{"id":"https://openalex.org/W2058963511","doi":"https://doi.org/10.1109/tcyb.2014.2354343","title":"Approximation and Parameterized Runtime Analysis of Evolutionary Algorithms for the Maximum Cut Problem","display_name":"Approximation and Parameterized Runtime Analysis of Evolutionary Algorithms for the Maximum Cut Problem","publication_year":2014,"publication_date":"2014-09-12","ids":{"openalex":"https://openalex.org/W2058963511","doi":"https://doi.org/10.1109/tcyb.2014.2354343","mag":"2058963511","pmid":"https://pubmed.ncbi.nlm.nih.gov/25222964"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2014.2354343","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2014.2354343","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","pubmed"],"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/A5108402799","display_name":"Yuren Zhou","orcid":null},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuren Zhou","raw_affiliation_strings":["School of Computer Science and Engineering, South China University of Technology, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5051966754","display_name":"Xinsheng Lai","orcid":"https://orcid.org/0000-0002-2849-4298"},"institutions":[{"id":"https://openalex.org/I10496686","display_name":"Shangrao Normal University","ror":"https://ror.org/024qkwh22","country_code":"CN","type":"education","lineage":["https://openalex.org/I10496686"]},{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinsheng Lai","raw_affiliation_strings":["School of Computer Science and Engineering, South China University of Technology, Guangzhou, China","School of Mathematics and Computer Science, Shangrao Normal University, Shangrao, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"School of Mathematics and Computer Science, Shangrao Normal University, Shangrao, China","institution_ids":["https://openalex.org/I10496686"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026092741","display_name":"Kangshun Li","orcid":"https://orcid.org/0000-0002-0429-446X"},"institutions":[{"id":"https://openalex.org/I101479585","display_name":"South China Agricultural University","ror":"https://ror.org/05v9jqt67","country_code":"CN","type":"education","lineage":["https://openalex.org/I101479585"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kangshun Li","raw_affiliation_strings":["School of Information, South China Agricultural University, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information, South China Agricultural University, Guangzhou, China","institution_ids":["https://openalex.org/I101479585"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2431,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.82484503,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"45","issue":"8","first_page":"1491","last_page":"1498"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9976999759674072,"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"}},"topics":[{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9976999759674072,"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"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","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/T10100","display_name":"Metaheuristic Optimization Algorithms Research","score":0.9908999800682068,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/parameterized-complexity","display_name":"Parameterized complexity","score":0.7581019401550293},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7373135089874268},{"id":"https://openalex.org/keywords/maximum-cut","display_name":"Maximum cut","score":0.7284325957298279},{"id":"https://openalex.org/keywords/minimum-cut","display_name":"Minimum cut","score":0.5453644394874573},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5150863528251648},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5020327568054199},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4891059994697571},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4691663682460785},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4499814808368683},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4141901433467865},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29127806425094604},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14005252718925476}],"concepts":[{"id":"https://openalex.org/C165464430","wikidata":"https://www.wikidata.org/wiki/Q1570441","display_name":"Parameterized complexity","level":2,"score":0.7581019401550293},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7373135089874268},{"id":"https://openalex.org/C165526019","wikidata":"https://www.wikidata.org/wiki/Q942557","display_name":"Maximum cut","level":3,"score":0.7284325957298279},{"id":"https://openalex.org/C185690422","wikidata":"https://www.wikidata.org/wiki/Q6865438","display_name":"Minimum cut","level":2,"score":0.5453644394874573},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5150863528251648},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5020327568054199},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4891059994697571},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4691663682460785},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4499814808368683},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4141901433467865},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29127806425094604},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14005252718925476},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2014.2354343","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2014.2354343","pdf_url":null,"source":{"id":"https://openalex.org/S4210191041","display_name":"IEEE