{"id":"https://openalex.org/W2103269698","doi":"https://doi.org/10.1142/s0218127412501714","title":"HIERARCHICAL MULTIRESOLUTION METHOD TO OVERCOME THE RESOLUTION LIMIT IN COMPLEX NETWORKS","display_name":"HIERARCHICAL MULTIRESOLUTION METHOD TO OVERCOME THE RESOLUTION LIMIT IN COMPLEX NETWORKS","publication_year":2012,"publication_date":"2012-07-01","ids":{"openalex":"https://openalex.org/W2103269698","doi":"https://doi.org/10.1142/s0218127412501714","mag":"2103269698"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127412501714","doi":"https://doi.org/10.1142/s0218127412501714","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412501714","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1201.2036","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044570898","display_name":"Clara Granell","orcid":"https://orcid.org/0000-0003-3156-0417","observed_orcids":["https://orcid.org/0000-0003-3156-0417"]},"institutions":[{"id":"https://openalex.org/I55952717","display_name":"Universitat Rovira i Virgili","ror":"https://ror.org/00g5sqv46","country_code":"ES","type":"education","lineage":["https://openalex.org/I55952717"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"CLARA GRANELL","raw_affiliation_strings":["Department d'Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Universitat Rovira i Virgili, Av. Pa\u00efsos Catalans 26, 43007 Tarragona, Catalonia, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department d'Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Universitat Rovira i Virgili, Av. Pa\u00efsos Catalans 26, 43007 Tarragona, Catalonia, Spain","institution_ids":["https://openalex.org/I55952717"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5040997517","display_name":"Sergio G\u00f3mez","orcid":"https://orcid.org/0000-0003-1820-0062","observed_orcids":["https://orcid.org/0000-0003-1820-0062"]},"institutions":[{"id":"https://openalex.org/I55952717","display_name":"Universitat Rovira i Virgili","ror":"https://ror.org/00g5sqv46","country_code":"ES","type":"education","lineage":["https://openalex.org/I55952717"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"SERGIO G\u00d3MEZ","raw_affiliation_strings":["Department d'Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Universitat Rovira i Virgili, Av. Pa\u00efsos Catalans 26, 43007 Tarragona, Catalonia, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department d'Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Universitat Rovira i Virgili, Av. Pa\u00efsos Catalans 26, 43007 Tarragona, Catalonia, Spain","institution_ids":["https://openalex.org/I55952717"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027588100","display_name":"\u00c0lex Arenas","orcid":"https://orcid.org/0000-0003-0937-0334","observed_orcids":["https://orcid.org/0000-0003-0937-0334"]},"institutions":[{"id":"https://openalex.org/I55952717","display_name":"Universitat Rovira i Virgili","ror":"https://ror.org/00g5sqv46","country_code":"ES","type":"education","lineage":["https://openalex.org/I55952717"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"ALEX ARENAS","raw_affiliation_strings":["Department d'Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Universitat Rovira i Virgili, Av. Pa\u00efsos Catalans 26, 43007 Tarragona, Catalonia, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department d'Enginyeria Inform\u00e0tica i Matem\u00e0tiques, Universitat Rovira i Virgili, Av. Pa\u00efsos Catalans 26, 43007 Tarragona, Catalonia, Spain","institution_ids":["https://openalex.org/I55952717"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I55952717"],"apc_list":null,"apc_paid":null,"fwci":2.6118,"has_fulltext":true,"cited_by_count":60,"citation_normalized_percentile":{"value":0.89450066,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":100},"biblio":{"volume":"22","issue":"07","first_page":"1250171","last_page":"1250171"},"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":9.999999747378752e-05,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.0,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/resolution-limit","display_name":"resolution limit","score":0.7580000162124634},{"id":"https://openalex.org/keywords/community-detection","display_name":"community detection","score":0.8519999980926514},{"id":"https://openalex.org/keywords/complex-networks","display_name":"complex networks","score":0.9290000200271606},{"id":"https://openalex.org/keywords/network-modularity","display_name":"network modularity","score":0.7229999899864197},{"id":"https://openalex.org/keywords/modularity-maximization","display_name":"modularity optimization","score":0.5580000281333923},{"id":"https://openalex.org/keywords/network-decomposition","display_name":"network decomposition","score":0.5580000281333923}],"concepts":[{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.6934802532196045},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6827633380889893},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.6688219308853149},{"id":"https://openalex.org/C2779478453","wikidata":"https://www.wikidata.org/wiki/Q6889748","display_name":"Modularity (biology)","level":2,"score":0.6660904884338379},{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.6596447825431824},{"id":"https://openalex.org/C121927907","wikidata":"https://www.wikidata.org/wiki/Q1952516","display_name":"Multiresolution analysis","level":5,"score":0.5737842917442322},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.42801111936569214},{"id":"https://openalex.org/C32946077","wikidata":"https://www.wikidata.org/wiki/Q618079","display_name":"Network analysis","level":2,"score":0.41932862997055054},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3917810916900635},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3803882300853729},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3678950071334839},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.32147416472435},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2659428119659424},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2530064284801483},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C46286280","wikidata":"https://www.wikidata.org/wiki/Q2414958","display_name":"Discrete wavelet transform","level":4,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C196216189","wikidata":"https://www.wikidata.org/wiki/Q2867","display_name":"Wavelet