{"id":"https://openalex.org/W2561206449","doi":"https://doi.org/10.1109/tsmc.2016.2636240","title":"Competitiveness Maximization on Complex Networks","display_name":"Competitiveness Maximization on Complex Networks","publication_year":2016,"publication_date":"2016-12-22","ids":{"openalex":"https://openalex.org/W2561206449","doi":"https://doi.org/10.1109/tsmc.2016.2636240","mag":"2561206449"},"language":"en","primary_location":{"id":"doi:10.1109/tsmc.2016.2636240","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2016.2636240","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","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/A5101799346","display_name":"Jiuhua Zhao","orcid":"https://orcid.org/0000-0003-0482-9716"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiuhua Zhao","raw_affiliation_strings":["Department of Automation, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0003-0482-9716","affiliations":[{"raw_affiliation_string":"Department of Automation, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101602811","display_name":"Qipeng Liu","orcid":"https://orcid.org/0000-0002-6546-3773"},"institutions":[{"id":"https://openalex.org/I108688024","display_name":"Qingdao University","ror":"https://ror.org/021cj6z65","country_code":"CN","type":"education","lineage":["https://openalex.org/I108688024"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qipeng Liu","raw_affiliation_strings":["Institute of Complexity Science, Qingdao University, Qingdao, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Complexity Science, Qingdao University, Qingdao, China","institution_ids":["https://openalex.org/I108688024"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100703488","display_name":"Lin Wang","orcid":"https://orcid.org/0000-0002-8374-8473"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lin Wang","raw_affiliation_strings":["Department of Automation, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100718391","display_name":"Xiaofan Wang","orcid":"https://orcid.org/0000-0003-0295-2462"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaofan Wang","raw_affiliation_strings":["Department of Automation, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Automation, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":1.1632,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.79745786,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"48","issue":"7","first_page":"1054","last_page":"1064"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9976999759674072,"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/T11031","display_name":"Game Theory and Applications","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/submodular-set-function","display_name":"Submodular set function","score":0.658446192741394},{"id":"https://openalex.org/keywords/centrality","display_name":"Centrality","score":0.6501688361167908},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6039729118347168},{"id":"https://openalex.org/keywords/heuristic","display_name":"Heuristic","score":0.5866308212280273},{"id":"https://openalex.org/keywords/maximization","display_name":"Maximization","score":0.5809420943260193},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5101509690284729},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4560149013996124},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.44988706707954407},{"id":"https://openalex.org/keywords/competitor-analysis","display_name":"Competitor analysis","score":0.4139330983161926},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"Greedy algorithm","score":0.4102928638458252},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3579619526863098},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09104952216148376}],"concepts":[{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.658446192741394},{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.6501688361167908},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6039729118347168},{"id":"https://openalex.org/C173801870","wikidata":"https://www.wikidata.org/wiki/Q201413","display_name":"Heuristic","level":2,"score":0.5866308212280273},{"id":"https://openalex.org/C2776330181","wikidata":"https://www.wikidata.org/wiki/Q18358244","display_name":"Maximization","level":2,"score":0.5809420943260193},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5101509690284729},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4560149013996124},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.44988706707954407},{"id":"https://openalex.org/C127576917","wikidata":"https://www.wikidata.org/wiki/Q624630","display_name":"Competitor analysis","level":2,"score":0.4139330983161926},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.4102928638458252},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3579619526863098},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09104952216148376},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C187736073","wikidata":"https://www.wikidata.org/wiki/Q2920921","display_name":"Management","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsmc.2016.2636240","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsmc.2016.2636240","pdf_url":null,"source":{"id":"https://openalex.org/S4210209078","display_name":"IEEE Transactions on Systems Man and Cybernetics Systems","issn_l":"2168-2216","issn":["2168-2216","2168-2232"],"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 