{"id":"https://openalex.org/W2015456599","doi":"https://doi.org/10.1088/1367-2630/9/6/186","title":"Directed network modules","display_name":"Directed network modules","publication_year":2007,"publication_date":"2007-06-28","ids":{"openalex":"https://openalex.org/W2015456599","doi":"https://doi.org/10.1088/1367-2630/9/6/186","mag":"2015456599"},"language":"en","primary_location":{"id":"doi:10.1088/1367-2630/9/6/186","doi":"https://doi.org/10.1088/1367-2630/9/6/186","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1367-2630/9/6/186","pdf_url":"https://iopscience.iop.org/article/10.1088/1367-2630/9/6/186/pdf","source":{"id":"https://openalex.org/S148121101","display_name":"New Journal of Physics","issn_l":"1367-2630","issn":["1367-2630"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-b","jufo-2","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Journal of Physics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://iopscience.iop.org/article/10.1088/1367-2630/9/6/186/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035349918","display_name":"Gergely Palla","orcid":"https://orcid.org/0000-0002-3406-4200","observed_orcids":["https://orcid.org/0000-0002-3406-4200"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gergely Palla","raw_affiliation_strings":["Statistical and Biological Physics Research Group of HAS, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1A, Budapest, H-1117 Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Statistical and Biological Physics Research Group of HAS, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1A, Budapest, H-1117 Hungary","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000251403","display_name":"Ill\u00e9s J. Farkas","orcid":"https://orcid.org/0000-0001-5341-5582","observed_orcids":["https://orcid.org/0000-0001-5341-5582"]},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Ill\u00e9s J Farkas","raw_affiliation_strings":["Department of Biological Physics, E\u00f6tv\u00f6s University, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1A, Budapest, H-1117 Hungary","Statistical and Biological Physics Research Group of HAS, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1A, Budapest, H-1117 Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biological Physics, E\u00f6tv\u00f6s University, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1A, Budapest, H-1117 Hungary","institution_ids":["https://openalex.org/I106118109"]},{"raw_affiliation_string":"Statistical and Biological Physics Research Group of HAS, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1A, Budapest, H-1117 Hungary","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012976652","display_name":"P\u00e9ter Pollner","orcid":"https://orcid.org/0000-0003-0464-4893","observed_orcids":["https://orcid.org/0000-0003-0464-4893"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"P\u00e9ter Pollner","raw_affiliation_strings":["Statistical and Biological Physics Research Group of HAS, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1A, Budapest, H-1117 Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Statistical and Biological Physics Research Group of HAS, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1A, Budapest, H-1117 Hungary","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013747794","display_name":"Imre Der\u00e9nyi","orcid":"https://orcid.org/0000-0003-1171-1214","observed_orcids":["https://orcid.org/0000-0003-1171-1214"]},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Imre Der\u00e9nyi","raw_affiliation_strings":["Department of Biological Physics, E\u00f6tv\u00f6s University, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1A, Budapest, H-1117 Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biological Physics, E\u00f6tv\u00f6s University, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1A, Budapest, H-1117 Hungary","institution_ids":["https://openalex.org/I106118109"]}]},{"author_position":"last","author":{"id":null,"display_name":"Tam\u00e1s Vicsek","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I106118109","display_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","ror":"https://ror.org/01jsq2704","country_code":"HU","type":"education","lineage":["https://openalex.org/I106118109"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Tam\u00e1s Vicsek","raw_affiliation_strings":["Department of Biological Physics, E\u00f6tv\u00f6s University, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1A, Budapest, H-1117 Hungary","Statistical and Biological Physics Research Group of HAS, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1A, Budapest, H-1117 Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Biological Physics, E\u00f6tv\u00f6s University, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1A, Budapest, H-1117 Hungary","institution_ids":["https://openalex.org/I106118109"]},{"raw_affiliation_string":"Statistical and Biological Physics Research Group of HAS, P\u00e1zm\u00e1ny P\u00e9ter S\u00e9t\u00e1ny 1A, Budapest, H-1117 