{"id":"https://openalex.org/W2612923917","doi":"https://doi.org/10.1145/3034786.3056115","title":"2-3 Cuckoo Filters for Faster Triangle Listing and Set Intersection","display_name":"2-3 Cuckoo Filters for Faster Triangle Listing and Set Intersection","publication_year":2017,"publication_date":"2017-05-09","ids":{"openalex":"https://openalex.org/W2612923917","doi":"https://doi.org/10.1145/3034786.3056115","mag":"2612923917"},"language":"en","primary_location":{"id":"doi:10.1145/3034786.3056115","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3034786.3056115","pdf_url":"http://dl.acm.org/ft_gateway.cfm?id=3056115&type=pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 36th ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"http://dl.acm.org/ft_gateway.cfm?id=3056115&type=pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108527295","display_name":"David Eppstein","orcid":null},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"David Eppstein","raw_affiliation_strings":["Univ. of California, Irvine, Irvine, CA, USA"],"affiliations":[{"raw_affiliation_string":"Univ. of California, Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034971300","display_name":"Michael T. Goodrich","orcid":"https://orcid.org/0000-0002-8943-191X"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael T. Goodrich","raw_affiliation_strings":["Univ. of California, Irvine, Irvine, CA, USA"],"affiliations":[{"raw_affiliation_string":"Univ. of California, Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062318856","display_name":"Michael Mitzenmacher","orcid":"https://orcid.org/0000-0001-5430-5457"},"institutions":[{"id":"https://openalex.org/I2801851002","display_name":"Harvard University Press","ror":"https://ror.org/006v7bf86","country_code":"US","type":"other","lineage":["https://openalex.org/I136199984","https://openalex.org/I2801851002"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Mitzenmacher","raw_affiliation_strings":["Harvard Univ., Cambridge, MA, USA"],"affiliations":[{"raw_affiliation_string":"Harvard Univ., Cambridge, MA, USA","institution_ids":["https://openalex.org/I2801851002"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102750475","display_name":"Manuel R. Torres","orcid":"https://orcid.org/0000-0002-0919-4062"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Manuel R. Torres","raw_affiliation_strings":["Univ. of California, Irvine, Irvine, CA, USA"],"affiliations":[{"raw_affiliation_string":"Univ. of California, Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5108527295"],"corresponding_institution_ids":["https://openalex.org/I204250578"],"apc_list":null,"apc_paid":null,"fwci":2.4943,"has_fulltext":true,"cited_by_count":22,"citation_normalized_percentile":{"value":0.91587899,"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":"247","last_page":"260"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9997000098228455,"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"}},{"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/T12326","display_name":"Network Packet Processing and Optimization","score":0.9939000010490417,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.7303853034973145},{"id":"https://openalex.org/keywords/sort","display_name":"sort","score":0.6129885911941528},{"id":"https://openalex.org/keywords/bloom-filter","display_name":"Bloom filter","score":0.6108246445655823},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5844520926475525},{"id":"https://openalex.org/keywords/hash-function","display_name":"Hash function","score":0.5783520936965942},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5607088804244995},{"id":"https://openalex.org/keywords/hash-table","display_name":"Hash table","score":0.5485906004905701},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.5083114504814148},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4924076795578003},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4899875223636627},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43830594420433044},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3875117301940918},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3777294158935547},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3711526691913605},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.06668281555175781}],"concepts":[{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.7303853034973145},{"id":"https://openalex.org/C88548561","wikidata":"https://www.wikidata.org/wiki/Q347599","display_name":"sort","level":2,"score":0.6129885911941528},{"id":"https://openalex.org/C147224247","wikidata":"https://www.wikidata.org/wiki/Q885373","display_name":"Bloom filter","level":2,"score":0.6108246445655823},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5844520926475525},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.5783520936965942},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5607088804244995},{"id":"https://openalex.org/C67388219","wikidata":"https://www.wikidata.org/wiki/Q207440","display_name":"Hash table","level":3,"score":0.5485906004905701},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.5083114504814148},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4924076795578003},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4899875223636627},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43830594420433044},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3875117301940918},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3777294158935547},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3711526691913605},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.06668281555175781},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3034786.3056115","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3034786.3056115","pdf_url":"http://dl.acm.org/ft_gateway.cfm?id=3056115&type=pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 36th ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems","raw_type":"proceedings-article"}],"best_oa_location":{"id":"doi:10.1145/3034786.3056115","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3034786.3056115","pdf_url":"http://dl.acm.org/ft_gateway.cfm?id=3056115&type=pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 36th ACM SIGMOD-SIGACT-SIGAI Symposium on Principles of Database