{"id":"https://openalex.org/W2131926310","doi":"https://doi.org/10.1007/s11786-007-0035-1","title":"Community Structures of Networks","display_name":"Community Structures of Networks","publication_year":2008,"publication_date":"2008-03-01","ids":{"openalex":"https://openalex.org/W2131926310","doi":"https://doi.org/10.1007/s11786-007-0035-1","mag":"2131926310"},"language":"en","primary_location":{"id":"doi:10.1007/s11786-007-0035-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11786-007-0035-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11786-007-0035-1.pdf","source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics in Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11786-007-0035-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074795333","display_name":"William Y. C. Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"William Y. C. Chen","raw_affiliation_strings":["Center for Combinatorics, LPMC, Nankai University, Tianjin, 300071, P.R. China","Nankai University"],"affiliations":[{"raw_affiliation_string":"Center for Combinatorics, LPMC, Nankai University, Tianjin, 300071, P.R. China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"Nankai University","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111472625","display_name":"Andreas Dress","orcid":null},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210091327","display_name":"Max Planck Institute for Mathematics in the Sciences","ror":"https://ror.org/00ez2he07","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210091327"]},{"id":"https://openalex.org/I4210106477","display_name":"Shanghai Institutes for Biological Sciences","ror":"https://ror.org/011rf9d86","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210106477"]}],"countries":["CN","DE"],"is_corresponding":false,"raw_author_name":"Andreas W. M. Dress","raw_affiliation_strings":["CAS-MPG Partner Institute for Computational Biology, Shanghai Institutes for Biological Sciences, Chinese Academy of Sciences, Shanghai, 200031, P.R. China","Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften, Inselstrasse 22\u201326, D-04103, Leipzig, Germany","Chinese Academy of Sciences","Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften"],"affiliations":[{"raw_affiliation_string":"CAS-MPG Partner Institute for Computational Biology, Shanghai Institutes for Biological Sciences, Chinese Academy of Sciences, Shanghai, 200031, P.R. China","institution_ids":["https://openalex.org/I4210106477","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften, Inselstrasse 22\u201326, D-04103, Leipzig, Germany","institution_ids":["https://openalex.org/I4210091327"]},{"raw_affiliation_string":"Chinese Academy of Sciences","institution_ids":["https://openalex.org/I19820366"]},{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Mathematik in den Naturwissenschaften","institution_ids":["https://openalex.org/I4210091327"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084652390","display_name":"Winking Q. Yu","orcid":null},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Winking Q. Yu","raw_affiliation_strings":["Center for Combinatorics, LPMC, Nankai University, Tianjin, 300071, P.R. China","Nankai University"],"affiliations":[{"raw_affiliation_string":"Center for Combinatorics, LPMC, Nankai University, Tianjin, 300071, P.R. China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"Nankai University","institution_ids":["https://openalex.org/I205237279"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074795333"],"corresponding_institution_ids":["https://openalex.org/I205237279"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":0.8431,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.75088562,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"1","issue":"3","first_page":"441","last_page":"457"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9991000294685364,"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":0.9991000294685364,"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":0.9419000148773193,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.7899727821350098},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6527137160301208},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5415743589401245},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5188597440719604},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.5148957967758179},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4730110466480255},{"id":"https://openalex.org/keywords/community-structure","display_name":"Community structure","score":0.46017566323280334},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41765159368515015},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3771815001964569},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35384196043014526},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24300643801689148},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2069084644317627},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1719968020915985}],"concepts":[{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7899727821350098},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6527137160301208},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5415743589401245},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5188597440719604},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.5148957967758179},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4730110466480255},{"id":"https://openalex.org/C133079900","wikidata":"https://www.wikidata.org/wiki/Q5155065","display_name":"Community