{"id":"https://openalex.org/W2140109884","doi":"https://doi.org/10.1007/s00186-008-0255-4","title":"Edge-swapping algorithms for the minimum fundamental cycle basis problem","display_name":"Edge-swapping algorithms for the minimum fundamental cycle basis problem","publication_year":2008,"publication_date":"2008-10-20","ids":{"openalex":"https://openalex.org/W2140109884","doi":"https://doi.org/10.1007/s00186-008-0255-4","mag":"2140109884"},"language":"en","primary_location":{"id":"doi:10.1007/s00186-008-0255-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00186-008-0255-4","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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 Methods of Operations Research","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/A5046316138","display_name":"E. Amaldi","orcid":"https://orcid.org/0000-0002-3553-2571"},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Edoardo Amaldi","raw_affiliation_strings":["DEI, Politecnico di Milano, Piazza L. da Vinci 32, 20133, Milan, Italy","DEI \u2014 Politecnico di Milano, Milan, Italy"],"affiliations":[{"raw_affiliation_string":"DEI, Politecnico di Milano, Piazza L. da Vinci 32, 20133, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"DEI \u2014 Politecnico di Milano, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046138085","display_name":"Leo Liberti","orcid":"https://orcid.org/0000-0003-3139-6821"},"institutions":[{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Leo Liberti","raw_affiliation_strings":["LIX, \u00c9cole Polytechnique, 91128, Palaiseau, France","Ecole Polytechnique"],"affiliations":[{"raw_affiliation_string":"LIX, \u00c9cole Polytechnique, 91128, Palaiseau, France","institution_ids":["https://openalex.org/I4210139461"]},{"raw_affiliation_string":"Ecole Polytechnique","institution_ids":["https://openalex.org/I142476485"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053677027","display_name":"Francesco Maffioli","orcid":null},"institutions":[{"id":"https://openalex.org/I93860229","display_name":"Politecnico di Milano","ror":"https://ror.org/01nffqt88","country_code":"IT","type":"education","lineage":["https://openalex.org/I93860229"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Francesco Maffioli","raw_affiliation_strings":["DEI, Politecnico di Milano, Piazza L. da Vinci 32, 20133, Milan, Italy","DEI \u2014 Politecnico di Milano, Milan, Italy"],"affiliations":[{"raw_affiliation_string":"DEI, Politecnico di Milano, Piazza L. da Vinci 32, 20133, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]},{"raw_affiliation_string":"DEI \u2014 Politecnico di Milano, Milan, Italy","institution_ids":["https://openalex.org/I93860229"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091887230","display_name":"Nelson Maculan","orcid":"https://orcid.org/0000-0002-3897-3356"},"institutions":[{"id":"https://openalex.org/I122140584","display_name":"Universidade Federal do Rio de Janeiro","ror":"https://ror.org/03490as77","country_code":"BR","type":"education","lineage":["https://openalex.org/I122140584"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Nelson Maculan","raw_affiliation_strings":["COPPE, Universidade Federal do Rio de Janeiro, P.O. Box 68511, Rio de Janeiro, 21941-972, Brazil","Universidade Federal do Rio de Janeiro"],"affiliations":[{"raw_affiliation_string":"COPPE, Universidade Federal do Rio de Janeiro, P.O. Box 68511, Rio de Janeiro, 21941-972, Brazil","institution_ids":["https://openalex.org/I122140584"]},{"raw_affiliation_string":"Universidade Federal do Rio de Janeiro","institution_ids":["https://openalex.org/I122140584"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5046316138"],"corresponding_institution_ids":["https://openalex.org/I93860229"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.3403,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.91971282,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"69","issue":"2","first_page":"205","last_page":"233"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10567","display_name":"Vehicle Routing Optimization Methods","score":0.9937000274658203,"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":0.9937000274658203,"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/T10142","display_name":"Formal Methods in Verification","score":0.9858999848365784,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9772999882698059,"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/tabu-search","display_name":"Tabu search","score":0.6417900919914246},{"id":"https://openalex.org/keywords/spanning-tree","display_name":"Spanning tree","score":0.582679808139801},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5779385566711426},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5162584781646729},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5024192333221436},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4938147962093353},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48199835419654846},{"id":"https://openalex.org/keywords/minimum-spanning-tree","display_name":"Minimum spanning tree","score":0.4813859760761261},{"id":"https://openalex.org/keywords/cycle-basis","display_name":"Cycle