{"id":"https://openalex.org/W3157787313","doi":"https://doi.org/10.1109/tcyb.2021.3069839","title":"Discriminating Power of Centrality Measures in Complex Networks","display_name":"Discriminating Power of Centrality Measures in Complex Networks","publication_year":2021,"publication_date":"2021-05-07","ids":{"openalex":"https://openalex.org/W3157787313","doi":"https://doi.org/10.1109/tcyb.2021.3069839","mag":"3157787313","pmid":"https://pubmed.ncbi.nlm.nih.gov/33961577"},"language":"en","primary_location":{"id":"doi:10.1109/tcyb.2021.3069839","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3069839","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/A5087434654","display_name":"Qi Bao","orcid":"https://orcid.org/0000-0001-7862-2051"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qi Bao","raw_affiliation_strings":["Shanghai Key Laboratory of Intelligent Information Processing, School of Computer Science, Fudan University, Shanghai, China","Research Institute of Intelligent Complex Systems, Fudan University, Shanghai, China","Shanghai Engineering Research Institute of Blockchain, Fudan University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Intelligent Information Processing, School of Computer Science, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Research Institute of Intelligent Complex Systems, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Shanghai Engineering Research Institute of Blockchain, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067533846","display_name":"Zhongzhi Zhang","orcid":"https://orcid.org/0000-0003-1260-2079"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongzhi Zhang","raw_affiliation_strings":["Shanghai Key Laboratory of Intelligent Information Processing, School of Computer Science, Fudan University, Shanghai, China","Shanghai Engineering Research Institute of Blockchain, Fudan University, Shanghai, China","Research Institute of Intelligent Complex Systems, Fudan University, Shanghai, China"],"affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Intelligent Information Processing, School of Computer Science, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Shanghai Engineering Research Institute of Blockchain, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"Research Institute of Intelligent Complex Systems, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5087434654"],"corresponding_institution_ids":["https://openalex.org/I24943067"],"apc_list":null,"apc_paid":null,"fwci":0.7875,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.70762001,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"52","issue":"11","first_page":"12583","last_page":"12593"},"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":0.9814000129699707,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.9682999849319458,"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/centrality","display_name":"Centrality","score":0.9787019491195679},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.7017353773117065},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.6344433426856995},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6138335466384888},{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5716087222099304},{"id":"https://openalex.org/keywords/katz-centrality","display_name":"Katz centrality","score":0.5425828099250793},{"id":"https://openalex.org/keywords/network-science","display_name":"Network science","score":0.5257340669631958},{"id":"https://openalex.org/keywords/betweenness-centrality","display_name":"Betweenness centrality","score":0.4876924753189087},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.4567881226539612},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.4539371430873871},{"id":"https://openalex.org/keywords/network-theory","display_name":"Network theory","score":0.43282386660575867},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4281523823738098},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38636815547943115},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20335334539413452},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11430448293685913},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11362847685813904},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06247943639755249}],"concepts":[{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.9787019491195679},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.7017353773117065},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.6344433426856995},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6138335466384888},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5716087222099304},{"id":"https://openalex.org/C131349576","wikidata":"https://www.wikidata.org/wiki/Q6378571","display_name":"Katz centrality","level":4,"score":0.5425828099250793},{"id":"https://openalex.org/C137753397","wikidata":"https://www.wikidata.org/wiki/Q2434424","display_name":"Network science","level":3,"score":0.5257340669631958},{"id":"https://openalex.org/C117045392","wikidata":"https://www.wikidata.org/wiki/Q4899215","display_name":"Betweenness centrality","level":3,"score":0.4876924753189087},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.4567881226539612},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.4539371430873871},{"id":"https://openalex.org/C11804174","wikidata":"https://www.wikidata.org/wiki/Q1192971","display_name":"Network