{"id":"https://openalex.org/W1976268555","doi":"https://doi.org/10.1109/cec.2009.4983106","title":"Continuous-space embedding genetic algorithm applied to the Degree Constrained Minimum Spanning Tree Problem","display_name":"Continuous-space embedding genetic algorithm applied to the Degree Constrained Minimum Spanning Tree Problem","publication_year":2009,"publication_date":"2009-05-01","ids":{"openalex":"https://openalex.org/W1976268555","doi":"https://doi.org/10.1109/cec.2009.4983106","mag":"1976268555"},"language":"en","primary_location":{"id":"doi:10.1109/cec.2009.4983106","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2009.4983106","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE Congress on Evolutionary 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/A5028238140","display_name":"Tiago Le\u00e3o Pereira","orcid":null},"institutions":[{"id":"https://openalex.org/I110200422","display_name":"Universidade Federal de Minas Gerais","ror":"https://ror.org/0176yjw32","country_code":"BR","type":"education","lineage":["https://openalex.org/I110200422"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Tiago L. Pereira","raw_affiliation_strings":["Department of Electrical Engineering, Universidade Federal de Minas Gerais, Brazil","Department of Electrical Engineering, Universidade Federal de Minas Gerais, Brazil#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Universidade Federal de Minas Gerais, Brazil","institution_ids":["https://openalex.org/I110200422"]},{"raw_affiliation_string":"Department of Electrical Engineering, Universidade Federal de Minas Gerais, Brazil#TAB#","institution_ids":["https://openalex.org/I110200422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5081008483","display_name":"Eduardo G. Carrano","orcid":"https://orcid.org/0000-0003-3368-4245"},"institutions":[{"id":"https://openalex.org/I4210136482","display_name":"Federal Center for Technological Education of Minas Gerais","ror":"https://ror.org/04ch49185","country_code":"BR","type":"education","lineage":["https://openalex.org/I4210136482"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Eduardo G. Carrano","raw_affiliation_strings":["Centro Federal de Educa\u00e7\u00e3o Tecnol\u00f3gica de Minas Gerais, Brazil","Centro Federal de Educa\u00e7\u00e3o Tecnol\u00f3gica de Minas Gerais Brazil"],"affiliations":[{"raw_affiliation_string":"Centro Federal de Educa\u00e7\u00e3o Tecnol\u00f3gica de Minas Gerais, Brazil","institution_ids":["https://openalex.org/I4210136482"]},{"raw_affiliation_string":"Centro Federal de Educa\u00e7\u00e3o Tecnol\u00f3gica de Minas Gerais Brazil","institution_ids":["https://openalex.org/I4210136482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084933585","display_name":"Ricardo H. C. Takahashi","orcid":"https://orcid.org/0000-0003-0814-6314"},"institutions":[{"id":"https://openalex.org/I110200422","display_name":"Universidade Federal de Minas Gerais","ror":"https://ror.org/0176yjw32","country_code":"BR","type":"education","lineage":["https://openalex.org/I110200422"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Ricardo H. C. Takahashi","raw_affiliation_strings":["Department of Mathematics, Universidade Federal de Minas Gerais, Brazil"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Universidade Federal de Minas Gerais, Brazil","institution_ids":["https://openalex.org/I110200422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074650590","display_name":"Elizabeth F. Wanner","orcid":"https://orcid.org/0000-0001-6450-3043"},"institutions":[{"id":"https://openalex.org/I10824318","display_name":"Universidade Federal de Ouro Preto","ror":"https://ror.org/056s65p46","country_code":"BR","type":"education","lineage":["https://openalex.org/I10824318"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Elizabeth F. Wanner","raw_affiliation_strings":["Department of Mathematics, Universidade Federal de Ouro Preto, Brazil","[Department of Mathematics, Universidade Federal de Ouro Preto, Brazil]"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Universidade Federal de Ouro Preto, Brazil","institution_ids":["https://openalex.org/I10824318"]},{"raw_affiliation_string":"[Department of Mathematics, Universidade Federal de Ouro Preto, Brazil]","institution_ids":["https://openalex.org/I10824318"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110496158","display_name":"Oriane M. Neto","orcid":null},"institutions":[{"id":"https://openalex.org/I110200422","display_name":"Universidade Federal de Minas Gerais","ror":"https://ror.org/0176yjw32","country_code":"BR","type":"education","lineage":["https://openalex.org/I110200422"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Oriane M. Neto","raw_affiliation_strings":["Department of Electrical Engineering, Universidade Federal de Minas Gerais, Brazil","Department of Electrical Engineering, Universidade Federal de Minas Gerais, Brazil#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Universidade Federal de Minas Gerais, Brazil","institution_ids":["https://openalex.org/I110200422"]},{"raw_affiliation_string":"Department of Electrical Engineering, Universidade Federal de Minas Gerais, Brazil#TAB#","institution_ids":["https://openalex.org/I110200422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5028238140"],"corresponding_institution_ids":["https://openalex.org/I110200422"],"apc_list":null,"apc_paid":null,"fwci":0.4362,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.70842666,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"27","issue":null,"first_page":"1391","last_page":"1398"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9962999820709229,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/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/T10847","display_name":"Advanced Optical Network Technologies","score":0.9864000082015991,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6880538463592529},{"id":"https://openalex.org/keywords/distributed-minimum-spanning-tree","display_name":"Distributed minimum spanning tree","score":0.6299260258674622},{"id":"https://openalex.org/keywords/minimum-spanning-tree","display_name":"Minimum spanning