{"id":"https://openalex.org/W3006656051","doi":"https://doi.org/10.1109/tnse.2020.2972980","title":"Multi-Objective Optimization of Critical Node Detection Based on Cascade Model in Complex Networks","display_name":"Multi-Objective Optimization of Critical Node Detection Based on Cascade Model in Complex Networks","publication_year":2020,"publication_date":"2020-02-11","ids":{"openalex":"https://openalex.org/W3006656051","doi":"https://doi.org/10.1109/tnse.2020.2972980","mag":"3006656051"},"language":"en","primary_location":{"id":"doi:10.1109/tnse.2020.2972980","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2020.2972980","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network Science and Engineering","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/A5080798381","display_name":"Lei Zhang","orcid":"https://orcid.org/0000-0002-6447-2053"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Zhang","raw_affiliation_strings":["Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education, School of Computer Science and Technology, Anhui University, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0002-6447-2053","affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education, School of Computer Science and Technology, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040132547","display_name":"Jiajun Xia","orcid":"https://orcid.org/0000-0002-9725-4757"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiajun Xia","raw_affiliation_strings":["Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education, School of Computer Science and Technology, Anhui University, Hefei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education, School of Computer Science and Technology, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100602238","display_name":"Fan Cheng","orcid":"https://orcid.org/0000-0003-0175-0818"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fan Cheng","raw_affiliation_strings":["Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education, School of Computer Science and Technology, Anhui University, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0003-0175-0818","affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education, School of Computer Science and Technology, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101418395","display_name":"Jianfeng Qiu","orcid":"https://orcid.org/0000-0001-9135-7432"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianfeng Qiu","raw_affiliation_strings":["Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education, School of Computer Science and Technology, Anhui University, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0001-9135-7432","affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education, School of Computer Science and Technology, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028634381","display_name":"Xingyi Zhang","orcid":"https://orcid.org/0000-0002-5052-000X"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xingyi Zhang","raw_affiliation_strings":["Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education, School of Computer Science and Technology, Anhui University, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0002-5052-000X","affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education, School of Computer Science and Technology, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I143868143"],"apc_list":null,"apc_paid":null,"fwci":3.9663,"has_fulltext":false,"cited_by_count":51,"citation_normalized_percentile":{"value":0.9450326,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"7","issue":"3","first_page":"2052","last_page":"2066"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11807","display_name":"Infrastructure Resilience and Vulnerability Analysis","score":0.9442999958992004,"subfield":{"id":"https://openalex.org/subfields/2205","display_name":"Civil and Structural 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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.907800018787384,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.685693621635437},{"id":"https://openalex.org/keywords/initialization","display_name":"Initialization","score":0.6217183470726013},{"id":"https://openalex.org/keywords/cascade","display_name":"Cascade","score":0.605431854724884},{"id":"https://openalex.org/keywords/vulnerability","display_name":"Vulnerability (computing)","score":0.5623466968536377},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5551022291183472},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5497995018959045},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.5448740124702454},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5441298484802246},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.41091832518577576},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3204592168331146},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19541245698928833},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15427491068840027},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15142503380775452},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.1035565733909607}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.685693621635437},{"id":"https://openalex.org/C114466953","wikidata":"https://www.wikidata.org/wiki/Q6034165","display_name":"Initialization","level":2,"score":0.6217183470726013},{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.605431854724884},{"id":"https://openalex.org/C95713431","wikidata":"https://www.wikidata.org/wiki/Q631425","display_name":"Vulnerability (computing)","level":2,"score":0.5623466968536377},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5551022291183472},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5497995018959045},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.5448740124702454},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5441298484802246},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.41091832518577576},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3204592168331146},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19541245698928833},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15427491068840027},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15142503380775452},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.1035565733909607},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","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},{"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/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tnse.2020.2972980","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tnse.2020.2972980","pdf_url":null,"source":{"id":"https://openalex.org/S2484352698","display_name":"IEEE