{"id":"https://openalex.org/W4380433187","doi":"https://doi.org/10.1145/3588714","title":"I/O-Efficient Butterfly Counting at Scale","display_name":"I/O-Efficient Butterfly Counting at Scale","publication_year":2023,"publication_date":"2023-05-26","ids":{"openalex":"https://openalex.org/W4380433187","doi":"https://doi.org/10.1145/3588714"},"language":"en","primary_location":{"id":"doi:10.1145/3588714","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3588714","pdf_url":null,"source":{"id":"https://openalex.org/S4387289859","display_name":"Proceedings of the ACM on Management of Data","issn_l":"2836-6573","issn":["2836-6573"],"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 ACM on Management of Data","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/A5016922726","display_name":"Zhibin Wang","orcid":"https://orcid.org/0000-0001-9204-4075"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhibin Wang","raw_affiliation_strings":["Nanjing University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0001-9204-4075","affiliations":[{"raw_affiliation_string":"Nanjing University, Nanjing, China","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103178004","display_name":"Longbin Lai","orcid":"https://orcid.org/0009-0009-4735-3835"},"institutions":[{"id":"https://openalex.org/I45928872","display_name":"Alibaba Group (China)","ror":"https://ror.org/00k642b80","country_code":"CN","type":"company","lineage":["https://openalex.org/I45928872"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Longbin Lai","raw_affiliation_strings":["Alibaba Group, Hangzhou, China"],"raw_orcid":"https://orcid.org/0009-0009-4735-3835","affiliations":[{"raw_affiliation_string":"Alibaba Group, Hangzhou, China","institution_ids":["https://openalex.org/I45928872"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101622339","display_name":"Yixue Liu","orcid":"https://orcid.org/0009-0009-0388-5194"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yixue Liu","raw_affiliation_strings":["Nanjing University, Nanjing, China"],"raw_orcid":"https://orcid.org/0009-0009-0388-5194","affiliations":[{"raw_affiliation_string":"Nanjing University, Nanjing, China","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087020740","display_name":"Shui Bing","orcid":"https://orcid.org/0009-0001-8610-7946"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bing Shui","raw_affiliation_strings":["Nanjing University, Nanjing, China"],"raw_orcid":"https://orcid.org/0009-0001-8610-7946","affiliations":[{"raw_affiliation_string":"Nanjing University, Nanjing, China","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100751736","display_name":"Chen Tian","orcid":"https://orcid.org/0000-0003-2710-7628"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chen Tian","raw_affiliation_strings":["Nanjing University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0003-2710-7628","affiliations":[{"raw_affiliation_string":"Nanjing University, Nanjing, China","institution_ids":["https://openalex.org/I881766915"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060268538","display_name":"Sheng Zhong","orcid":"https://orcid.org/0000-0002-6581-8730"},"institutions":[{"id":"https://openalex.org/I881766915","display_name":"Nanjing University","ror":"https://ror.org/01rxvg760","country_code":"CN","type":"education","lineage":["https://openalex.org/I881766915"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sheng Zhong","raw_affiliation_strings":["Nanjing University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-6581-8730","affiliations":[{"raw_affiliation_string":"Nanjing University, Nanjing, China","institution_ids":["https://openalex.org/I881766915"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7086,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.82772065,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"1","issue":"1","first_page":"1","last_page":"27"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9988999962806702,"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":0.9988999962806702,"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/T12292","display_name":"Graph Theory and Algorithms","score":0.9976999759674072,"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"}},{"id":"https://openalex.org/T11478","display_name":"Caching and Content Delivery","score":0.9968000054359436,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.7118250727653503},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6696589589118958},{"id":"https://openalex.org/keywords/butterfly","display_name":"Butterfly","score":0.6317515969276428},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6006096005439758},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.598253071308136},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5012631416320801},{"id":"https://openalex.org/keywords/running-time","display_name":"Running time","score":0.46889013051986694},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4519883096218109},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40291351079940796},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.33685874938964844},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25189024209976196},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.07940801978111267}],"concepts":[{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.7118250727653503},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6696589589118958},{"id":"https://openalex.org/C2778605236","wikidata":"https://www.wikidata.org/wiki/Q1018085","display_name":"Butterfly","level":2,"score":0.6317515969276428},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6006096005439758},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.598253071308136},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5012631416320801},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.46889013051986694},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4519883096218109},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40291351079940796},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.33685874938964844},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25189024209976196},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.07940801978111267},{"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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3588714","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3588714","pdf_url":null,"source":{"id":"https://openalex.org/S4387289859","display_name":"Proceedings