transform","level":3,"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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},{"id":"https://openalex.org/C47432892","wikidata":"https://www.wikidata.org/wiki/Q831390","display_name":"Wavelet","level":2,"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":8,"locations":[{"id":"doi:10.1142/s0218127412501714","doi":"https://doi.org/10.1142/s0218127412501714","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412501714","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-d","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1201.2036","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1201.2036","pdf_url":"https://arxiv.org/pdf/1201.2036","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:10.1.1.703.453","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.703.453","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://deim.urv.cat/%7Eclara.granell/publications/hierarchical.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.726.892","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.726.892","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://deim.urv.cat/%7Esergio.gomez/papers/Granell-Hierarchical_multiresolution_method_to_overcome_the_resolution_limit_in_CN.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.763.3536","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.763.3536","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1201.2036.pdf","raw_type":"text"},{"id":"pmh:oai:urv.cat:PC:109","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/20.500.11797/PC109","pdf_url":null,"source":{"id":"https://openalex.org/S4306401279","display_name":"Repositori institucional URV (Universitat Rovira i Virgili)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I55952717","host_organization_name":"Universitat Rovira i Virgili","host_organization_lineage":["https://openalex.org/I55952717"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"Article"},{"id":"doi:10.48550/arxiv.1201.2036","doi":"https://doi.org/10.48550/arxiv.1201.2036","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1201.2036","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"},{"id":"mag:2184142895","doi":null,"is_oa":false,"landing_page_url":"http://deim.urv.cat/~clara.granell/publications/hierarchical.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1201.2036","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1201.2036","pdf_url":"https://arxiv.org/pdf/1201.2036","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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321505","display_name":"Generalitat de Catalunya","ror":"https://ror.org/01bg62x04"},{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2103269698.pdf","grobid_xml":"https://content.openalex.org/works/W2103269698.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1574010683","https://openalex.org/W1967022297","https://openalex.org/W1968439746","https://openalex.org/W1970301364","https://openalex.org/W1971421925","https://openalex.org/W1971729008","https://openalex.org/W1976702945","https://openalex.org/W1983345514","https://openalex.org/W1985625141","https://openalex.org/W1992107140","https://openalex.org/W2033947830","https://openalex.org/W2041713562","https://openalex.org/W2041994139","https://openalex.org/W2047940964","https://openalex.org/W2048553880","https://openalex.org/W2054902478","https://openalex.org/W2061099285","https://openalex.org/W2089458547","https://openalex.org/W2094983534","https://openalex.org/W2095189226","https://openalex.org/W2095293504","https://openalex.org/W2104615987","https://openalex.org/W2109726592","https://openalex.org/W2112461976","https://openalex.org/W2120043163","https://openalex.org/W2127048411","https://openalex.org/W2128366083","https://openalex.org/W2130776740","https://openalex.org/W2151936673","https://openalex.org/W3101413764"],"related_works":["https://openalex.org/W2184142895","https://openalex.org/W7098107742","https://openalex.org/W2802981640","https://openalex.org/W2095189226","https://openalex.org/W150744350","https://openalex.org/W7111865298","https://openalex.org/W2963041679","https://openalex.org/W2023968567","https://openalex.org/W1976702945","https://openalex.org/W3114311606"],"abstract_inverted_index":{"The":[0,16,104,151],"analysis":[1,120,170],"of":[2,6,18,29,41,53,115,137,171],"the":[3,19,27,30,39,51,63,70,74,94,101,109,116,119,134,139,143,168,176],"modular":[4,20],"structure":[5,21],"networks":[7,14],"is":[8,23,97,106,154],"a":[9,85,128,158],"major":[10],"challenge":[11],"in":[12,62,76,162],"complex":[13],"theory.":[15],"validity":[17],"obtained":[22],"essential":[24],"to":[25,100,107,131,156],"confront":[26],"problem":[28,75],"topology-functionality":[31],"relationship.":[32],"Recently,":[33],"several":[34],"authors":[35],"have":[36],"worked":[37],"on":[38,121,175],"limit":[40],"resolution":[42,102,144],"that":[43,90,146],"different":[44,58],"community":[45],"detection":[46,52],"algorithms":[47],"have,":[48],"making":[49],"impossible":[50],"natural":[54],"modules":[55],"when":[56,93],"very":[57,98],"topological":[59],"scales":[60],"coexist":[61],"network.":[64],"Existing":[65],"multiresolution":[66,88,110],"methods":[67,173],"are":[68],"not":[69],"panacea":[71],"for":[72,112,142],"solving":[73],"extreme":[77],"situations,":[78],"and":[79],"also":[80,126],"fail.":[81],"Here,":[82],"we":[83],"present":[84],"new":[86,129],"hierarchical":[87,152,172],"scheme":[89],"works":[91],"even":[92],"network":[95],"decomposition":[96],"close":[99],"limit.":[103],"idea":[105],"split":[108],"method":[111],"optimal":[113],"subgraphs":[114],"network,":[117],"focusing":[118],"each":[122],"part":[123],"independently.":[124],"We":[125],"propose":[127],"algorithm":[130,153],"speed":[132],"up":[133],"computational":[135],"cost":[136],"screening":[138],"mesoscale":[140],"looking":[141],"parameter":[145],"best":[147],"splits":[148],"every":[149],"subgraph.":[150],"able":[155],"solve":[157],"difficult":[159],"benchmark":[160],"proposed":[161],"[Lancichinetti":[163],"&":[164],"Fortunato,":[165],"2011],":[166],"encouraging":[167],"further":[169],"based":[174],"modularity":[177],"quality":[178],"function.":[179]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":30},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2016-06-24T00:00:00"}