{"id":"https://openalex.org/W2151095918","doi":"https://doi.org/10.1145/1963405.1963493","title":"HyperANF","display_name":"HyperANF","publication_year":2011,"publication_date":"2011-03-28","ids":{"openalex":"https://openalex.org/W2151095918","doi":"https://doi.org/10.1145/1963405.1963493","mag":"2151095918"},"language":"en","primary_location":{"id":"doi:10.1145/1963405.1963493","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1963405.1963493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 20th international conference on World wide web","raw_type":"proceedings-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/A5038842358","display_name":"Paolo Boldi","orcid":"https://orcid.org/0000-0002-8297-6255"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Paolo Boldi","raw_affiliation_strings":["Universit\u00e0 degli Studi di Milano, Milano, Italy"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Milano, Milano, Italy","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082183505","display_name":"Marco Rosa","orcid":null},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marco Rosa","raw_affiliation_strings":["Universit\u00e0 degli Studi di Milano, Milano, Italy"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Milano, Milano, Italy","institution_ids":["https://openalex.org/I189158943"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027824085","display_name":"Sebastiano Vigna","orcid":"https://orcid.org/0000-0002-3257-651X"},"institutions":[{"id":"https://openalex.org/I189158943","display_name":"University of Milan","ror":"https://ror.org/00wjc7c48","country_code":"IT","type":"education","lineage":["https://openalex.org/I189158943"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Sebastiano Vigna","raw_affiliation_strings":["Universit\u00e0 degli Studi di Milano, Milano, Italy"],"affiliations":[{"raw_affiliation_string":"Universit\u00e0 degli Studi di Milano, Milano, Italy","institution_ids":["https://openalex.org/I189158943"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5038842358"],"corresponding_institution_ids":["https://openalex.org/I189158943"],"apc_list":null,"apc_paid":null,"fwci":10.7164,"has_fulltext":false,"cited_by_count":123,"citation_normalized_percentile":{"value":0.98752886,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"625","last_page":"634"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12292","display_name":"Graph Theory and Algorithms","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12292","display_name":"Graph Theory and Algorithms","score":0.9998999834060669,"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/T11273","display_name":"Advanced Graph Neural Networks","score":0.9988999962806702,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/neighbourhood","display_name":"Neighbourhood (mathematics)","score":0.7240973711013794},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.7146680951118469},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6752543449401855},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4783420264720917},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4482545554637909},{"id":"https://openalex.org/keywords/exploit","display_name":"Exploit","score":0.4180603623390198},{"id":"https://openalex.org/keywords/dependency-graph","display_name":"Dependency graph","score":0.41669976711273193},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38999679684638977},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.37693554162979126},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32419905066490173},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25544029474258423}],"concepts":[{"id":"https://openalex.org/C161677786","wikidata":"https://www.wikidata.org/wiki/Q2478475","display_name":"Neighbourhood (mathematics)","level":2,"score":0.7240973711013794},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.7146680951118469},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6752543449401855},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4783420264720917},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4482545554637909},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.4180603623390198},{"id":"https://openalex.org/C16311509","wikidata":"https://www.wikidata.org/wiki/Q4148050","display_name":"Dependency graph","level":3,"score":0.41669976711273193},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38999679684638977},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.37693554162979126},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32419905066490173},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25544029474258423},{"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/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1963405.1963493","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1963405.1963493","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 20th international conference on World wide web","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.8199999928474426,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W3397180","https://openalex.org/W17958277","https://openalex.org/W1505878770","https://openalex.org/W1965996575","https://openalex.org/W1994727615","https://openalex.org/W1997817740","https://openalex.org/W2040615703","https://openalex.org/W2080745194","https://openalex.org/W2099480861","https://openalex.org/W2140030920","https://openalex.org/W2144982963","https://openalex.org/W2170616854","https://openalex.org/W2241988237","https://openalex.org/W2752853835"],"related_works":["https://openalex.org/W17155033","https://openalex.org/W3207760230","https://openalex.org/W1496222301","https://openalex.org/W1590307681","https://openalex.org/W2536018345","https://openalex.org/W4312814274","https://openalex.org/W4285370786","https://openalex.org/W2296488620","https://openalex.org/W2022962684","https://openalex.org/W1992578681"],"abstract_inverted_index":{"The":[0,34],"neighbourhood":[1,35,70,138],"function":[2,36,139],"NG(t)":[3,80],"of":[4,16,18,40,78,93,140,144],"a":[5,38,86,134,147,154],"graph":[6,44],"G":[7],"gives,":[8],"for":[9,126],"each":[10],"t":[11,32],"\u2208":[12],"N,":[13],"the":[14,43,65,76,102,127,137],"number":[15],"pairs":[17],"nodes":[19,145],"x,":[20],"y":[21,24],"such":[22],"that":[23,31],"is":[25,57],"reachable":[26],"from":[27],"x":[28],"in":[29,91,133],"less":[30],"hops.":[33],"provides":[37],"wealth":[39],"information":[41],"about":[42],"[10]":[45,68],"(e.g.,":[46],"it":[47,56,62],"easily":[48],"allows":[49],"one":[50],"to":[51,60,120],"compute":[52,61,132],"its":[53],"diameter),":[54],"but":[55],"very":[58],"expensive":[59],"exactly.":[63],"Recently,":[64],"ANF":[66,90],"algorithm":[67],"(approximate":[69],"function)":[71],"has":[72],"been":[73],"proposed":[74],"with":[75,142,146],"purpose":[77],"approximating":[79],"on":[81],"large":[82],"graphs.":[83],"We":[84],"describe":[85],"breakthrough":[87],"improvement":[88],"over":[89],"terms":[92],"speed":[94],"and":[95,107,150],"scalability.":[96],"Our":[97],"algorithm,":[98],"called":[99],"HyperANF,":[100,125],"uses":[101,117],"new":[103],"HyperLogLog":[104],"counters":[105],"[5]":[106],"combines":[108],"them":[109],"efficiently":[110],"through":[111],"broadword":[112],"programming":[113],"[8];":[114],"our":[115],"implementation":[116],"talk":[118],"decomposition":[119],"exploit":[121],"multi-core":[122],"parallelism.":[123],"With":[124],"first":[128],"time":[129],"we":[130],"can":[131],"few":[135],"hours":[136],"graphs":[141],"billions":[143],"small":[148],"error":[149],"good":[151],"confidence":[152],"using":[153],"standard":[155],"workstation.":[156]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":18},{"year":2015,"cited_by_count":19},{"year":2014,"cited_by_count":13},{"year":2013,"cited_by_count":15},{"year":2012,"cited_by_count":10}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2016-06-24T00:00:00"}