of the ACM on Management of Data","issn_l":"2836-6573","issn":["2836-6573"],"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 ACM on Management of Data","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2379088649","display_name":null,"funder_award_id":"62272215","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6416792519","display_name":null,"funder_award_id":"2020YFB1005900","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":57,"referenced_works":["https://openalex.org/W95608104","https://openalex.org/W131619556","https://openalex.org/W1965109038","https://openalex.org/W1974121232","https://openalex.org/W2000133061","https://openalex.org/W2002203222","https://openalex.org/W2011267080","https://openalex.org/W2045271686","https://openalex.org/W2053761479","https://openalex.org/W2055245094","https://openalex.org/W2055497547","https://openalex.org/W2068211976","https://openalex.org/W2080312846","https://openalex.org/W2100586946","https://openalex.org/W2101196063","https://openalex.org/W2115022330","https://openalex.org/W2133576408","https://openalex.org/W2145764405","https://openalex.org/W2258998514","https://openalex.org/W2423652555","https://openalex.org/W2497037546","https://openalex.org/W2518828413","https://openalex.org/W2543598748","https://openalex.org/W2614270461","https://openalex.org/W2788601541","https://openalex.org/W2790789009","https://openalex.org/W2902418993","https://openalex.org/W2902906695","https://openalex.org/W2906892655","https://openalex.org/W2946606012","https://openalex.org/W2948742909","https://openalex.org/W2963205199","https://openalex.org/W2963467900","https://openalex.org/W2965179470","https://openalex.org/W2965557726","https://openalex.org/W2983091007","https://openalex.org/W2990167451","https://openalex.org/W3004555699","https://openalex.org/W3037117430","https://openalex.org/W3046475493","https://openalex.org/W3084963370","https://openalex.org/W3102182639","https://openalex.org/W3133215150","https://openalex.org/W3133642374","https://openalex.org/W3137062906","https://openalex.org/W3137504194","https://openalex.org/W3139183783","https://openalex.org/W3171879699","https://openalex.org/W3201171444","https://openalex.org/W3208185614","https://openalex.org/W4206128702","https://openalex.org/W4210402762","https://openalex.org/W4240241667","https://openalex.org/W4295115623","https://openalex.org/W6606876336","https://openalex.org/W6677111876","https://openalex.org/W7134224534"],"related_works":["https://openalex.org/W2089134982","https://openalex.org/W4299305030","https://openalex.org/W2040347389","https://openalex.org/W2952081610","https://openalex.org/W1983383464","https://openalex.org/W4252842032","https://openalex.org/W3100139999","https://openalex.org/W2113270940","https://openalex.org/W2900627138","https://openalex.org/W3103742520"],"abstract_inverted_index":{"Butterfly":[0],"(a":[1],"cyclic":[2],"graph":[3,14,33,194],"motif)":[4],"counting":[5,44,65,190],"is":[6,36,104,112],"a":[7,25,89,96,109,121,126],"fundamental":[8],"task":[9],"with":[10,195],"many":[11],"applications":[12],"in":[13,24,80,169],"analysis,":[15],"which":[16],"aims":[17],"at":[18],"computing":[19],"the":[20,29,47,72,93,116,137,144,163,170,176,192],"number":[21],"of":[22,32,71,92,99,120,129,203],"butterflies":[23],"large":[26,52],"graph.":[27],"With":[28],"rapid":[30],"growth":[31],"data,":[34],"it":[35,85],"more":[37,39],"and":[38,51,124,148,165,180,199],"challenging":[40],"to":[41,46,82,87,142,157,160,187],"do":[42],"butterfly":[43,64,189],"due":[45],"super-linear":[48],"time":[49],"complexity":[50],"memory":[53],"consumption.":[54],"In":[55,182],"this":[56],"paper,":[57],"we":[58,154],"study":[59],"I/O-efficient":[60],"algorithms":[61,70,100,178],"for":[62],"doing":[63],"on":[66,191],"hierarchical":[67],"memory.":[68],"Existing":[69],"kind":[73],"cannot":[74],"guarantee":[75],"I/O":[76,145],"optimality.":[77,152],"Observing":[78],"that":[79,108,140,172],"order":[81],"count":[83],"butterflies,":[84],"suffices":[86],"\"witness\"":[88],"subgraph":[90],"instead":[91],"whole":[94],"structure,":[95],"new":[97,127],"class":[98],"called":[101],"semi-witnessing":[102,110],"algorithm":[103,111,139],"proposed.":[105],"We":[106,134,167],"prove":[107],"not":[113],"restricted":[114],"by":[115],"lower":[117,146],"bound":[118,128],"\u00d8mega(|E|2/MB)":[119],"witnessing":[122],"algorithm,":[123],"give":[125],"\u00d8mega(min(|E|2/MB,":[130],"|E|/|V|":[131],"\u221aM":[132],"B)).":[133],"further":[135,161],"develop":[136],"IOBufs":[138,159,173,184],"manages":[141],"approach":[143],"bound,":[147],"thus":[149],"claim":[150],"its":[151],"Finally,":[153],"make":[155],"efforts":[156],"parallelize":[158],"improve":[162],"performance":[164],"scalability.":[166],"show":[168],"experiment":[171],"significantly":[174],"outperforms":[175],"state-of-the-art":[177],"EMRC":[179],"BFC-EM.":[181],"addition,":[183],"can":[185],"scale":[186],"conducting":[188],"Clueweb":[193],"37":[196],"billion":[197],"edges":[198],"quintillions":[200],"(10^18":[201],")":[202],"butterflies.":[204]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