Hungary","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2610,"currency":"USD","value_usd":2610},"apc_paid":{"value":2610,"currency":"USD","value_usd":2610},"fwci":6.8683,"has_fulltext":true,"cited_by_count":160,"citation_normalized_percentile":{"value":0.98051606,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"9","issue":"6","first_page":"186","last_page":"186"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9994999766349792,"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":0.9994999766349792,"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/T10887","display_name":"Bioinformatics and Genomic Networks","score":0.00019999999494757503,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12292","display_name":"Graph Theory and Algorithms","score":0.0,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/clique-percolation","display_name":"clique percolation","score":0.9380000233650208},{"id":"https://openalex.org/keywords/percolation-transition","display_name":"percolation transition","score":0.765999972820282},{"id":"https://openalex.org/keywords/web-graph","display_name":"web graph","score":0.7049999833106995},{"id":"https://openalex.org/keywords/email-networks","display_name":"email networks","score":0.9710000157356262},{"id":"https://openalex.org/keywords/word-association-networks","display_name":"word association networks","score":0.921999990940094},{"id":"https://openalex.org/keywords/transcriptional-regulatory-networks","display_name":"transcriptional regulatory networks","score":0.9739999771118164},{"id":"https://openalex.org/keywords/saccharomyces-cerevisiae","display_name":"Saccharomyces cerevisiae","score":0.9559999704360962}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8334000110626221},{"id":"https://openalex.org/C2986587452","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical analysis","level":2,"score":0.5536999702453613},{"id":"https://openalex.org/C28225019","wikidata":"https://www.wikidata.org/wiki/Q4915005","display_name":"Biological network","level":2,"score":0.4823000133037567},{"id":"https://openalex.org/C114289077","wikidata":"https://www.wikidata.org/wiki/Q3284399","display_name":"Statistical model","level":2,"score":0.3555000126361847},{"id":"https://openalex.org/C32946077","wikidata":"https://www.wikidata.org/wiki/Q618079","display_name":"Network analysis","level":2,"score":0.26840001344680786},{"id":"https://openalex.org/C2986762682","wikidata":"https://www.wikidata.org/wiki/Q964754","display_name":"Basic research","level":2,"score":0.2624000012874603},{"id":"https://openalex.org/C48057537","wikidata":"https://www.wikidata.org/wiki/Q3551145","display_name":"Statistical theory","level":2,"score":0.24420000612735748},{"id":"https://openalex.org/C2522767166","wikidata":"https://www.wikidata.org/wiki/Q2374463","display_name":"Data science","level":1,"score":0.24050000309944153},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.22990000247955322},{"id":"https://openalex.org/C43596424","wikidata":"https://www.wikidata.org/wiki/Q98124957","display_name":"Probability and statistics","level":2,"score":0.21320000290870667}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1088/1367-2630/9/6/186","doi":"https://doi.org/10.1088/1367-2630/9/6/186","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1367-2630/9/6/186","pdf_url":"https://iopscience.iop.org/article/10.1088/1367-2630/9/6/186/pdf","source":{"id":"https://openalex.org/S148121101","display_name":"New Journal of Physics","issn_l":"1367-2630","issn":["1367-2630"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-b","jufo-2","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Journal of Physics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:physics/0703248","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/physics/0703248","pdf_url":"https://arxiv.org/pdf/physics/0703248","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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:CiteSeerX.psu:10.1.1.76.3411","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.76.3411","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://angel.elte.hu/~derenyi/publ/directed_nw_modules.pdf","raw_type":"text"},{"id":"pmh:oai:cds.cern.ch:1026481","doi":null,"is_oa":false,"landing_page_url":"http://cds.cern.ch/record/1026481","pdf_url":null,"source":{"id":"https://openalex.org/S4306402195","display_name":"CERN Document Server (European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},{"id":"pmh:oai:edit.elte.hu:10831/92908","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10831/92908","pdf_url":null,"source":{"id":"https://openalex.org/S4306400126","display_name":"ELTE Digital Institutional Repository (EDIT) (E\u00f6tv\u00f6s Lor\u00e1nd University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I106118109","host_organization_name":"E\u00f6tv\u00f6s Lor\u00e1nd