{"id":"https://openalex.org/W2953672966","doi":"https://doi.org/10.1007/s41109-019-0149-9","title":"A new model for overlapping communities with arbitrary internal structure","display_name":"A new model for overlapping communities with arbitrary internal structure","publication_year":2019,"publication_date":"2019-06-27","ids":{"openalex":"https://openalex.org/W2953672966","doi":"https://doi.org/10.1007/s41109-019-0149-9","mag":"2953672966"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41109-019-0149-9","pdf_url":"https://appliednetsci.springeropen.com/track/pdf/10.1007/s41109-019-0149-9.pdf","source":{"id":"https://openalex.org/S3035517252","display_name":"Applied Network Science","issn_l":"2364-8228","issn":["2364-8228"],"is_oa":true,"is_in_doaj":true,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://appliednetsci.springeropen.com/track/pdf/10.1007/s41109-019-0149-9.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5014289903","display_name":"Vikt\u00f3ria Vadon","orcid":"https://orcid.org/0000-0003-3759-5215"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Vikt\u00f3ria Vadon","raw_affiliation_strings":["Technology University of Eindhoven, Department M&CS, Eindhoven, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Technology University of Eindhoven, Department M&CS, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000030011","display_name":"J\u00falia Komj\u00e1thy","orcid":"https://orcid.org/0000-0003-1919-6229"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"J\u00falia Komj\u00e1thy","raw_affiliation_strings":["Technology University of Eindhoven, Department M&CS, Eindhoven, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Technology University of Eindhoven, Department M&CS, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034587660","display_name":"Remco van der Hofstad","orcid":"https://orcid.org/0000-0003-1331-9697"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Remco van der Hofstad","raw_affiliation_strings":["Technology University of Eindhoven, Department M&CS, Eindhoven, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Technology University of Eindhoven, Department M&CS, Eindhoven, The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014289903"],"corresponding_institution_ids":["https://openalex.org/I83019370"],"apc_list":{"value":790,"currency":"GBP","value_usd":969,"provenance":"doaj"},"apc_paid":{"value":790,"currency":"GBP","value_usd":969,"provenance":"doaj"},"fwci":0.805,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":9,"citation_normalized_percentile":{"value":0.858882,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":84,"max":85},"biblio":{"volume":"4","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":1.0,"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":1.0,"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":0.9988,"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/T11152","display_name":"Stochastic processes and statistical mechanics","score":0.998,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/clustering-coefficient","display_name":"Clustering coefficient","score":0.72247267},{"id":"https://openalex.org/keywords/giant-component","display_name":"Giant component","score":0.634959},{"id":"https://openalex.org/keywords/degree-distribution","display_name":"Degree distribution","score":0.6180281},{"id":"https://openalex.org/keywords/connected-component","display_name":"Connected component","score":0.46676773},{"id":"https://openalex.org/keywords/local-structure","display_name":"Local structure","score":0.41767016}],"concepts":[{"id":"https://openalex.org/C133079900","wikidata":"https://www.wikidata.org/wiki/Q5155065","display_name":"Community structure","level":2,"score":0.7810825},{"id":"https://openalex.org/C22047676","wikidata":"https://www.wikidata.org/wiki/Q898680","display_name":"Clustering coefficient","level":3,"score":0.72247267},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.64221466},{"id":"https://openalex.org/C148818006","wikidata":"https://www.wikidata.org/wiki/Q4137985","display_name":"Giant component","level":4,"score":0.634959},{"id":"https://openalex.org/C87414783","wikidata":"https://www.wikidata.org/wiki/Q1002603","display_name":"Degree distribution","level":3,"score":0.6180281},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.56866986},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5675046},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.467993},{"id":"https://openalex.org/C193435613","wikidata":"https://www.wikidata.org/wiki/Q2997928","display_name":"Connected component","level":2,"score":0.46676773},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46065092},{"id":"https://openalex.org/C73555534","wikidata":"https://www.wikidata.org/wiki/Q622825","display_name":"Cluster analysis","level":2,"score":0.42850733},{"id":"https://openalex.org/C34947359","wikidata":"https://www.wikidata.org/wiki/Q665189","display_name":"Complex network","level":2,"score":0.4182785},{"id":"https://openalex.org/C2986090443","wikidata":"https://www.wikidata.org/wiki/Q77870413","display_name":"Local structure","level":2,"score":0.41767016},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39157906},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37575567},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36908656},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36217004},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12728935},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C159467904","wikidata":"https://www.wikidata.org/wiki/Q2001702","display_name":"Chemical