{"id":"https://openalex.org/W2051109346","doi":"https://doi.org/10.14778/2140436.2140442","title":"Densest subgraph in streaming and MapReduce","display_name":"Densest subgraph in streaming and MapReduce","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2051109346","doi":"https://doi.org/10.14778/2140436.2140442","mag":"2051109346"},"language":"en","primary_location":{"id":"doi:10.14778/2140436.2140442","is_oa":false,"landing_page_url":"https://doi.org/10.14778/2140436.2140442","pdf_url":null,"source":{"id":"https://openalex.org/S4210226185","display_name":"Proceedings of the VLDB Endowment","issn_l":"2150-8097","issn":["2150-8097"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the VLDB Endowment","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074192084","display_name":"Bahman Bahmani","orcid":"https://orcid.org/0000-0001-5485-3314"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Bahman Bahmani","raw_affiliation_strings":["Stanford University, Stanford, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Stanford University, Stanford, CA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101772779","display_name":"Ravi Kumar","orcid":"https://orcid.org/0000-0002-2203-2586"},"institutions":[{"id":"https://openalex.org/I4210134091","display_name":"Yahoo (United States)","ror":"https://ror.org/040dkzz12","country_code":"US","type":"company","lineage":["https://openalex.org/I4210134091"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ravi Kumar","raw_affiliation_strings":["Yahoo! Research, Sunnyvale, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Yahoo! Research, Sunnyvale, CA","institution_ids":["https://openalex.org/I4210134091"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070795618","display_name":"Sergei Vassilvitskii","orcid":"https://orcid.org/0000-0003-0235-1624"},"institutions":[{"id":"https://openalex.org/I4210133173","display_name":"Research!America (United States)","ror":"https://ror.org/044pgyv50","country_code":"US","type":"company","lineage":["https://openalex.org/I4210133173"]},{"id":"https://openalex.org/I4210134091","display_name":"Yahoo (United States)","ror":"https://ror.org/040dkzz12","country_code":"US","type":"company","lineage":["https://openalex.org/I4210134091"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sergei Vassilvitskii","raw_affiliation_strings":["Yahoo! Research, New York, NY"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Yahoo! Research, New York, NY","institution_ids":["https://openalex.org/I4210133173","https://openalex.org/I4210134091"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074192084"],"corresponding_institution_ids":["https://openalex.org/I97018004"],"apc_list":null,"apc_paid":null,"fwci":23.4722,"has_fulltext":false,"cited_by_count":222,"citation_normalized_percentile":{"value":0.9963707,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"5","issue":"5","first_page":"454","last_page":"465"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11478","display_name":"Caching and Content Delivery","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11478","display_name":"Caching and Content Delivery","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/parallelizable-manifold","display_name":"Parallelizable manifold","score":0.9594049453735352},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.8562847375869751},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7878898978233337},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5366806983947754},{"id":"https://openalex.org/keywords/induced-subgraph-isomorphism-problem","display_name":"Induced subgraph isomorphism problem","score":0.5238789916038513},{"id":"https://openalex.org/keywords/ranging","display_name":"Ranging","score":0.4757796823978424},{"id":"https://openalex.org/keywords/streaming-algorithm","display_name":"Streaming algorithm","score":0.46148625016212463},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4262789189815521},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2834671139717102},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1569940745830536},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.1386561095714569}],"concepts":[{"id":"https://openalex.org/C148047603","wikidata":"https://www.wikidata.org/wiki/Q1014612","display_name":"Parallelizable manifold","level":2,"score":0.9594049453735352},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.8562847375869751},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7878898978233337},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5366806983947754},{"id":"https://openalex.org/C191241153","wikidata":"https://www.wikidata.org/wiki/Q6027240","display_name":"Induced subgraph isomorphism