/I130701444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055534896","display_name":"Jens Lysgaard","orcid":"https://orcid.org/0000-0001-7835-136X"},"institutions":[{"id":"https://openalex.org/I3129642645","display_name":"Aarhus Business College","ror":"https://ror.org/05pvcyy59","country_code":"DK","type":"education","lineage":["https://openalex.org/I3129642645"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Jens Lysgaard","raw_affiliation_strings":["Department of Business Studies, Aarhus School of Business, Aarhus, Denmark","Aarhus School of Business, Department of Business Studies, Aarhus, GA, Denmark#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Business Studies, Aarhus School of Business, Aarhus, Denmark","institution_ids":["https://openalex.org/I3129642645"]},{"raw_affiliation_string":"Aarhus School of Business, Department of Business Studies, Aarhus, GA, Denmark#TAB#","institution_ids":["https://openalex.org/I3129642645"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005419764","display_name":"Artur Alves Pessoa","orcid":"https://orcid.org/0000-0002-7421-4744"},"institutions":[{"id":"https://openalex.org/I161127581","display_name":"Universidade Federal Fluminense","ror":"https://ror.org/02rjhbb08","country_code":"BR","type":"education","lineage":["https://openalex.org/I161127581"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Artur Pessoa","raw_affiliation_strings":["Departamento de Engenharia de Produ\u00e7ao, Universidade Federal Fluminense, Niter\u00f3i, Brazil","Universidade Federal Fluminense, Departamento de Engenharia de Produ\u00e7ao, Niter\u00f3i, Brazil#TAB#"],"affiliations":[{"raw_affiliation_string":"Departamento de Engenharia de Produ\u00e7ao, Universidade Federal Fluminense, Niter\u00f3i, Brazil","institution_ids":["https://openalex.org/I161127581"]},{"raw_affiliation_string":"Universidade Federal Fluminense, Departamento de Engenharia de Produ\u00e7ao, Niter\u00f3i, Brazil#TAB#","institution_ids":["https://openalex.org/I161127581"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004898232","display_name":"Marcus Poggi de Arag\u00e3o","orcid":null},"institutions":[{"id":"https://openalex.org/I2699952","display_name":"Pontifical Catholic University of Rio de Janeiro","ror":"https://ror.org/01dg47b60","country_code":"BR","type":"education","lineage":["https://openalex.org/I2699952"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Marcus Poggi de Arag\u00e3o","raw_affiliation_strings":["Departamento de Inform\u00e1tica, PUC Rio de Janeiro, Rio de Janerio, Brazil","PUC Rio de Janeiro, Departamento de Inform\u00e1tica, Rio de Janerio, GA, Brazil#TAB#"],"affiliations":[{"raw_affiliation_string":"Departamento de Inform\u00e1tica, PUC Rio de Janeiro, Rio de Janerio, Brazil","institution_ids":["https://openalex.org/I2699952"]},{"raw_affiliation_string":"PUC Rio de Janeiro, Departamento de Inform\u00e1tica, Rio de Janerio, GA, Brazil#TAB#","institution_ids":["https://openalex.org/I2699952"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046751580","display_name":"Diogo V. Andrade","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"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Diogo Andrade","raw_affiliation_strings":["RUTCOR, Rutgers University, Piscataway, NJ, USA","Rutgers University, RUTCOR, Piscataway, NJ, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"RUTCOR, Rutgers University, Piscataway, NJ, USA","institution_ids":["https://openalex.org/I102322142"]},{"raw_affiliation_string":"Rutgers University, RUTCOR, Piscataway, NJ, USA#TAB#","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5088693799"],"corresponding_institution_ids":["https://openalex.org/I161127581"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":7.3657,"has_fulltext":false,"cited_by_count":50,"citation_normalized_percentile":{"value":0.96494756,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"112","issue":"2","first_page":"443","last_page":"472"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9995999932289124,"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/T11942","display_name":"Transportation and Mobility Innovations","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/2203","display_name":"Automotive 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/T12288","display_name":"Optimization and Search Problems","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.7591695785522461},{"id":"https://openalex.org/keywords/minimum-spanning-tree","display_name":"Minimum spanning tree","score":0.6120551824569702},{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"Branch and cut","score":0.5955118536949158},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5927717685699463},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5655935406684875},{"id":"https://openalex.org/keywords/spanning-tree","display_name":"Spanning tree","score":0.5536766052246094},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.5275594592094421},{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.5008878707885742},{"id":"https://openalex.org/keywords/linear-programming-relaxation","display_name":"Linear