{"id":"https://openalex.org/W3122910277","doi":"https://doi.org/10.1007/s00355-023-01456-4","title":"Centrality measures in networks","display_name":"Centrality measures in networks","publication_year":2023,"publication_date":"2023-04-24","ids":{"openalex":"https://openalex.org/W3122910277","doi":"https://doi.org/10.1007/s00355-023-01456-4","mag":"3122910277"},"language":"en","primary_location":{"id":"doi:10.1007/s00355-023-01456-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00355-023-01456-4","pdf_url":null,"source":{"id":"https://openalex.org/S107325288","display_name":"Social Choice and Welfare","issn_l":"0176-1714","issn":["0176-1714","1432-217X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Social Choice and Welfare","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/A5088702948","display_name":"Francis Bloch","orcid":"https://orcid.org/0000-0001-7450-0372"},"institutions":[{"id":"https://openalex.org/I57995698","display_name":"Paris School of Economics","ror":"https://ror.org/01qtp1053","country_code":"FR","type":"education","lineage":["https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I4210088668","https://openalex.org/I4210145102","https://openalex.org/I51101395","https://openalex.org/I57995698","https://openalex.org/I90669466"]},{"id":"https://openalex.org/I51101395","display_name":"Universit\u00e9 Paris 1 Panth\u00e9on-Sorbonne","ror":"https://ror.org/002t25c44","country_code":"FR","type":"education","lineage":["https://openalex.org/I51101395"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Francis Bloch","raw_affiliation_strings":["Universit\u00e9 Paris 1 and Paris School of Economics, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Paris 1 and Paris School of Economics, Paris, France","institution_ids":["https://openalex.org/I57995698","https://openalex.org/I51101395"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044618645","display_name":"Matthew O. Jackson","orcid":"https://orcid.org/0000-0001-9846-4249"},"institutions":[{"id":"https://openalex.org/I1308548392","display_name":"Santa Fe Institute","ror":"https://ror.org/01arysc35","country_code":"US","type":"funder","lineage":["https://openalex.org/I1308548392"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Matthew O. Jackson","raw_affiliation_strings":["Department of Economics, Stanford University, External Faculty of the Santa Fe Institute, Santa Fe, Mexico"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Economics, Stanford University, External Faculty of the Santa Fe Institute, Santa Fe, Mexico","institution_ids":["https://openalex.org/I1308548392"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079500455","display_name":"Pietro Tebaldi","orcid":null},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pietro Tebaldi","raw_affiliation_strings":["Columbia University and NBER, New York, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Columbia University and NBER, New York, USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5088702948"],"corresponding_institution_ids":["https://openalex.org/I51101395","https://openalex.org/I57995698"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":26.5961,"has_fulltext":false,"cited_by_count":178,"citation_normalized_percentile":{"value":0.99946305,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":100},"biblio":{"volume":"61","issue":"2","first_page":"413","last_page":"453"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9987999796867371,"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":0.9987999796867371,"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":0.9754999876022339,"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/T11476","display_name":"Graph theory and applications","score":0.9684000015258789,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/centrality","display_name":"Centrality","score":0.9624103903770447},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.6675302386283875},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.5495872497558594},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.49887561798095703},{"id":"https://openalex.org/keywords/betweenness-centrality","display_name":"Betweenness centrality","score":0.4852452278137207},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.475101113319397},{"id":"https://openalex.org/keywords/network-science","display_name":"Network science","score":0.4613047242164612},{"id":"https://openalex.org/keywords/katz-centrality","display_name":"Katz centrality","score":0.45284995436668396},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.4516902267932892},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4300851821899414},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4008709788322449},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3827076852321625},{"id":"https://openalex.org/keywords/complex-network","display_name":"Complex network","score":0.3357895314693451},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3203425407409668},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.25782549381256104},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10234478116035461}],"concepts":[{"id":"https://openalex.org/C53811970","wikidata":"https://www.wikidata.org/wiki/Q5062194","display_name":"Centrality","level":2,"score":0.9624103903770447},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.6675302386283875},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.5495872497558594},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.49887561798095703},{"id":"https://openalex.org/C117045392","wikidata":"https://www.wikidata.org/wiki/Q4899215","display_name":"Betweenness centrality","level":3,"score":0.4852452278137207},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.475101113319397},{"id":"https://openalex.org/C137753397","wikidata":"https://www.wikidata.org/wiki/Q2434424","display_name":"Network