{"id":"https://openalex.org/W2792350283","doi":"https://doi.org/10.1093/comnet/cnz002","title":"Generalized rich-club ordering in networks","display_name":"Generalized rich-club ordering in networks","publication_year":2019,"publication_date":"2019-01-15","ids":{"openalex":"https://openalex.org/W2792350283","doi":"https://doi.org/10.1093/comnet/cnz002","mag":"2792350283"},"language":"en","primary_location":{"id":"doi:10.1093/comnet/cnz002","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comnet/cnz002","pdf_url":null,"source":{"id":"https://openalex.org/S2531583244","display_name":"Journal of Complex Networks","issn_l":"2051-1310","issn":["2051-1310","2051-1329"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Complex Networks","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1803.07000","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076143079","display_name":"Matteo Cinelli","orcid":"https://orcid.org/0000-0003-3899-4592"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Matteo Cinelli","raw_affiliation_strings":["ISC-CNR Uos \u2018Sapienza\u2019, 00185 Rome, Italy and Department of Enterprise Engineering, Tor Vergata, Via del Politecnico 1, 00133 Rome, Italy","ISC-CNR Uos 'Sapienza', 00185 Rome, Italy and Department of Enterprise Engineering, Tor Vergata, Via del Politecnico 1, 00133 Rome, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ISC-CNR Uos \u2018Sapienza\u2019, 00185 Rome, Italy and Department of Enterprise Engineering, Tor Vergata, Via del Politecnico 1, 00133 Rome, Italy","institution_ids":[]},{"raw_affiliation_string":"ISC-CNR Uos 'Sapienza', 00185 Rome, Italy and Department of Enterprise Engineering, Tor Vergata, Via del Politecnico 1, 00133 Rome, Italy","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5076143079"],"corresponding_institution_ids":[],"apc_list":{"value":4151,"currency":"USD","value_usd":4151},"apc_paid":null,"fwci":1.4782,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.81286258,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"7","issue":"5","first_page":"702","last_page":"719"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9794999957084656,"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"}},{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":0.9552000164985657,"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/node","display_name":"Node (physics)","score":0.8087180852890015},{"id":"https://openalex.org/keywords/metadata","display_name":"Metadata","score":0.7582542300224304},{"id":"https://openalex.org/keywords/club","display_name":"Club","score":0.7491869926452637},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7154688239097595},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.43965548276901245},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4133617579936981},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3450828790664673},{"id":"https://openalex.org/keywords/world-wide-web","display_name":"World Wide Web","score":0.20438221096992493},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06489571928977966}],"concepts":[{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.8087180852890015},{"id":"https://openalex.org/C93518851","wikidata":"https://www.wikidata.org/wiki/Q180160","display_name":"Metadata","level":2,"score":0.7582542300224304},{"id":"https://openalex.org/C2776459890","wikidata":"https://www.wikidata.org/wiki/Q3297812","display_name":"Club","level":2,"score":0.7491869926452637},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7154688239097595},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.43965548276901245},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4133617579936981},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3450828790664673},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.20438221096992493},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06489571928977966},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C105702510","wikidata":"https://www.wikidata.org/wiki/Q514","display_name":"Anatomy","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1093/comnet/cnz002","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comnet/cnz002","pdf_url":null,"source":{"id":"https://openalex.org/S2531583244","display_name":"Journal of Complex Networks","issn_l":"2051-1310","issn":["2051-1310","2051-1329"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Complex