Transactions on Cybernetics","issn_l":"2168-2267","issn":["2168-2267","2168-2275"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Cybernetics","raw_type":"journal-article"},{"id":"pmid:25222964","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/25222964","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE transactions on cybernetics","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G532512089","display_name":null,"funder_award_id":"61170081","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5745411553","display_name":null,"funder_award_id":"61165003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6973499013","display_name":"\u5173\u4e8e\u77e9\u9635\u4e58\u6cd5\u95ee\u9898\u7684\u6f14\u5316\u7b97\u6cd5\u7814\u7a76","funder_award_id":"61472143","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W17452554","https://openalex.org/W116475295","https://openalex.org/W133748726","https://openalex.org/W1510977876","https://openalex.org/W1517036688","https://openalex.org/W1522890465","https://openalex.org/W1554385073","https://openalex.org/W1631204983","https://openalex.org/W1969189142","https://openalex.org/W1975442866","https://openalex.org/W2000579976","https://openalex.org/W2006933117","https://openalex.org/W2012174598","https://openalex.org/W2012971553","https://openalex.org/W2030087828","https://openalex.org/W2032378868","https://openalex.org/W2033447978","https://openalex.org/W2036185701","https://openalex.org/W2063903854","https://openalex.org/W2070987589","https://openalex.org/W2071629762","https://openalex.org/W2073478661","https://openalex.org/W2079754109","https://openalex.org/W2080905757","https://openalex.org/W2084149434","https://openalex.org/W2085021430","https://openalex.org/W2086128034","https://openalex.org/W2086793217","https://openalex.org/W2086917808","https://openalex.org/W2088415500","https://openalex.org/W2096795740","https://openalex.org/W2097277086","https://openalex.org/W2097724176","https://openalex.org/W2121555757","https://openalex.org/W2141923701","https://openalex.org/W2148311277","https://openalex.org/W2151612665","https://openalex.org/W2152325608","https://openalex.org/W2153401898","https://openalex.org/W2159512835","https://openalex.org/W2159739530","https://openalex.org/W2165220807","https://openalex.org/W2166969227","https://openalex.org/W2312821511","https://openalex.org/W2401610261","https://openalex.org/W2917997019","https://openalex.org/W2963098446","https://openalex.org/W3149604617","https://openalex.org/W6600701498","https://openalex.org/W6605348671","https://openalex.org/W6670750863","https://openalex.org/W6766448824"],"related_works":["https://openalex.org/W2186707160","https://openalex.org/W1974018476","https://openalex.org/W2903538031","https://openalex.org/W2129497110","https://openalex.org/W2141353198","https://openalex.org/W2115772827","https://openalex.org/W2942946217","https://openalex.org/W2078695342","https://openalex.org/W1588356204","https://openalex.org/W2130132511"],"abstract_inverted_index":{"The":[0],"maximum":[1],"cut":[2,128,140],"(MAX-CUT)":[3],"problem":[4],"is":[5,48,152,159],"to":[6],"find":[7,72],"a":[8,14,119,127,139,153],"bipartition":[9],"of":[10,21,65,89,101,106,129,141,162],"the":[11,19,29,55,63,68,75,79,99,104,111,123,160,165,172,176],"vertices":[12,109,163],"in":[13,25,110,134,146,164,186,202],"given":[15,120],"graph":[16],"such":[17],"that":[18,37,73,117,171,193],"number":[20,100,105,161],"edges":[22,102],"with":[23],"ends":[24],"different":[26],"sets":[27],"reaches":[28],"largest.":[30],"Though,":[31],"several":[32],"experimental":[33],"investigations":[34],"have":[35],"shown":[36],"evolutionary":[38],"algorithms":[39,185],"(EAs)":[40],"are":[41,97,179],"efficient":[42,201],"for":[43,118],"this":[44,58],"NP-complete":[45],"problem,":[46],"there":[47],"little":[49],"theoretical":[50],"work":[51],"about":[52],"EAs":[53,66,197],"on":[54,67],"problem.":[56,70],"In":[57],"paper,":[59],"we":[60,169,190],"theoretically":[61],"investigate":[62],"performance":[64],"MAX-CUT":[69],"We":[71,114],"both":[74],"(1+1)":[76,80,124,173,177],"EA":[77,174],"and":[78,91,95,103,138,157,175,189],"EA*,":[81],"two":[82,195],"simple":[83,196],"EAs,":[84],"efficiently":[85],"achieve":[86],"approximation":[87],"solutions":[88],"(m/2)+(1/4)s(G)":[90],"(m/2)+(1/2)(\u221a{8m+1}-1),":[92],"where":[93,150],"m":[94],"s(G)":[96],"respectively":[98],"odd":[107],"degree":[108],"input":[112,166],"graph.":[113,167],"also":[115,191],"reveal":[116],"integer":[121],"k":[122,133],"EA*":[125,178],"finds":[126],"size":[130,142],"at":[131,143],"least":[132,144],"expected":[135,147],"runtime":[136,148],"O(nm+1/\u03b4(4k))":[137],"(m/2)+k":[145],"O(n(2)m+1/\u03b4((64/3)k(2))),":[149],"\u03b4":[151],"constant":[154],"mutation":[155],"probability":[156],"n":[158],"Finally,":[168],"show":[170,192],"better":[180],"than":[181],"some":[182],"local":[183],"search":[184],"one":[187],"instance,":[188],"these":[194],"may":[198],"not":[199],"be":[200],"another":[203],"instance.":[204]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