problem","level":5,"score":0.5238789916038513},{"id":"https://openalex.org/C115051666","wikidata":"https://www.wikidata.org/wiki/Q6522493","display_name":"Ranging","level":2,"score":0.4757796823978424},{"id":"https://openalex.org/C187166803","wikidata":"https://www.wikidata.org/wiki/Q2835831","display_name":"Streaming algorithm","level":3,"score":0.46148625016212463},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4262789189815521},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2834671139717102},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1569940745830536},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.1386561095714569},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.0},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.0},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.14778/2140436.2140442","is_oa":false,"landing_page_url":"https://doi.org/10.14778/2140436.2140442","pdf_url":null,"source":{"id":"https://openalex.org/S4210226185","display_name":"Proceedings of the VLDB Endowment","issn_l":"2150-8097","issn":["2150-8097"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the VLDB Endowment","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W183656749","https://openalex.org/W631140850","https://openalex.org/W1493892051","https://openalex.org/W1500512125","https://openalex.org/W1502940150","https://openalex.org/W1514707655","https://openalex.org/W1535144194","https://openalex.org/W1604983895","https://openalex.org/W1888358353","https://openalex.org/W1965972569","https://openalex.org/W1968895412","https://openalex.org/W1978024959","https://openalex.org/W1995484833","https://openalex.org/W2002576896","https://openalex.org/W2047923585","https://openalex.org/W2051586153","https://openalex.org/W2054100908","https://openalex.org/W2102322109","https://openalex.org/W2107917944","https://openalex.org/W2110814195","https://openalex.org/W2114624964","https://openalex.org/W2116440993","https://openalex.org/W2122465391","https://openalex.org/W2122710250","https://openalex.org/W2123427850","https://openalex.org/W2124637492","https://openalex.org/W2125690626","https://openalex.org/W2141862445","https://openalex.org/W2144970024","https://openalex.org/W2146591355","https://openalex.org/W2148372359","https://openalex.org/W2149565746","https://openalex.org/W2151936673","https://openalex.org/W2152489475","https://openalex.org/W2153977620","https://openalex.org/W2165753192","https://openalex.org/W2169206507","https://openalex.org/W2964269525"],"related_works":["https://openalex.org/W4285069850","https://openalex.org/W2891970004","https://openalex.org/W4240963716","https://openalex.org/W1974634278","https://openalex.org/W3005672955","https://openalex.org/W2078777386","https://openalex.org/W3208472520","https://openalex.org/W2949291750","https://openalex.org/W3212813711","https://openalex.org/W4365802874"],"abstract_inverted_index":{"The":[0],"problem":[1],"of":[2,7,29,82,118],"finding":[3,41],"locally":[4],"dense":[5],"components":[6],"a":[8,68,77],"graph":[9],"is":[10,72],"an":[11],"important":[12],"primitive":[13],"in":[14,45,98,121],"data":[15],"analysis,":[16],"with":[17],"wide-ranging":[18],"applications":[19],"from":[20],"community":[21],"mining":[22],"to":[23,74],"spam":[24],"detection":[25],"and":[26,66,91,116],"the":[27,42,46,64,83,99,114],"discovery":[28],"biological":[30],"network":[31],"modules.":[32],"In":[33,102],"this":[34,94],"paper":[35],"we":[36,92,104],"present":[37],"new":[38],"algorithms":[39,55,86,120],"for":[40],"densest":[43],"subgraph":[44,69],"streaming":[47],"model.":[48,101],"For":[49],"any":[50],"\u03b5":[51],"&gt;":[52],"0,":[53],"our":[54,119],"make":[56],"O":[57],"(log":[58],"1+\u03b5":[59],"n":[60],")":[61],"passes":[62],"over":[63],"input":[65],"find":[67],"whose":[70],"density":[71],"guaranteed":[73],"be":[75],"within":[76],"factor":[78],"2(1":[79],"+":[80],"\u03b5)":[81],"optimum.":[84],"Our":[85],"are":[87],"also":[88],"easily":[89],"parallelizable":[90],"illustrate":[93],"by":[95],"realizing":[96],"them":[97],"MapReduce":[100],"addition":[103],"perform":[105],"extensive":[106],"experimental":[107],"evaluation":[108],"on":[109],"massive":[110],"real-world":[111],"graphs":[112],"showing":[113],"performance":[115],"scalability":[117],"practice.":[122]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":18},{"year":2021,"cited_by_count":18},{"year":2020,"cited_by_count":19},{"year":2019,"cited_by_count":19},{"year":2018,"cited_by_count":17},{"year":2017,"cited_by_count":19},{"year":2016,"cited_by_count":15},{"year":2015,"cited_by_count":28},{"year":2014,"cited_by_count":16},{"year":2013,"cited_by_count":15},{"year":2012,"cited_by_count":4}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