Systems","raw_type":"proceedings-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1023616090","display_name":null,"funder_award_id":"CCF-1563710","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1717228467","display_name":null,"funder_award_id":"CCF-1618301","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2115998816","display_name":null,"funder_award_id":"FA8750-15-2-0092","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G2591833288","display_name":null,"funder_award_id":"1526631","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3836387999","display_name":null,"funder_award_id":"CCF-1616248","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4713059963","display_name":null,"funder_award_id":"FA8750","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G4935209912","display_name":null,"funder_award_id":"AFRL FA8750-15-2-0092","funder_id":"https://openalex.org/F4320332180","funder_display_name":"Defense Advanced Research Projects Agency"},{"id":"https://openalex.org/G6050657354","display_name":null,"funder_award_id":"CNS-1228598","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6133564518","display_name":null,"funder_award_id":"CCF-1535795","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6191857744","display_name":"AF:SMALL:Sparse Geometric Graph Algorithms","funder_award_id":"1616248","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6289631934","display_name":"AF: Small: Data Synchronization : Theory, Algorithms, and Practice","funder_award_id":"1320231","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6647242665","display_name":"TWC: Medium: Collaborative: Privacy-Preserving Distributed Storage and Computation","funder_award_id":"1228598","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6937591683","display_name":null,"funder_award_id":"CCF-1228639","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G721744023","display_name":"AF: Small: Collaborative Research: Efficient Algorithms for Cycles on Surfaces","funder_award_id":"1618301","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8485636215","display_name":null,"funder_award_id":"CCF-1228639, CCF-1526631, CCF-1618301, CCF-1616248, CNS-1228598, CCF-1320231, CCF-1535795, and CCF-1563710.","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8648019094","display_name":"AitF: FULL: Collaborative Research: Better Hashing for Applications:  From Nuts & Bolts to Asymptotics","funder_award_id":"1535795","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/F4320306078","display_name":"U.S. Department of Defense","ror":"https://ror.org/0447fe631"},{"id":"https://openalex.org/F4320332180","display_name":"Defense Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"},{"id":"https://openalex.org/F4320338294","display_name":"Air Force Research Laboratory","ror":"https://ror.org/02e2egq70"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2612923917.pdf","grobid_xml":"https://content.openalex.org/works/W2612923917.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W155995321","https://openalex.org/W808058772","https://openalex.org/W1027972153","https://openalex.org/W1485742133","https://openalex.org/W1530753374","https://openalex.org/W1574727208","https://openalex.org/W1595409123","https://openalex.org/W1600727346","https://openalex.org/W1667815028","https://openalex.org/W1678178911","https://openalex.org/W1704895987","https://openalex.org/W1965633932","https://openalex.org/W1967373117","https://openalex.org/W1974121232","https://openalex.org/W1993284846","https://openalex.org/W2002203222","https://openalex.org/W2004336221","https://openalex.org/W2009283111","https://openalex.org/W2018338704","https://openalex.org/W2022704179","https://openalex.org/W2037633400","https://openalex.org/W2038142281","https://openalex.org/W2041550253","https://openalex.org/W2042661579","https://openalex.org/W2043020364","https://openalex.org/W2053298175","https://openalex.org/W2054711061","https://openalex.org/W2055245094","https://openalex.org/W2055343324","https://openalex.org/W2072336782","https://openalex.org/W2074286662","https://openalex.org/W2079136953","https://openalex.org/W2080312846","https://openalex.org/W2093252122","https://openalex.org/W2094224753","https://openalex.org/W2108614537","https://openalex.org/W2110953678","https://openalex.org/W2115022330","https://openalex.org/W2115297415","https://openalex.org/W2117702591","https://openalex.org/W2140477915","https://openalex.org/W2146591355","https://openalex.org/W2149356828","https://openalex.org/W2317565191","https://openalex.org/W2407340388","https://openalex.org/W2912437396","https://openalex.org/W2912601938","https://openalex.org/W2949423844","https://openalex.org/W3098475836","https://openalex.org/W4214508572","https://openalex.org/W4292081093","https://openalex.org/W6606406289","https://openalex.org/W6631977211","https://openalex.org/W6703186040"],"related_works":["https://openalex.org/W2227807207","https://openalex.org/W2370014100","https://openalex.org/W4287264924","https://openalex.org/W3137108924","https://openalex.org/W1852009617","https://openalex.org/W2042819006","https://openalex.org/W2170165007","https://openalex.org/W1979110442","https://openalex.org/W2156660460","https://openalex.org/W2362866566"],"abstract_inverted_index":{"We":[0,68],"introduce":[1],"new":[2],"dynamic":[3],"set":[4,86],"intersection":[5,54,87],"data":[6],"structures,":[7],"which":[8],"we":[9],"call":[10],"2-3":[11],"cuckoo":[12,23,27],"filters":[13,28],"and":[14,26,84,101,136],"hash":[15,24],"tables.":[16],"These":[17],"structures":[18,57,74],"differ":[19],"from":[20],"the":[21,70,122,128,139],"standard":[22],"tables":[25],"in":[29,52,65,78,89,110,132],"that":[30,49],"they":[31],"choose":[32],"two":[33,56],"out":[34,45],"of":[35,43,46,55,72,98,124,130,141,160],"three":[36],"locations":[37],"to":[38],"store":[39],"each":[40],"item,":[41],"instead":[42],"one":[44,62],"two,":[47],"ensuring":[48],"any":[50],"item":[51],"an":[53],"will":[58],"have":[59],"at":[60],"least":[61],"common":[63],"location":[64],"both":[66],"structures.":[67],"demonstrate":[69],"utility":[71],"these":[73],"by":[75],"using":[76],"them":[77],"improved":[79],"algorithms":[80],"for":[81],"listing":[82,107],"triangles":[83],"answering":[85],"queries":[88],"internal":[90],"or":[91],"external":[92],"memory.":[93],"For":[94],"a":[95,133],"graph":[96],"G":[97],"n":[99],"vertices":[100],"m":[102],"edges,":[103],"our":[104],"internal-memory":[105],"triangle":[106],"algorithm":[108,146],"runs":[109],"O(m":[111],"((G)":[112,152],"log":[113,153],"w)/w":[114,154],"+":[115,150,156],"k)":[116],"expected":[117,158],"time,":[118],"where":[119],"(G)":[120],"is":[121,127,138],"arboricity":[123],"G,":[125],"w":[126],"number":[129,140,159],"bits":[131],"machine":[134],"word,":[135],"k":[137],"output":[142],"triangles.":[143],"Our":[144],"external-memory":[145],"uses":[147],"O(sort(n":[148],"(G))":[149],"sort(m":[151],")":[155],"sort(k))":[157],"I/Os.":[161]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}