theory","level":2,"score":0.43282386660575867},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4281523823738098},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38636815547943115},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20335334539413452},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11430448293685913},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11362847685813904},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06247943639755249},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tcyb.2021.3069839","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcyb.2021.3069839","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:33961577","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/33961577","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":[{"id":"https://metadata.un.org/sdg/10","score":0.7099999785423279,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G537946182","display_name":null,"funder_award_id":"61872093","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6435596466","display_name":null,"funder_award_id":"U20B2051","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W131619556","https://openalex.org/W165726963","https://openalex.org/W1498992687","https://openalex.org/W1500383076","https://openalex.org/W1854214752","https://openalex.org/W1967570846","https://openalex.org/W1969121955","https://openalex.org/W1970913835","https://openalex.org/W1978004985","https://openalex.org/W1978705428","https://openalex.org/W1986310535","https://openalex.org/W1986918828","https://openalex.org/W1987717935","https://openalex.org/W1988183975","https://openalex.org/W1992016292","https://openalex.org/W1994918139","https://openalex.org/W2000626050","https://openalex.org/W2008620264","https://openalex.org/W2011099329","https://openalex.org/W2017099446","https://openalex.org/W2042901984","https://openalex.org/W2045313237","https://openalex.org/W2049002733","https://openalex.org/W2050197389","https://openalex.org/W2056944867","https://openalex.org/W2069351567","https://openalex.org/W2086567524","https://openalex.org/W2095409859","https://openalex.org/W2138621811","https://openalex.org/W2148050869","https://openalex.org/W2148606196","https://openalex.org/W2155307989","https://openalex.org/W2171707538","https://openalex.org/W2192746369","https://openalex.org/W2294347342","https://openalex.org/W2555008547","https://openalex.org/W2570065583","https://openalex.org/W2607500032","https://openalex.org/W2748196059","https://openalex.org/W2750880722","https://openalex.org/W2774449290","https://openalex.org/W2804645386","https://openalex.org/W2808428979","https://openalex.org/W2897513444","https://openalex.org/W2914556824","https://openalex.org/W2933386281","https://openalex.org/W2962712876","https://openalex.org/W2964164193","https://openalex.org/W2983396602","https://openalex.org/W2994926788","https://openalex.org/W3004064601","https://openalex.org/W3029971898","https://openalex.org/W3037123728","https://openalex.org/W3124313466","https://openalex.org/W4238452917","https://openalex.org/W4238591275","https://openalex.org/W4246219036","https://openalex.org/W4247782380","https://openalex.org/W4250831670","https://openalex.org/W4253895441","https://openalex.org/W4312512934","https://openalex.org/W6629421428","https://openalex.org/W6639055396"],"related_works":["https://openalex.org/W2046736422","https://openalex.org/W2611574733","https://openalex.org/W2514739320","https://openalex.org/W2042444919","https://openalex.org/W3174053386","https://openalex.org/W4225983573","https://openalex.org/W4400410167","https://openalex.org/W3192043023","https://openalex.org/W992689895","https://openalex.org/W2065961640"],"abstract_inverted_index":{"Centrality":[0],"metrics":[1,23],"are":[2,128],"one":[3],"of":[4,31,36,53,61,95,111,118],"the":[5,28,33,50,59,67,92,112],"most":[6],"fundamental":[7],"tools":[8],"in":[9,66,76,109],"social":[10],"network":[11,14],"analysis":[12],"and":[13,16,63,125],"science,":[15],"various":[17],"measures":[18,39,56,108],"for":[19,91],"evaluating":[20],"node":[21,54,96,135],"importance":[22],"have":[24,70,80],"been":[25],"devised.":[26],"However,":[27],"crucial":[29],"issue":[30],"testing":[32],"discriminating":[34,51,93,113],"power":[35,52,94],"different":[37,77,81],"centrality":[38,55,82,97,107,136],"is":[40,116],"still":[41],"open.":[42],"In":[43],"this":[44,85],"article,":[45],"we":[46,87,100],"propose":[47,101],"to":[48,105,130],"assess":[49],"by":[57],"using":[58],"notion":[60],"automorphism":[62],"orbit:":[64],"nodes":[65,75],"same":[68],"orbit":[69],"identical":[71],"metric":[72],"scores,":[73],"while":[74],"orbits":[78],"should":[79],"values.":[83],"Under":[84],"assumption,":[86],"present":[88],"a":[89],"benchmark":[90],"measures.":[98],"Moreover,":[99],"an":[102],"efficient":[103],"approach":[104],"evaluate":[106],"terms":[110],"power,":[114],"which":[115],"devoid":[117],"finding":[119],"orbits.":[120],"Extensive":[121],"experiments":[122],"on":[123],"real":[124],"model":[126],"networks":[127],"executed":[129],"compare":[131],"seven":[132],"commonly":[133],"used":[134],"metrics.":[137]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