University","host_organization_lineage":["https://openalex.org/I106118109"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"doi:10.48550/arxiv.physics/0703248","doi":"https://doi.org/10.48550/arxiv.physics/0703248","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.physics/0703248","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"doi:10.1088/1367-2630/9/6/186","doi":"https://doi.org/10.1088/1367-2630/9/6/186","is_oa":true,"landing_page_url":"https://doi.org/10.1088/1367-2630/9/6/186","pdf_url":"https://iopscience.iop.org/article/10.1088/1367-2630/9/6/186/pdf","source":{"id":"https://openalex.org/S148121101","display_name":"New Journal of Physics","issn_l":"1367-2630","issn":["1367-2630"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-b","jufo-2","norway-2","oarl","poland-140","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310320083","host_organization_name":"IOP Publishing","host_organization_lineage":["https://openalex.org/P4310320083","https://openalex.org/P4310311669"],"host_organization_lineage_names":["IOP Publishing","Institute of Physics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"New Journal of Physics","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321994","display_name":"Hungarian Scientific Research Fund","ror":"https://ror.org/00v349e63"},{"id":"https://openalex.org/F4320322193","display_name":"Nemzeti Kutat\u00e1si \u00e9s Technol\u00f3giai Hivatal","ror":"https://ror.org/03g2am276"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2015456599.pdf","grobid_xml":"https://content.openalex.org/works/W2015456599.grobid-xml"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W567498258","https://openalex.org/W1513501940","https://openalex.org/W1971421925","https://openalex.org/W1973353128","https://openalex.org/W1975522802","https://openalex.org/W1995907191","https://openalex.org/W2008620264","https://openalex.org/W2012852001","https://openalex.org/W2015370254","https://openalex.org/W2018045523","https://openalex.org/W2037187863","https://openalex.org/W2046662198","https://openalex.org/W2070497706","https://openalex.org/W2070722739","https://openalex.org/W2080498142","https://openalex.org/W2081931663","https://openalex.org/W2082603871","https://openalex.org/W2092124750","https://openalex.org/W2098321378","https://openalex.org/W2103017472","https://openalex.org/W2109110326","https://openalex.org/W2112090702","https://openalex.org/W2116117181","https://openalex.org/W2123199877","https://openalex.org/W2124637492","https://openalex.org/W2125050594","https://openalex.org/W2130476447","https://openalex.org/W2144885342","https://openalex.org/W2151936673","https://openalex.org/W2152495216","https://openalex.org/W2153624566","https://openalex.org/W2164928285","https://openalex.org/W2165533101","https://openalex.org/W2166574880","https://openalex.org/W2169404653","https://openalex.org/W2997134027","https://openalex.org/W4210901545"],"related_works":["https://openalex.org/W7097822601","https://openalex.org/W2157551912","https://openalex.org/W2267125969","https://openalex.org/W2987071113","https://openalex.org/W2063251739","https://openalex.org/W1510744274","https://openalex.org/W1551713770","https://openalex.org/W2082257952","https://openalex.org/W2296317126","https://openalex.org/W2010764839"],"abstract_inverted_index":{"A":[0],"search":[1],"technique":[2],"locating":[3],"network":[4,72,125,144],"modules,":[5],"i.e.":[6],"internally":[7],"densely":[8],"connected":[9],"groups":[10,112],"of":[11,73,97,115],"nodes":[12],"in":[13,42,113,122,138],"directed":[14,35,55,81,95],"networks":[15,105],"is":[16],"introduced":[17],"by":[18,85],"extending":[19],"the":[20,43,69,74,90,103,116,119,123,136,139],"clique":[21],"percolation":[22,40],"method":[23],"originally":[24],"proposed":[25],"for":[26,34,89],"undirected":[27],"networks.":[28],"After":[29],"giving":[30],"a":[31,64],"suitable":[32],"definition":[33],"modules":[36,82,96,137],"we":[37],"investigate":[38],"their":[39],"transition":[41],"Erd\u0151s\u2013R\u00e9nyi":[44],"graph":[45,67],"both":[46],"analytically":[47],"and":[48,68,102,126,141],"numerically.":[49],"We":[50,92],"also":[51],"analyse":[52],"four":[53],"real-world":[54,98],"networks,":[56],"including":[57],"Google's":[58,127],"own":[59],"web-pages,":[60,128],"an":[61],"email":[62,140],"network,":[63],"word":[65],"association":[66],"transcriptional":[70,142],"regulatory":[71,143],"yeast":[75],"Saccharomyces":[76],"cerevisiae":[77],".":[78],"The":[79],"obtained":[80],"are":[83,130],"validated":[84],"additional":[86],"information":[87],"available":[88],"nodes.":[91],"find":[93],"that":[94],"graphs":[99],"inherently":[100],"overlap":[101,147],"investigated":[104],"can":[106],"be":[107],"classified":[108],"into":[109],"two":[110],"major":[111],"terms":[114],"overlaps":[117,129],"between":[118],"modules.":[120],"Accordingly,":[121],"word-association":[124],"likely":[131],"to":[132,146],"contain":[133],"in-hubs,":[134],"whereas":[135],"tend":[145],"via":[148],"out-hubs.":[149]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":17},{"year":2013,"cited_by_count":13},{"year":2012,"cited_by_count":15}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}