{"id":"https://openalex.org/W2040858714","doi":"https://doi.org/10.1109/asonam.2014.6921686","title":"Extension of Modularity Density for overlapping community structure","display_name":"Extension of Modularity Density for overlapping community structure","publication_year":2014,"publication_date":"2014-08-01","ids":{"openalex":"https://openalex.org/W2040858714","doi":"https://doi.org/10.1109/asonam.2014.6921686","mag":"2040858714"},"language":"en","primary_location":{"id":"doi:10.1109/asonam.2014.6921686","is_oa":false,"landing_page_url":"https://doi.org/10.1109/asonam.2014.6921686","pdf_url":null,"source":{"id":"https://openalex.org/S4363608209","display_name":"2014 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM 2014)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM 2014)","raw_type":"proceedings-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1507.04606","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100429437","display_name":"Mingming Chen","orcid":"https://orcid.org/0000-0002-8931-7826"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mingming Chen","raw_affiliation_strings":["Department of Computer Science, Rensselaer Polytechnic Institute, Troy, NY","Department of Computer Science, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY 12180, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Rensselaer Polytechnic Institute, Troy, NY","institution_ids":["https://openalex.org/I165799507"]},{"raw_affiliation_string":"Department of Computer Science, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY 12180, USA","institution_ids":["https://openalex.org/I165799507"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077740969","display_name":"Konstantin Kuzmin","orcid":"https://orcid.org/0000-0002-9586-4412"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Konstantin Kuzmin","raw_affiliation_strings":["Department of Computer Science, Rensselaer Polytechnic Institute, Troy, NY","Department of Computer Science, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY 12180, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Rensselaer Polytechnic Institute, Troy, NY","institution_ids":["https://openalex.org/I165799507"]},{"raw_affiliation_string":"Department of Computer Science, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY 12180, USA","institution_ids":["https://openalex.org/I165799507"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004745888","display_name":"Boles\u0142aw K. Szyma\u0144ski","orcid":"https://orcid.org/0000-0002-0307-6743"},"institutions":[{"id":"https://openalex.org/I165799507","display_name":"Rensselaer Polytechnic Institute","ror":"https://ror.org/01rtyzb94","country_code":"US","type":"education","lineage":["https://openalex.org/I165799507"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Boleslaw K. Szymanski","raw_affiliation_strings":["Department of Computer Science, Rensselaer Polytechnic Institute, Troy, NY","Department of Computer Science, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY 12180, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Rensselaer Polytechnic Institute, Troy, NY","institution_ids":["https://openalex.org/I165799507"]},{"raw_affiliation_string":"Department of Computer Science, Rensselaer Polytechnic Institute, 110 8th Street, Troy, NY 12180, USA","institution_ids":["https://openalex.org/I165799507"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100429437"],"corresponding_institution_ids":["https://openalex.org/I165799507"],"apc_list":null,"apc_paid":null,"fwci":3.2309,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.93092105,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"856","last_page":"863"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9850999712944031,"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/T13283","display_name":"Mental Health Research Topics","score":0.9786999821662903,"subfield":{"id":"https://openalex.org/subfields/3205","display_name":"Experimental and Cognitive Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/modularity","display_name":"Modularity (biology)","score":0.9344316124916077},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.7990931272506714},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6888799667358398},{"id":"https://openalex.org/keywords/community-structure","display_name":"Community structure","score":0.6505364179611206},{"id":"https://openalex.org/keywords/clique-percolation-method","display_name":"Clique percolation method","score":0.6483706831932068},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.637551486492157},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.5705215334892273},{"id":"https://openalex.org/keywords/quality","display_name":"Quality (philosophy)","score":0.5027592182159424},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4927697479724884},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.45007801055908203},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4483102262020111},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.3825085461139679},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29260122776031494},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11238095164299011},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.09999632835388184},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.05881437659263611},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.055837482213974}],"concepts":[{"id":"https://openalex.org/C2779478453","wikidata":"https://www.wikidata.org/wiki/Q6889748","display_name":"Modularity (biology)","level":2,"score":0.9344316124916077},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7990931272506714},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6888799667358398},{"id":"https://openalex.org/C133079900","wikidata":"https://www.wikidata.org/wiki/Q5155065","display_name":"Community structure","level":2,"score":0.6505364179611206},{"id":"https://openalex.org/C128243737","wikidata":"https://www.wikidata.org/wiki/Q5134414","display_name":"Clique percolation method","level":3,"score":0.6483706831932068},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.637551486492157},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.5705215334892273},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.5027592182159424},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4927697479724884},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.45007801055908203},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4483102262020111},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.3825085461139679},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29260122776031494},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11238095164299011},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.09999632835388184},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.05881437659263611},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.055837482213974},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/asonam.2014.6921686","is_oa":false,"landing_page_url":"https://doi.org/10.1109/asonam.2014.6921686","pdf_url":null,"source":{"id":"https://openalex.org/S4363608209","display_name":"2014 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM 2014)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining (ASONAM 2014)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1507.04606","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1507.04606","pdf_url":"https://arxiv.org/pdf/1507.04606","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:CiteSeerX.psu:10.1.1.639.4953","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.639.4953","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.rpi.edu/~szymansk/papers/snaa-2014.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1507.04606","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1507.04606","pdf_url":"https://arxiv.org/pdf/1507.04606","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":30,"referenced_works":["https://openalex.org/W1774824195","https://openalex.org/W1971421925","https://openalex.org/W1977713568","https://openalex.org/W2000560314","https://openalex.org/W2001017535","https://openalex.org/W2008015797","https://openalex.org/W2012737887","https://openalex.org/W2013307517","https://openalex.org/W2033507223","https://openalex.org/W2037096232","https://openalex.org/W2044719661","https://openalex.org/W2089458547","https://openalex.org/W2091202730","https://openalex.org/W2095293504","https://openalex.org/W2127048411","https://openalex.org/W2128366083","https://openalex.org/W2132013054","https://openalex.org/W2142170653","https://openalex.org/W2151936673","https://openalex.org/W2159201125","https://openalex.org/W2951993312","https://openalex.org/W3098935589","https://openalex.org/W3100069540","https://openalex.org/W3101413764","https://openalex.org/W3102641634","https://openalex.org/W3103973800","https://openalex.org/W3105411815","https://openalex.org/W4292081303","https://openalex.org/W6637930306","https://openalex.org/W6683602289"],"related_works":["https://openalex.org/W2153048426","https://openalex.org/W2613291114","https://openalex.org/W2079295974","https://openalex.org/W1989028327","https://openalex.org/W2349859869","https://openalex.org/W2889168673","https://openalex.org/W2898992240","https://openalex.org/W2941372263","https://openalex.org/W4288374867","https://openalex.org/W3114311606"],"abstract_inverted_index":{"Modularity":[0,63],"is":[1,36,111,125],"widely":[2],"used":[3,112],"to":[4,27,54,66],"effectively":[5],"measure":[6,28,128],"the":[7,10,29,56,62,96,102,105,114,130],"strength":[8],"of":[9,23,31,38,41,52,83,104,108,129,132],"disjoint":[11],"community":[12,16,33,91,134],"structure":[13,135],"found":[14],"by":[15],"detection":[17],"algorithms.":[18],"Although":[19],"several":[20],"overlapping":[21,32,50,71,81,85,122,133],"extensions":[22,51,82],"modularity":[24,53,86,123],"were":[25],"proposed":[26],"quality":[30,92,131],"structure,":[34],"there":[35],"lack":[37],"systematic":[39],"comparison":[40],"different":[42],"extensions.":[43],"To":[44],"fill":[45],"this":[46],"gap,":[47],"we":[48,60],"overview":[49],"select":[55],"best.":[57],"In":[58],"addition,":[59],"extend":[61],"Density":[64],"metric":[65],"enable":[67],"its":[68],"usage":[69],"for":[70],"communities.":[72],"The":[73],"experimental":[74],"results":[75,98],"on":[76],"four":[77],"real":[78],"networks":[79],"using":[80],"modularity,":[84],"density,":[87],"and":[88],"six":[89],"other":[90,137],"metrics":[93,138],"show":[94],"that":[95,121],"best":[97],"are":[99],"obtained":[100],"when":[101],"product":[103],"belonging":[106,115],"coefficients":[107],"two":[109],"nodes":[110],"as":[113],"function.":[116],"Moreover,":[117],"our":[118],"experiments":[119],"indicate":[120],"density":[124],"a":[126],"better":[127],"than":[136],"considered.":[139]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}