{"id":"https://openalex.org/W2130305366","doi":"https://doi.org/10.14778/2535570.2488334","title":"Upper and lower bounds on the cost of a map-reduce computation","display_name":"Upper and lower bounds on the cost of a map-reduce computation","publication_year":2013,"publication_date":"2013-02-01","ids":{"openalex":"https://openalex.org/W2130305366","doi":"https://doi.org/10.14778/2535570.2488334","mag":"2130305366"},"language":"en","primary_location":{"id":"doi:10.14778/2535570.2488334","is_oa":false,"landing_page_url":"https://doi.org/10.14778/2535570.2488334","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/A5114259175","display_name":"Anish Das Sarma","orcid":null},"institutions":[{"id":"https://openalex.org/I1291425158","display_name":"Google (United States)","ror":"https://ror.org/00njsd438","country_code":"US","type":"company","lineage":["https://openalex.org/I1291425158","https://openalex.org/I4210128969"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Anish Das Sarma","raw_affiliation_strings":["Google Research","[Google Research]"],"affiliations":[{"raw_affiliation_string":"Google Research","institution_ids":["https://openalex.org/I1291425158"]},{"raw_affiliation_string":"[Google Research]","institution_ids":["https://openalex.org/I1291425158"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088568415","display_name":"Foto Afrati","orcid":null},"institutions":[{"id":"https://openalex.org/I174458059","display_name":"National Technical University of Athens","ror":"https://ror.org/03cx6bg69","country_code":"GR","type":"education","lineage":["https://openalex.org/I174458059"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Foto N. Afrati","raw_affiliation_strings":["National Technical University of Athens","National Technical University Of Athens"],"affiliations":[{"raw_affiliation_string":"National Technical University of Athens","institution_ids":["https://openalex.org/I174458059"]},{"raw_affiliation_string":"National Technical University Of Athens","institution_ids":["https://openalex.org/I174458059"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023876520","display_name":"Semih Saliho\u011flu","orcid":"https://orcid.org/0000-0002-8112-4501"},"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":false,"raw_author_name":"Semih Salihoglu","raw_affiliation_strings":["Stanford University"],"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089065417","display_name":"Jeffrey D. Ullman","orcid":"https://orcid.org/0000-0002-1847-3426"},"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":false,"raw_author_name":"Jeffrey D. Ullman","raw_affiliation_strings":["Stanford University"],"affiliations":[{"raw_affiliation_string":"Stanford University","institution_ids":["https://openalex.org/I97018004"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5114259175"],"corresponding_institution_ids":["https://openalex.org/I1291425158"],"apc_list":null,"apc_paid":null,"fwci":27.0243,"has_fulltext":false,"cited_by_count":135,"citation_normalized_percentile":{"value":0.9980394,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"6","issue":"4","first_page":"277","last_page":"288"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6926620602607727},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.6767600774765015},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.601983904838562},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.5518633723258972},{"id":"https://openalex.org/keywords/transpose","display_name":"Transpose","score":0.5459519624710083},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.5026569366455078},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4723278880119324},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.466336727142334},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4423214793205261},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3896050453186035},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.33474767208099365},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33077725768089294},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3215617537498474},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.10573345422744751}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6926620602607727},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.6767600774765015},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.601983904838562},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5518633723258972},{"id":"https://openalex.org/C200106649","wikidata":"https://www.wikidata.org/wiki/Q223683","display_name":"Transpose","level":3,"score":0.5459519624710083},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.5026569366455078},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4723278880119324},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.466336727142334},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