basis","score":0.47545120120048523},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.4570368528366089},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.45593470335006714},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4197225272655487},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4006863832473755},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.37552687525749207},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.22502288222312927}],"concepts":[{"id":"https://openalex.org/C123370116","wikidata":"https://www.wikidata.org/wiki/Q1424540","display_name":"Tabu search","level":2,"score":0.6417900919914246},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.582679808139801},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5779385566711426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5162584781646729},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5024192333221436},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4938147962093353},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48199835419654846},{"id":"https://openalex.org/C13743678","wikidata":"https://www.wikidata.org/wiki/Q240464","display_name":"Minimum spanning tree","level":2,"score":0.4813859760761261},{"id":"https://openalex.org/C26752605","wikidata":"https://www.wikidata.org/wiki/Q16766188","display_name":"Cycle basis","level":5,"score":0.47545120120048523},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.4570368528366089},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.45593470335006714},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4197225272655487},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4006863832473755},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.37552687525749207},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.22502288222312927},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"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/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/s00186-008-0255-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00186-008-0255-4","pdf_url":null,"source":{"id":"https://openalex.org/S126160977","display_name":"Mathematical Methods of Operations Research","issn_l":"1432-2994","issn":["1432-2994","1432-5217"],"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 Methods of Operations Research","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.144.4536","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.144.4536","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.lix.polytechnique.fr/~liberti/fcb.pdf","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:compst:v:69:y:2009:i:2:p:205-233","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s00186-008-0255-4","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":"","raw_type":"article"},{"id":"pmh:oai:re.public.polimi.it:11311/513559","is_oa":false,"landing_page_url":"http://hdl.handle.net/11311/513559","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:re.public.polimi.it:11311/555310","is_oa":false,"landing_page_url":"http://hdl.handle.net/11311/555310","pdf_url":null,"source":{"id":"https://openalex.org/S4306400312","display_name":"Virtual Community of Pathological Anatomy (University of Castilla La Mancha)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79189158","host_organization_name":"University of Castilla-La Mancha","host_organization_lineage":["https://openalex.org/I79189158"],"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":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.5199999809265137,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W129339788","https://openalex.org/W943377555","https://openalex.org/W1502094006","https://openalex.org/W1587861032","https://openalex.org/W1592018580","https://openalex.org/W1839839470","https://openalex.org/W1965919443","https://openalex.org/W1966878439","https://openalex.org/W1976529326","https://openalex.org/W1977464943","https://openalex.org/W1978086920","https://openalex.org/W1981859328","https://openalex.org/W1984040953","https://openalex.org/W1988738304","https://openalex.org/W2022871748","https://openalex.org/W2029673229","https://openalex.org/W2042540352","https://openalex.org/W2054148890","https://openalex.org/W2069657950","https://openalex.org/W2072394396","https://openalex.org/W2086012735","https://openalex.org/W2087223060","https://openalex.org/W2095458137","https://openalex.org/W2106371135","https://openalex.org/W2113019421","https://openalex.org/W2113547115","https://openalex.org/W2134255492","https://openalex.org/W2156153879","https://openalex.org/W2156803748","https://openalex.org/W2159425259","https://openalex.org/W2162278146","https://openalex.org/W2339500526","https://openalex.org/W2571029112","https://openalex.org/W2757616806","https://openalex.org/W3107939723","https://openalex.org/W3138832177","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2099915933","https://openalex.org/W2418231958","https://openalex.org/W4380840098","https://openalex.org/W3116169590","https://openalex.org/W1703428550","https://openalex.org/W2044443696","https://openalex.org/W4255149105","https://openalex.org/W2951308702","https://openalex.org/W2571550117","https://openalex.org/W1977899923"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}