programming relaxation","score":0.4992995262145996},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.47925567626953125},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4397607445716858},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4277767241001129},{"id":"https://openalex.org/keywords/column-generation","display_name":"Column generation","score":0.42154112458229065},{"id":"https://openalex.org/keywords/steiner-tree-problem","display_name":"Steiner tree problem","score":0.4110533893108368},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.2908032536506653},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2906394302845001},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2787955105304718},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18693619966506958}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7591695785522461},{"id":"https://openalex.org/C13743678","wikidata":"https://www.wikidata.org/wiki/Q240464","display_name":"Minimum spanning tree","level":2,"score":0.6120551824569702},{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.5955118536949158},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5927717685699463},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5655935406684875},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.5536766052246094},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.5275594592094421},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.5008878707885742},{"id":"https://openalex.org/C25360446","wikidata":"https://www.wikidata.org/wiki/Q1512771","display_name":"Linear programming relaxation","level":3,"score":0.4992995262145996},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.47925567626953125},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4397607445716858},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4277767241001129},{"id":"https://openalex.org/C168956720","wikidata":"https://www.wikidata.org/wiki/Q3123181","display_name":"Column generation","level":2,"score":0.42154112458229065},{"id":"https://openalex.org/C76220878","wikidata":"https://www.wikidata.org/wiki/Q1764144","display_name":"Steiner tree problem","level":2,"score":0.4110533893108368},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.2908032536506653},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2906394302845001},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2787955105304718},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18693619966506958},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10107-006-0043-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-006-0043-y","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:pure.atira.dk:publications/3f2f1f70-59e4-11db-b20b-000ea68e967b","is_oa":false,"landing_page_url":"https://pure.au.dk/portal/en/publications/3f2f1f70-59e4-11db-b20b-000ea68e967b","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Uchoa, E, Fukasawa, R, Lysgaard, J, Pessoa, A, Poggi de Arag\u00e3o, M & Andrade, D 2008, 'Robust branch-cut-and-price for the Capacitated Minimum Spanning Tree problem over a large extended formulation', Mathematical Programming, vol. 112, no. 2, pp. 443-472. https://doi.org/10.1007/s10107-006-0043-y","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W252468355","https://openalex.org/W1484547884","https://openalex.org/W1564857785","https://openalex.org/W1606779053","https://openalex.org/W1666636161","https://openalex.org/W1866712623","https://openalex.org/W1967687507","https://openalex.org/W1968143987","https://openalex.org/W1970627343","https://openalex.org/W1973565128","https://openalex.org/W1980076975","https://openalex.org/W1982512167","https://openalex.org/W1987110435","https://openalex.org/W2006935476","https://openalex.org/W2012682597","https://openalex.org/W2013912214","https://openalex.org/W2017070898","https://openalex.org/W2020295203","https://openalex.org/W2021041629","https://openalex.org/W2031476167","https://openalex.org/W2035231387","https://openalex.org/W2039823842","https://openalex.org/W2050014122","https://openalex.org/W2052862856","https://openalex.org/W2054174221","https://openalex.org/W2064806410","https://openalex.org/W2070434785","https://openalex.org/W2075677840","https://openalex.org/W2084863329","https://openalex.org/W2092674712","https://openalex.org/W2096796578","https://openalex.org/W2112147420","https://openalex.org/W2118769536","https://openalex.org/W2124540286","https://openalex.org/W2127847814","https://openalex.org/W2139346168","https://openalex.org/W2141018803","https://openalex.org/W2167580124","https://openalex.org/W2171830873","https://openalex.org/W2505968561","https://openalex.org/W2622576046","https://openalex.org/W4255492803","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2171830873","https://openalex.org/W2161798622","https://openalex.org/W1531708257","https://openalex.org/W2109445739","https://openalex.org/W4230716854","https://openalex.org/W1605874004","https://openalex.org/W1480704642","https://openalex.org/W2802839594","https://openalex.org/W4236278573","https://openalex.org/W2613933337"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}