4423214793205261},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3896050453186035},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.33474767208099365},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33077725768089294},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3215617537498474},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.10573345422744751},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.14778/2535570.2488334","is_oa":false,"landing_page_url":"https://doi.org/10.14778/2535570.2488334","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.758.9519","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.758.9519","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/1206.4377.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W135267584","https://openalex.org/W1508957747","https://openalex.org/W1511368807","https://openalex.org/W1598064945","https://openalex.org/W1736726159","https://openalex.org/W2004711550","https://openalex.org/W2006176740","https://openalex.org/W2026705124","https://openalex.org/W2051586153","https://openalex.org/W2057256946","https://openalex.org/W2061601738","https://openalex.org/W2075723156","https://openalex.org/W2099636580","https://openalex.org/W2102458936","https://openalex.org/W2110814195","https://openalex.org/W2122465391","https://openalex.org/W2140509629","https://openalex.org/W2145812340","https://openalex.org/W2146492010","https://openalex.org/W2151930506","https://openalex.org/W2163087774","https://openalex.org/W2169387919","https://openalex.org/W2400796894","https://openalex.org/W2563234317","https://openalex.org/W2588458088","https://openalex.org/W2751862591","https://openalex.org/W2949398878","https://openalex.org/W2949663338","https://openalex.org/W2952861917","https://openalex.org/W3101158212","https://openalex.org/W4229641819","https://openalex.org/W4301441647","https://openalex.org/W6605500462","https://openalex.org/W6637359826","https://openalex.org/W6663617415","https://openalex.org/W6665642313","https://openalex.org/W6674669695","https://openalex.org/W6676644381","https://openalex.org/W6681523449","https://openalex.org/W6683791690","https://openalex.org/W6684488758"],"related_works":["https://openalex.org/W3099313426","https://openalex.org/W4287593139","https://openalex.org/W1506547947","https://openalex.org/W2086146848","https://openalex.org/W4206811032","https://openalex.org/W2995605830","https://openalex.org/W4239424132","https://openalex.org/W2596457687","https://openalex.org/W3212757063","https://openalex.org/W2086123442"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,26,136,151,172],"study":[4],"the":[5,24,28,31,40,44,85,99,103,159,167,209],"tradeoff":[6,104],"between":[7,47],"parallelism":[8,36],"and":[9,49,119,126,139,147,154,176,195,213],"communication":[10,46,79],"cost":[11,80],"in":[12,61,122],"a":[13,53,62,71,82,123,163,204],"map-reduce":[14,66,181,190],"computation.":[15,67],"For":[16,129,145,166],"any":[17],"problem":[18,168],"that":[19,34,57,90,142,157,197],"is":[20],"not":[21],"\"embarrassingly":[22],"parallel,\"":[23],"finer":[25],"partition":[27],"work":[29],"of":[30,55,65,84,88,110,132,169],"reducers":[32],"so":[33],"more":[35,201],"can":[37,58,91],"be":[38,43,59,92],"extracted,":[39],"greater":[41],"will":[42],"total":[45],"mappers":[48],"reducers.":[50],"We":[51,97,183],"introduce":[52],"model":[54,69,100],"problems":[56],"solved":[60],"single":[63],"round":[64],"This":[68],"enables":[70],"generic":[72],"recipe":[73],"for":[74,105,179,192,203],"discovering":[75],"lower":[76,140,155,177],"bounds":[77,141,156,178],"on":[78],"as":[81],"function":[83],"maximum":[86],"number":[87],"inputs":[89],"assigned":[93],"to":[94,101,161,187],"one":[95],"reducer.":[96],"use":[98],"analyze":[102],"three":[106],"problems:":[107],"finding":[108,117,130],"pairs":[109],"strings":[111,131],"at":[112],"Hamming":[113,133],"distance":[114,134],"d":[115],",":[116],"triangles":[118,146],"other":[120,149],"patterns":[121],"larger":[124],"graph,":[125],"matrix":[127,170,193],"multiplication.":[128],"1,":[135],"have":[137,152,173,200,215],"upper":[138,153,175],"match":[143],"exactly.":[144],"many":[148],"graphs,":[150],"are":[158,184],"same":[160],"within":[162],"constant":[164],"factor.":[165],"multiplication,":[171],"matching":[174],"one-round":[180,211],"algorithms.":[182],"also":[185],"able":[186],"explore":[188],"two-round":[189],"algorithms":[191],"multiplication":[194],"show":[196],"these":[198],"never":[199],"communication,":[202],"given":[205],"reducer":[206],"size,":[207],"than":[208],"best":[210],"algorithm,":[212],"often":[214],"significantly":[216],"less.":[217]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":22},{"year":2016,"cited_by_count":31},{"year":2015,"cited_by_count":18},{"year":2014,"cited_by_count":16},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