Transactions on Network Science and Engineering","issn_l":"2327-4697","issn":["2327-4697","2334-329X"],"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 Network Science and Engineering","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.8100000023841858,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G1182606078","display_name":null,"funder_award_id":"U1804262","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G156243782","display_name":null,"funder_award_id":"2018AAA0101300","funder_id":"https://openalex.org/F4320309618","funder_display_name":"Ministry of Science and Technology"},{"id":"https://openalex.org/G1591254444","display_name":null,"funder_award_id":"61822301","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2983347597","display_name":null,"funder_award_id":"1908085MF219","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"},{"id":"https://openalex.org/G5736638667","display_name":null,"funder_award_id":"61876184","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6658230062","display_name":null,"funder_award_id":"61976001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320309618","display_name":"Ministry of Science and Technology","ror":"https://ror.org/02b207r52"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334897","display_name":"Natural Science Foundation of Anhui Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":53,"referenced_works":["https://openalex.org/W115487673","https://openalex.org/W309977538","https://openalex.org/W1558919105","https://openalex.org/W1776407025","https://openalex.org/W1833634424","https://openalex.org/W1982774462","https://openalex.org/W1985909783","https://openalex.org/W1988680180","https://openalex.org/W1993771871","https://openalex.org/W1997276837","https://openalex.org/W2001711833","https://openalex.org/W2006969620","https://openalex.org/W2015557748","https://openalex.org/W2015635922","https://openalex.org/W2022299424","https://openalex.org/W2025580831","https://openalex.org/W2028823879","https://openalex.org/W2037326585","https://openalex.org/W2062458514","https://openalex.org/W2063077688","https://openalex.org/W2065419861","https://openalex.org/W2098135037","https://openalex.org/W2106034715","https://openalex.org/W2109615078","https://openalex.org/W2113048862","https://openalex.org/W2121035174","https://openalex.org/W2126105956","https://openalex.org/W2140186931","https://openalex.org/W2155010408","https://openalex.org/W2155461593","https://openalex.org/W2175357651","https://openalex.org/W2198098822","https://openalex.org/W2294347342","https://openalex.org/W2327445905","https://openalex.org/W2464692305","https://openalex.org/W2484950037","https://openalex.org/W2518553096","https://openalex.org/W2613303308","https://openalex.org/W2626046034","https://openalex.org/W2738689687","https://openalex.org/W2753824835","https://openalex.org/W2760781913","https://openalex.org/W2775791243","https://openalex.org/W2786281681","https://openalex.org/W2792628671","https://openalex.org/W2896014807","https://openalex.org/W2911959876","https://openalex.org/W2963130633","https://openalex.org/W3092757230","https://openalex.org/W3099046233","https://openalex.org/W6654167341","https://openalex.org/W6697195335","https://openalex.org/W6722223119"],"related_works":["https://openalex.org/W3204184292","https://openalex.org/W2153719181","https://openalex.org/W3176564347","https://openalex.org/W2355833770","https://openalex.org/W1971748923","https://openalex.org/W1985458517","https://openalex.org/W3031039437","https://openalex.org/W183202219","https://openalex.org/W3095877357","https://openalex.org/W2072565696"],"abstract_inverted_index":{"The":[0,108],"critical":[1,77],"node":[2,78],"detection":[3,79],"based":[4,80],"on":[5,81,179],"cascade":[6,82],"model":[7,83],"is":[8,115,153,166],"a":[9,85,125,148],"very":[10],"important":[11],"way":[12],"for":[13,111,128],"analyzing":[14,129],"network":[15,28,47,131],"vulnerability":[16],"and":[17,97,160],"has":[18],"recently":[19],"attracted":[20],"the":[21,46,49,52,55,76,92,95,98,101,112,130,157,172,176,186,189,194],"attention":[22],"of":[23,31,51,57,94,100,188],"many":[24],"researchers":[25],"in":[26,69],"complex":[27,182],"area.":[29],"Most":[30],"existing":[32],"works":[33],"aim":[34],"to":[35,42,45,155,169],"design":[36],"effective":[37,139],"attack":[38,96,102],"strategies":[39],"which":[40],"lead":[41],"maximal":[43],"damage":[44],"(i.e.":[48,61,103],"destructiveness":[50,93],"attack),":[53],"while":[54],"number":[56],"initial":[58],"attacked":[59],"nodes":[60],"k)":[62,104],"should":[63],"be":[64],"given":[65],"by":[66],"decision":[67,122],"makers":[68,123],"advance.":[70],"In":[71,146],"this":[72,117],"paper,":[73],"we":[74,136],"transform":[75],"as":[84,144],"bi-objective":[86],"optimization":[87,119],"problem":[88,113],"(named":[89],"BCVND),":[90],"where":[91],"cost":[99],"are":[105],"optimized":[106],"simultaneously.":[107],"main":[109],"advantage":[110],"transformation":[114],"that":[116],"multi-objective":[118,140],"can":[120],"provide":[121],"with":[124,193],"holistic":[126],"view":[127],"vulnerability.":[132],"To":[133],"solve":[134],"BCVND,":[135],"propose":[137],"an":[138,161],"evolutionary":[141],"approach":[142],"termed":[143],"MO-BCVND.":[145],"MO-BCVND,":[147],"cost-reduced":[149],"population":[150,158,173],"initialization":[151],"strategy":[152,165],"proposed":[154,190],"increase":[156],"diversity":[159],"adaptive":[162],"local":[163],"search":[164],"also":[167],"designed":[168],"speed":[170],"up":[171],"convergence.":[174],"Finally,":[175],"experimental":[177],"results":[178],"12":[180],"real-world":[181],"networks":[183],"clearly":[184],"demonstrate":[185],"effectiveness":[187],"algorithm":[191],"compared":[192],"state-of-the-art":[195],"baselines.":[196]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":4}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