structure","level":2,"score":0.46017566323280334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41765159368515015},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3771815001964569},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35384196043014526},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24300643801689148},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2069084644317627},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1719968020915985},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s11786-007-0035-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11786-007-0035-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11786-007-0035-1.pdf","source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics in Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.497.9601","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.497.9601","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.billchen.org/publications/2008_441_networks/2008_441_networks.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/s11786-007-0035-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11786-007-0035-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11786-007-0035-1.pdf","source":{"id":"https://openalex.org/S136038430","display_name":"Mathematics in Computer Science","issn_l":"1661-8270","issn":["1661-8270","1661-8289"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics in Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3151526626","display_name":null,"funder_award_id":"PCSIRT","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G391238517","display_name":null,"funder_award_id":", and","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4020255992","display_name":null,"funder_award_id":"Project","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5939423041","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322434","display_name":"Max-Planck-Gesellschaft","ror":"https://ror.org/01hhn8329"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2131926310.pdf","grobid_xml":"https://content.openalex.org/works/W2131926310.grobid-xml"},"referenced_works_count":48,"referenced_works":["https://openalex.org/W1968143987","https://openalex.org/W1971421925","https://openalex.org/W1971788485","https://openalex.org/W1972501876","https://openalex.org/W1975998971","https://openalex.org/W1985381446","https://openalex.org/W1992107140","https://openalex.org/W1997801513","https://openalex.org/W2001969264","https://openalex.org/W2004951603","https://openalex.org/W2007513481","https://openalex.org/W2008620264","https://openalex.org/W2015370254","https://openalex.org/W2021246875","https://openalex.org/W2038518475","https://openalex.org/W2038920443","https://openalex.org/W2047893320","https://openalex.org/W2047940964","https://openalex.org/W2049947556","https://openalex.org/W2055747219","https://openalex.org/W2062021443","https://openalex.org/W2070232376","https://openalex.org/W2071125379","https://openalex.org/W2089458547","https://openalex.org/W2095007759","https://openalex.org/W2095072199","https://openalex.org/W2095293504","https://openalex.org/W2097476332","https://openalex.org/W2101194032","https://openalex.org/W2102931907","https://openalex.org/W2104085672","https://openalex.org/W2112090702","https://openalex.org/W2114030927","https://openalex.org/W2125050594","https://openalex.org/W2125315567","https://openalex.org/W2130790725","https://openalex.org/W2140185066","https://openalex.org/W2157523980","https://openalex.org/W2161455936","https://openalex.org/W2164727176","https://openalex.org/W2166007234","https://openalex.org/W2166692708","https://openalex.org/W2606584716","https://openalex.org/W2769133055","https://openalex.org/W2994762488","https://openalex.org/W3103786587","https://openalex.org/W4244171148","https://openalex.org/W4244446631"],"related_works":["https://openalex.org/W1971174658","https://openalex.org/W2099195351","https://openalex.org/W4256429076","https://openalex.org/W2012063272","https://openalex.org/W2348092930","https://openalex.org/W2062850566","https://openalex.org/W4308716484","https://openalex.org/W2098284475","https://openalex.org/W2587900963","https://openalex.org/W3004486383"],"abstract_inverted_index":{"We":[0,82],"present":[1],"an":[2],"approach":[3,91],"to":[4],"studying":[5],"the":[6,65,77],"community":[7,99],"structures":[8,100],"of":[9,22,26,32,36,71],"networks":[10],"by":[11,56],"using":[12],"linear":[13],"programming":[14],"(LP).":[15],"Starting":[16],"with":[17],"a":[18,24,30,41,52,68,93],"network":[19,66],"in":[20,88,101],"terms":[21],"(a)":[23],"collection":[25,31],"nodes":[27],"and":[28,59,73],"(b)":[29],"edges":[33,62],"connecting":[34],"some":[35],"these":[37],"nodes,":[38],"we":[39],"use":[40],"new":[42],"LP-based":[43],"method":[44],"for":[45,79,97],"simultaneously":[46],"(i)":[47],"finding,":[48],"at":[49],"minimal":[50],"cost,":[51],"second":[53],"edge":[54],"set":[55],"deleting":[57],"existing":[58],"inserting":[60],"additional":[61],"so":[63],"that":[64,85],"becomes":[67],"disjoint":[69],"union":[70],"cliques":[72],"(ii)":[74],"appropriately":[75],"calibrating":[76],"costs":[78],"doing":[80],"so.":[81],"provide":[83],"examples":[84],"suggest":[86],"that,":[87],"practice,":[89],"this":[90],"provides":[92],"surprisingly":[94],"good":[95],"strategy":[96],"detecting":[98],"given":[102],"networks.":[103]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