tree","score":0.6008794903755188},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5814335346221924},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5788880586624146},{"id":"https://openalex.org/keywords/spanning-tree","display_name":"Spanning tree","score":0.5573018789291382},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5508133769035339},{"id":"https://openalex.org/keywords/kruskals-algorithm","display_name":"Kruskal's algorithm","score":0.521430253982544},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5162336826324463},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.499312162399292},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49472305178642273},{"id":"https://openalex.org/keywords/population-based-incremental-learning","display_name":"Population-based incremental learning","score":0.4808979034423828},{"id":"https://openalex.org/keywords/evolutionary-algorithm","display_name":"Evolutionary algorithm","score":0.4662223160266876},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.4507279098033905},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.421394407749176},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.4127407371997833},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.4117840826511383},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4023175835609436},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11757448315620422},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.07457628846168518}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6880538463592529},{"id":"https://openalex.org/C65949645","wikidata":"https://www.wikidata.org/wiki/Q5283163","display_name":"Distributed minimum spanning tree","level":3,"score":0.6299260258674622},{"id":"https://openalex.org/C13743678","wikidata":"https://www.wikidata.org/wiki/Q240464","display_name":"Minimum spanning tree","level":2,"score":0.6008794903755188},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5814335346221924},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5788880586624146},{"id":"https://openalex.org/C64331007","wikidata":"https://www.wikidata.org/wiki/Q831672","display_name":"Spanning tree","level":2,"score":0.5573018789291382},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5508133769035339},{"id":"https://openalex.org/C63645285","wikidata":"https://www.wikidata.org/wiki/Q797860","display_name":"Kruskal's algorithm","level":3,"score":0.521430253982544},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5162336826324463},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.499312162399292},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49472305178642273},{"id":"https://openalex.org/C184497298","wikidata":"https://www.wikidata.org/wiki/Q7229773","display_name":"Population-based incremental learning","level":3,"score":0.4808979034423828},{"id":"https://openalex.org/C159149176","wikidata":"https://www.wikidata.org/wiki/Q14489129","display_name":"Evolutionary algorithm","level":2,"score":0.4662223160266876},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.4507279098033905},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.421394407749176},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.4127407371997833},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.4117840826511383},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4023175835609436},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11757448315620422},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.07457628846168518},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","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},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/cec.2009.4983106","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cec.2009.4983106","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE Congress on Evolutionary Computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1574175429","https://openalex.org/W1914907512","https://openalex.org/W1948148225","https://openalex.org/W1965680834","https://openalex.org/W1995670816","https://openalex.org/W2017927472","https://openalex.org/W2022563199","https://openalex.org/W2082281445","https://openalex.org/W2099564043","https://openalex.org/W2114631684","https://openalex.org/W2126261311","https://openalex.org/W2142146559","https://openalex.org/W2159494710","https://openalex.org/W2162974503","https://openalex.org/W4255306344","https://openalex.org/W6683679523"],"related_works":["https://openalex.org/W4380840098","https://openalex.org/W2418231958","https://openalex.org/W2387385213","https://openalex.org/W4242086819","https://openalex.org/W2899787781","https://openalex.org/W2381121915","https://openalex.org/W2074214908","https://openalex.org/W4206043061","https://openalex.org/W2942013815","https://openalex.org/W2390742649"],"abstract_inverted_index":{"This":[0],"work":[1],"presents":[2],"an":[3],"evolutionary":[4],"approach":[5],"for":[6,35,88,102,118],"solving":[7,36],"a":[8],"difficult":[9],"problem":[10,122],"of":[11,61,77],"combinatorial":[12],"optimization,":[13],"the":[14,29,37,62,71,78,112,121],"DCMST":[15],"(degree-constrained":[16],"minimum":[17],"spanning":[18],"tree":[19],"problem).":[20],"Three":[21],"genetic":[22],"algorithms":[23,45,53,83,114],"which":[24],"embed":[25],"candidate":[26],"solutions":[27],"in":[28,99],"continuous":[30],"space":[31],"are":[32,115],"proposed":[33,82,113],"here":[34],"DCMST.":[38],"The":[39,80,108],"results":[40,87,109],"achieved":[41],"by":[42,70],"these":[43],"three":[44,56,81],"have":[46,84],"been":[47],"compared":[48],"with":[49,95,120],"four":[50],"other":[51],"existing":[52],"according":[54],"to":[55],"merit":[57],"criteria:":[58],"i)":[59],"quality":[60,91],"best":[63],"solution":[64,90],"found;":[65],"ii)":[66],"computational":[67,97],"effort":[68],"spent":[69],"algorithm,":[72],"and;":[73],"iii)":[74],"convergence":[75],"tendency":[76],"population.":[79],"provided":[85],"better":[86],"both":[89],"and":[92,104],"population":[93],"convergence,":[94],"reasonable":[96],"cost,":[98],"tests":[100],"performed":[101],"25-node":[103],"50-node":[105],"test":[106],"instances.":[107],"suggest":[110],"that":[111],"well":[116],"suited":[117],"dealing":[119],"under":[123],"study.":[124]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