Systems, Man, and Cybernetics: Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1100741007","display_name":null,"funder_award_id":"ZR2015PF003","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G2540089741","display_name":null,"funder_award_id":"61473189","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4297147920","display_name":null,"funder_award_id":"2015M571996","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G4385222605","display_name":null,"funder_award_id":"61503207","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6658191203","display_name":"\u57fa\u4e8e\u62d3\u6251\u5206\u6790\u7684\u590d\u6742\u7f51\u7edc\u80fd\u63a7\u6027\u4e0e\u80fd\u89c2\u6027\u7814\u7a76","funder_award_id":"61374176","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"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1502487903","https://openalex.org/W1509185796","https://openalex.org/W1559880292","https://openalex.org/W1680189815","https://openalex.org/W1852042051","https://openalex.org/W1931400479","https://openalex.org/W1965044289","https://openalex.org/W1966648745","https://openalex.org/W1967509640","https://openalex.org/W1975318518","https://openalex.org/W1986001103","https://openalex.org/W1997908222","https://openalex.org/W2010033398","https://openalex.org/W2013549980","https://openalex.org/W2015953751","https://openalex.org/W2021985791","https://openalex.org/W2036836182","https://openalex.org/W2052104835","https://openalex.org/W2061820396","https://openalex.org/W2064643960","https://openalex.org/W2076242631","https://openalex.org/W2081632029","https://openalex.org/W2089108971","https://openalex.org/W2094234423","https://openalex.org/W2105509646","https://openalex.org/W2109583010","https://openalex.org/W2131736385","https://openalex.org/W2141410403","https://openalex.org/W2152284345","https://openalex.org/W2161138297","https://openalex.org/W2163595839","https://openalex.org/W2171031021","https://openalex.org/W2332821919","https://openalex.org/W2963798452","https://openalex.org/W2988480584","https://openalex.org/W3099523636","https://openalex.org/W3101295891","https://openalex.org/W3101413764","https://openalex.org/W3102963639"],"related_works":["https://openalex.org/W2896347948","https://openalex.org/W2402949237","https://openalex.org/W4302557420","https://openalex.org/W2950500962","https://openalex.org/W2915041254","https://openalex.org/W2594118609","https://openalex.org/W2765425000","https://openalex.org/W3204684126","https://openalex.org/W4389478405","https://openalex.org/W2735578456"],"abstract_inverted_index":{"We":[0,85,119,126,172,188],"consider":[1,86],"a":[2,29,144],"model":[3],"of":[4,36,54,75,98,100,113,133,157,181,248,263],"competition":[5],"on":[6,222],"complex":[7],"networks,":[8],"in":[9,184,211,224,232,235,239],"which":[10],"two":[11,87,170],"competitors":[12,38],"are":[13,161],"fixed":[14],"to":[15,28,60,65,71,94,107,164,168,177,198,256],"opposite":[16],"states":[17,26],"while":[18,103,201],"other":[19,81],"agents,":[20,23],"called":[21],"normal":[22,114],"adjust":[24],"their":[25],"according":[27],"distributed":[30],"consensus":[31],"protocol.":[32],"Suppose":[33],"that":[34,121,129,190],"one":[35,82],"the":[37,52,61,73,76,80,96,101,109,117,130,179,194,208,246,249,257,261],"could":[39],"enhance":[40],"its":[41,230],"influence":[42,74],"by":[43],"creating":[44],"new":[45,55],"links.":[46],"A":[47],"natural":[48],"question":[49],"is,":[50],"when":[51],"number":[53,97],"links":[56,68],"is":[57,124,136,227,253],"limited":[58,62],"due":[59],"resource,":[63],"how":[64],"add":[66],"these":[67,169,182],"so":[69],"as":[70],"maximize":[72,95,108],"given":[77],"competitor":[78],"over":[79],"(called":[83],"competitiveness).":[84],"competitiveness":[88],"maximization":[89],"problems:":[90],"Problem":[91,104,122,134,151,199,203,237,244],"1":[92,123],"tries":[93,106],"supporters":[99],"competitor,":[102],"2":[105,135,238],"total":[110],"supporting":[111],"degree":[112],"agents":[115],"toward":[116],"competitor.":[118],"prove":[120],"NP-hard.":[125],"also":[127,162],"show":[128],"objective":[131],"function":[132],"monotonous":[137],"and":[138,140,260],"submodular,":[139],"hence":[141],"there":[142],"exists":[143],"polynomial-time":[145],"greedy":[146],"algorithm":[147,220],"(GA)":[148],"approximately":[149],"solving":[150,236],"2.":[152],"Several":[153],"centrality-based":[154,250],"heuristic":[155,217,251],"algorithms":[156,183,252],"less":[158],"computational":[159],"burden":[160],"designed":[163],"provide":[165],"approximate":[166,196],"solutions":[167],"problems.":[171],"carry":[173],"out":[174],"extensive":[175],"simulations":[176],"check":[178],"performances":[180],"six":[185],"real":[186],"networks.":[187,213],"find":[189],"GA":[191,205],"always":[192],"provides":[193],"best":[195,209],"solution":[197],"2,":[200],"for":[202,243],"1,":[204,245],"only":[206],"has":[207],"performance":[210,247],"directed":[212],"Furthermore,":[214],"among":[215],"those":[216],"algorithms,":[218],"an":[219],"based":[221],"centrality":[223],"descending":[225],"order":[226,234],"better":[228],"than":[229],"counterpart":[231],"ascending":[233],"statistical":[240],"sense.":[241],"But":[242],"more":[254],"sensitive":[255],"network":[258],"structure":[259],"locations":[262],"competitors.":[264]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}