physics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41109-019-0149-9","pdf_url":"https://appliednetsci.springeropen.com/track/pdf/10.1007/s41109-019-0149-9.pdf","source":{"id":"https://openalex.org/S3035517252","display_name":"Applied Network Science","issn_l":"2364-8228","issn":["2364-8228"],"is_oa":true,"is_in_doaj":true,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":false,"landing_page_url":"https://doaj.org/article/7ad3c885d058476d871d5204fd5be6ee","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://research.tue.nl/nl/publications/2489219d-41c7-4dfa-8ddb-a0aff2e6ab05","pdf_url":"https://research.tue.nl/files/130100473/s41109_019_0149_9.pdf","source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":["Royal Netherlands Academy of Arts and Sciences"],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://pure.tue.nl/ws/files/130100473/s41109_019_0149_9.pdf","pdf_url":"https://pure.tue.nl/ws/files/130100473/s41109_019_0149_9.pdf","source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1007/s41109-019-0149-9","pdf_url":"https://appliednetsci.springeropen.com/track/pdf/10.1007/s41109-019-0149-9.pdf","source":{"id":"https://openalex.org/S3035517252","display_name":"Applied Network Science","issn_l":"2364-8228","issn":["2364-8228"],"is_oa":true,"is_in_doaj":true,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","award_id":"613.001.451"}],"datasets":[],"versions":[],"referenced_works_count":44,"referenced_works":["https://openalex.org/W1572923654","https://openalex.org/W188357332","https://openalex.org/W1883868460","https://openalex.org/W1982442837","https://openalex.org/W1984495995","https://openalex.org/W1993213860","https://openalex.org/W2017202214","https://openalex.org/W2030838786","https://openalex.org/W2041282222","https://openalex.org/W2044881936","https://openalex.org/W2050401089","https://openalex.org/W2056456337","https://openalex.org/W2063090892","https://openalex.org/W2091476183","https://openalex.org/W2106822743","https://openalex.org/W2110596924","https://openalex.org/W2112090702","https://openalex.org/W2119004437","https://openalex.org/W2148606196","https://openalex.org/W2151200985","https://openalex.org/W2165064763","https://openalex.org/W2165341195","https://openalex.org/W2165927934","https://openalex.org/W2169404653","https://openalex.org/W2196704028","https://openalex.org/W2219978534","https://openalex.org/W2283270666","https://openalex.org/W2290127356","https://openalex.org/W2319464067","https://openalex.org/W2478722229","https://openalex.org/W2491238522","https://openalex.org/W2891127345","https://openalex.org/W2946180793","https://openalex.org/W2950627632","https://openalex.org/W2962907701","https://openalex.org/W2964053169","https://openalex.org/W2977322974","https://openalex.org/W3100504582","https://openalex.org/W3103531606","https://openalex.org/W3144881883","https://openalex.org/W390146837","https://openalex.org/W4238452917","https://openalex.org/W4252973173","https://openalex.org/W4312512934"],"related_works":["https://openalex.org/W2896261814","https://openalex.org/W2797447301","https://openalex.org/W2792242268","https://openalex.org/W2562754307","https://openalex.org/W2315206337","https://openalex.org/W2129837124","https://openalex.org/W2077715071","https://openalex.org/W2063086397","https://openalex.org/W1973121905","https://openalex.org/W1536267889"],"abstract_inverted_index":{"We":[0,20,67,98,112],"introduce":[1],"the":[2,22,33,64,70,75,118,122,127,137,141,144,154,157,161,169,183],"random":[3,60],"intersection":[4],"graph":[5],"with":[6,13,16,43,95],"communities,":[7],"a":[8,25,37,44,89,103,150,165,188],"new":[9],"model":[10,23,92],"for":[11,93],"networks":[12,94],"overlapping":[14,138],"communities":[15],"arbitrary":[17,28],"internal":[18],"structure.":[19,97,178],"construct":[21],"from":[24],"list":[26,39],"of":[27,40,47,63,106,117,121,140,156,168],"community":[29,48,65,71,96],"graphs":[30],"that":[31],"are":[32,99],"building":[34],"blocks,":[35],"and":[36,134],"separate":[38],"individuals,":[41],"each":[42],"prescribed":[45],"number":[46],"membership":[49],"tokens.":[50,86],"Randomness":[51],"is":[52],"introduced":[53],"by":[54],"matching":[55],"these":[56],"tokens":[57],"uniformly":[58],"at":[59],"to":[61,74,82,101,197],"vertices":[62],"graphs.":[66],"then":[68],"identify":[69,149],"members":[72],"assigned":[73],"same":[76],"individual,":[77],"thus":[78],"overlaps":[79],"arise":[80],"due":[81],"individuals":[83],"having":[84],"several":[85],"This":[87],"gives":[88],"highly":[90],"flexible":[91],"able":[100],"derive":[102,113],"wide":[104],"range":[105],"analytic":[107],"results":[108,135],"on":[109,136],"this":[110],"model.":[111],"an":[114],"asymptotic":[115,128,176],"description":[116],"local":[119,131,177],"structure":[120,139,185],"graph,":[123,170],"which":[124],"further":[125,173],"yields":[126],"degree":[129],"distribution,":[130],"clustering":[132],"coefficient,":[133],"communities.":[142],"For":[143],"global":[145],"connectivity":[146,184],"structure,":[147],"we":[148,171,180,192],"phase":[151],"transition":[152],"in":[153],"size":[155],"largest":[158,162],"component.":[159],"When":[160],"component":[163],"constitutes":[164],"positive":[166],"proportion":[167],"can":[172],"characterize":[174],"its":[175],"Finally,":[179],"study":[181],"how":[182],"changes":[186],"under":[187],"randomized":[189],"attack,":[190],"where":[191],"remove":[193],"edges":[194],"randomly,":[195],"according":[196],"independent":[198],"coin":[199],"flips.":[200]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2953672966","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1}],"updated_date":"2025-01-20T11:48:41.682861","created_date":"2019-07-12"}