{"id":"https://openalex.org/W2153689358","doi":"https://doi.org/10.1137/0216002","title":"Sublinear Parallel Algorithm for Computing the Greatest Common Divisor of Two Integers","display_name":"Sublinear Parallel Algorithm for Computing the Greatest Common Divisor of Two Integers","publication_year":1987,"publication_date":"1987-02-01","ids":{"openalex":"https://openalex.org/W2153689358","doi":"https://doi.org/10.1137/0216002","mag":"2153689358"},"language":"en","primary_location":{"id":"doi:10.1137/0216002","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0216002","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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/A5111706327","display_name":"Ravindran Kannan","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ravindran Kannan","raw_affiliation_strings":["Carnegie Mellon University, Pittsburgh, PA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Pittsburgh, PA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010457003","display_name":"Gary L. Miller","orcid":"https://orcid.org/0000-0001-5456-8097"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gary Miller","raw_affiliation_strings":["University of Southern California  Los Angeles"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Southern California  Los Angeles","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112072124","display_name":"Larry Rudolph","orcid":null},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Larry Rudolph","raw_affiliation_strings":["Hebrew University,    Jerusalem, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hebrew University,    Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":5.5994,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.96203639,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"16","issue":"1","first_page":"7","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10237","display_name":"Cryptography and Data Security","score":0.9973000288009644,"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/T11130","display_name":"Coding theory and cryptography","score":0.9973000288009644,"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/sublinear-function","display_name":"Sublinear function","score":0.8655294179916382},{"id":"https://openalex.org/keywords/greatest-common-divisor","display_name":"Greatest common divisor","score":0.7880122661590576},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.529591977596283},{"id":"https://openalex.org/keywords/divisor","display_name":"Divisor (algebraic geometry)","score":0.5012187957763672},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4976196587085724},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46765297651290894},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.4617147445678711},{"id":"https://openalex.org/keywords/parallel-algorithm","display_name":"Parallel algorithm","score":0.4466269314289093},{"id":"https://openalex.org/keywords/running-time","display_name":"Running time","score":0.44549041986465454},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4016699492931366}],"concepts":[{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.8655294179916382},{"id":"https://openalex.org/C125257309","wikidata":"https://www.wikidata.org/wiki/Q131752","display_name":"Greatest common divisor","level":2,"score":0.7880122661590576},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.529591977596283},{"id":"https://openalex.org/C203492994","wikidata":"https://www.wikidata.org/wiki/Q909669","display_name":"Divisor (algebraic geometry)","level":2,"score":0.5012187957763672},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4976196587085724},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46765297651290894},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.4617147445678711},{"id":"https://openalex.org/C120373497","wikidata":"https://www.wikidata.org/wiki/Q1087987","display_name":"Parallel algorithm","level":2,"score":0.4466269314289093},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.44549041986465454},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4016699492931366}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0216002","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0216002","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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":5,"referenced_works":["https://openalex.org/W1558316751","https://openalex.org/W1583935850","https://openalex.org/W2069883996","https://openalex.org/W2143462372","https://openalex.org/W4231938090"],"related_works":["https://openalex.org/W2038038783","https://openalex.org/W2076499982","https://openalex.org/W2084989833","https://openalex.org/W2359386390","https://openalex.org/W3022682740","https://openalex.org/W2532954835","https://openalex.org/W4297463822","https://openalex.org/W2772781679","https://openalex.org/W2169168615","https://openalex.org/W3037097738"],"abstract_inverted_index":{"The":[0],"paper":[1],"presents":[2],"a":[3],"sublinear":[4],"time":[5,19],"parallel":[6],"algorithm":[7],"for":[8],"computing":[9],"the":[10,33],"greatest":[11],"common":[12],"divisor":[13],"of":[14],"two":[15,21],"integers.":[16],"Its":[17],"running":[18],"on":[20],"n":[22],"bit":[23],"integers":[24],"is":[25],"$O({{n\\log":[26],"\\log":[27],"n}":[28],"/":[29],"{\\log":[30],"n}})$":[31],"using":[32],"weak":[34],"concurrent":[35,37],"read":[36],"write":[38],"model.":[39]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