Networks","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1803.07000","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1803.07000","pdf_url":"https://arxiv.org/pdf/1803.07000","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},{"id":"pmh:oai:iris.uniroma1.it:11573/1664983","is_oa":false,"landing_page_url":"https://hdl.handle.net/11573/1664983","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1803.07000","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1803.07000","pdf_url":"https://arxiv.org/pdf/1803.07000","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":76,"referenced_works":["https://openalex.org/W229097380","https://openalex.org/W289419902","https://openalex.org/W1805101691","https://openalex.org/W1828262756","https://openalex.org/W1930572491","https://openalex.org/W1971930416","https://openalex.org/W1974770684","https://openalex.org/W1978307805","https://openalex.org/W1978360369","https://openalex.org/W1984988256","https://openalex.org/W1990574575","https://openalex.org/W1999653836","https://openalex.org/W2004358946","https://openalex.org/W2008211892","https://openalex.org/W2012559638","https://openalex.org/W2020985374","https://openalex.org/W2033193852","https://openalex.org/W2046246518","https://openalex.org/W2049546703","https://openalex.org/W2056141689","https://openalex.org/W2056892589","https://openalex.org/W2058077802","https://openalex.org/W2061605487","https://openalex.org/W2063751901","https://openalex.org/W2067190946","https://openalex.org/W2081128495","https://openalex.org/W2087982862","https://openalex.org/W2095293504","https://openalex.org/W2104041478","https://openalex.org/W2116194354","https://openalex.org/W2126956247","https://openalex.org/W2128314959","https://openalex.org/W2136780029","https://openalex.org/W2144140472","https://openalex.org/W2145654434","https://openalex.org/W2146048941","https://openalex.org/W2153624566","https://openalex.org/W2153649056","https://openalex.org/W2155353872","https://openalex.org/W2156737316","https://openalex.org/W2162007056","https://openalex.org/W2166395447","https://openalex.org/W2166905390","https://openalex.org/W2175048538","https://openalex.org/W2319712216","https://openalex.org/W2381162149","https://openalex.org/W2513567506","https://openalex.org/W2559795692","https://openalex.org/W2570604793","https://openalex.org/W2582743722","https://openalex.org/W2588069789","https://openalex.org/W2611396065","https://openalex.org/W2612203245","https://openalex.org/W2749619773","https://openalex.org/W2783365525","https://openalex.org/W2791974958","https://openalex.org/W2951271819","https://openalex.org/W2963944954","https://openalex.org/W2963987436","https://openalex.org/W2963998718","https://openalex.org/W3100205542","https://openalex.org/W3101278091","https://openalex.org/W3101528479","https://openalex.org/W3103307686","https://openalex.org/W3104150118","https://openalex.org/W3105028562","https://openalex.org/W3126033509","https://openalex.org/W4301649874","https://openalex.org/W4399641643","https://openalex.org/W6608852248","https://openalex.org/W6610456749","https://openalex.org/W6644722015","https://openalex.org/W6699553407","https://openalex.org/W6731884335","https://openalex.org/W6737346859","https://openalex.org/W6765891331"],"related_works":["https://openalex.org/W3179905963","https://openalex.org/W2392768766","https://openalex.org/W2058118494","https://openalex.org/W4295788906","https://openalex.org/W2382021449","https://openalex.org/W2103389675","https://openalex.org/W2095118173","https://openalex.org/W2104269053","https://openalex.org/W2106424170","https://openalex.org/W597240865"],"abstract_inverted_index":{"Abstract":[0],"Rich-club":[1],"ordering":[2,28,53,89],"refers":[3],"to":[4,13,31,41,45,56,128],"the":[5,24,37,84,123,130],"tendency":[6],"of":[7,26,67,71,86,108,132],"nodes":[8,125],"with":[9,54,101],"a":[10,81,95],"high":[11],"degree":[12,39],"be":[14],"more":[15],"interconnected":[16],"than":[17],"expected.":[18],"In":[19],"this":[20],"article,":[21],"we":[22,92,111],"consider":[23],"concept":[25],"rich-club":[27,52,88,116],"when":[29],"generalized":[30,87],"structural":[32,58,113],"measures":[33,43,61],"that":[34],"differ":[35],"from":[36],"node":[38,46,102,109],"and":[40,59,70,114],"non-structural":[42,60,115],"(i.e.":[44],"metadata).":[47],"The":[48],"differences":[49],"in":[50,65,97,134],"considering":[51,105],"respect":[55],"both":[57],"is":[62,90,126],"then":[63],"discussed":[64],"terms":[66],"employed":[68],"coefficients":[69],"appropriate":[72],"null":[73],"models":[74],"(link":[75],"rewiring":[76],"vs.":[77],"metadata":[78],"reshuffling).":[79],"Once":[80],"framework":[82],"for":[83],"evaluation":[85],"defined,":[91],"investigate":[93],"such":[94],"phenomenon":[96],"real":[98],"networks":[99],"provided":[100],"metadata.":[103],"By":[104],"different":[106],"notions":[107],"richness,":[110],"compare":[112],"ordering,":[117],"observing":[118],"how":[119],"external":[120],"information":[121],"about":[122],"network":[124],"able":[127],"validate":[129],"presence":[131],"rich-clubs":[133],"networked":[135],"systems.":[136]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":4}],"updated_date":"2026-07-17T09:13:05.818461","created_date":"2025-10-10T00:00:00"}