science","level":3,"score":0.4613047242164612},{"id":"https://openalex.org/C131349576","wikidata":"https://www.wikidata.org/wiki/Q6378571","display_name":"Katz centrality","level":4,"score":0.45284995436668396},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.4516902267932892},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4300851821899414},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4008709788322449},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3827076852321625},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.3357895314693451},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3203425407409668},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.25782549381256104},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10234478116035461},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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/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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00355-023-01456-4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00355-023-01456-4","pdf_url":null,"source":{"id":"https://openalex.org/S107325288","display_name":"Social Choice and Welfare","issn_l":"0176-1714","issn":["0176-1714","1432-217X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Social Choice and Welfare","raw_type":"journal-article"},{"id":"pmh:oai:HAL:halshs-04155088v1","is_oa":false,"landing_page_url":"https://shs.hal.science/halshs-04155088","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Social Choice and Welfare, 2023, &#x27E8;10.1007/s00355-023-01456-4&#x27E9;","raw_type":"Journal articles"},{"id":"pmh:oai:RePEc:spr:sochwe:v:61:y:2023:i:2:d:10.1007_s00355-023-01456-4","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s00355-023-01456-4","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2095892514","display_name":null,"funder_award_id":"W911NF-12-1-0509","funder_id":"https://openalex.org/F4320333591","funder_display_name":"Multidisciplinary University Research Initiative"},{"id":"https://openalex.org/G4397895144","display_name":null,"funder_award_id":"SES-1155302","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4452122013","display_name":null,"funder_award_id":"SES-0961481","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5182388879","display_name":null,"funder_award_id":"FA9550-12-1-0411","funder_id":"https://openalex.org/F4320337531","funder_display_name":"Defense Sciences Office, DARPA"},{"id":"https://openalex.org/G686131331","display_name":null,"funder_award_id":"SES-2018554","funder_id":"https://openalex.org/F4320332170","funder_display_name":"Directorate for Engineering"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332170","display_name":"Directorate for Engineering","ror":"https://ror.org/00b6sbb32"},{"id":"https://openalex.org/F4320333591","display_name":"Multidisciplinary University Research Initiative","ror":null},{"id":"https://openalex.org/F4320337531","display_name":"Defense Sciences Office, DARPA","ror":"https://ror.org/0447fe631"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W44627651","https://openalex.org/W178019458","https://openalex.org/W338819382","https://openalex.org/W950821216","https://openalex.org/W1484675474","https://openalex.org/W1533368239","https://openalex.org/W1822482370","https://openalex.org/W1854214752","https://openalex.org/W1956352834","https://openalex.org/W1967570846","https://openalex.org/W1970913835","https://openalex.org/W1971788485","https://openalex.org/W1971937094","https://openalex.org/W1975617599","https://openalex.org/W1983078117","https://openalex.org/W2021028587","https://openalex.org/W2025844353","https://openalex.org/W2026417691","https://openalex.org/W2032808751","https://openalex.org/W2037967274","https://openalex.org/W2061820396","https://openalex.org/W2067269512","https://openalex.org/W2076726514","https://openalex.org/W2081334386","https://openalex.org/W2086645750","https://openalex.org/W2087194317","https://openalex.org/W2109296605","https://openalex.org/W2127387319","https://openalex.org/W2127405101","https://openalex.org/W2127800791","https://openalex.org/W2133057631","https://openalex.org/W2134784378","https://openalex.org/W2140095656","https://openalex.org/W2160335528","https://openalex.org/W2164412965","https://openalex.org/W2168201538","https://openalex.org/W2197906820","https://openalex.org/W2218155067","https://openalex.org/W2315398832","https://openalex.org/W2526141444","https://openalex.org/W2604780958","https://openalex.org/W2611707861","https://openalex.org/W2765203444","https://openalex.org/W2962750363","https://openalex.org/W3015566831","https://openalex.org/W3090153700","https://openalex.org/W3102501663","https://openalex.org/W3121812901","https://openalex.org/W3122155496","https://openalex.org/W3123506665","https://openalex.org/W3123808662","https://openalex.org/W3123995584","https://openalex.org/W3124402109","https://openalex.org/W3125017399","https://openalex.org/W3125085299","https://openalex.org/W3125781781","https://openalex.org/W3125814070","https://openalex.org/W3141829038","https://openalex.org/W4200615714","https://openalex.org/W4244632510","https://openalex.org/W4298404569"],"related_works":["https://openalex.org/W1848393892","https://openalex.org/W2514739320","https://openalex.org/W2611574733","https://openalex.org/W2042444919","https://openalex.org/W4225983573","https://openalex.org/W3113916987","https://openalex.org/W2186710387","https://openalex.org/W3192043023","https://openalex.org/W4296473449","https://openalex.org/W2989728814"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":19},{"year":2025,"cited_by_count":78},{"year":2024,"cited_by_count":57},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}
