{"id":"https://openalex.org/W1964887692","doi":"https://doi.org/10.1142/s0129626412500119","title":"COMMUNICATION BALANCING IN THE PARALLEL G\u00d6TTFERT ALGORITHM","display_name":"COMMUNICATION BALANCING IN THE PARALLEL G\u00d6TTFERT ALGORITHM","publication_year":2012,"publication_date":"2012-12-01","ids":{"openalex":"https://openalex.org/W1964887692","doi":"https://doi.org/10.1142/s0129626412500119","mag":"1964887692"},"language":"en","primary_location":{"id":"doi:10.1142/s0129626412500119","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129626412500119","pdf_url":null,"source":{"id":"https://openalex.org/S18360026","display_name":"Parallel Processing Letters","issn_l":"0129-6264","issn":["0129-6264","1793-642X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Processing Letters","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/A5102948039","display_name":"Fatima K. Abu Salem","orcid":"https://orcid.org/0000-0003-2098-824X"},"institutions":[{"id":"https://openalex.org/I98635879","display_name":"American University of Beirut","ror":"https://ror.org/04pznsd21","country_code":"LB","type":"education","lineage":["https://openalex.org/I98635879"]}],"countries":["LB"],"is_corresponding":false,"raw_author_name":"FATIMA K. ABU SALEM","raw_affiliation_strings":["Computer Science Department, American University of Beirut, P.O. Box 11-0236, Riad El Solh Beirut 1107 2020, Lebanon","Computer Science Department, American University of Beirut, P.O. Box 11-0236, Riad El Solh, Beirut 1107 2020, Lebanon#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, American University of Beirut, P.O. Box 11-0236, Riad El Solh Beirut 1107 2020, Lebanon","institution_ids":["https://openalex.org/I98635879"]},{"raw_affiliation_string":"Computer Science Department, American University of Beirut, P.O. Box 11-0236, Riad El Solh, Beirut 1107 2020, Lebanon#TAB#","institution_ids":["https://openalex.org/I98635879"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018664243","display_name":"LAMA B. TAMIM","orcid":null},"institutions":[{"id":"https://openalex.org/I98635879","display_name":"American University of Beirut","ror":"https://ror.org/04pznsd21","country_code":"LB","type":"education","lineage":["https://openalex.org/I98635879"]}],"countries":["LB"],"is_corresponding":false,"raw_author_name":"LAMA B. TAMIM","raw_affiliation_strings":["Computer Science Department, American University of Beirut, P.O. Box 11-0236, Riad El Solh Beirut 1107 2020, Lebanon","Computer Science Department, American University of Beirut, P.O. Box 11-0236, Riad El Solh, Beirut 1107 2020, Lebanon#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Department, American University of Beirut, P.O. Box 11-0236, Riad El Solh Beirut 1107 2020, Lebanon","institution_ids":["https://openalex.org/I98635879"]},{"raw_affiliation_string":"Computer Science Department, American University of Beirut, P.O. Box 11-0236, Riad El Solh, Beirut 1107 2020, Lebanon#TAB#","institution_ids":["https://openalex.org/I98635879"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I98635879"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06177442,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"22","issue":"04","first_page":"1250011","last_page":"1250011"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9994999766349792,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9994999766349792,"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/T10142","display_name":"Formal Methods in Verification","score":0.9966999888420105,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9954000115394592,"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/computer-science","display_name":"Computer science","score":0.7375210523605347},{"id":"https://openalex.org/keywords/factoring","display_name":"Factoring","score":0.6732935905456543},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.562204897403717},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5584549307823181},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.545142650604248},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5178294777870178},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5126551985740662},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.504604697227478},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.4857180714607239},{"id":"https://openalex.org/keywords/load-balancing","display_name":"Load balancing (electrical power)","score":0.4671119451522827},{"id":"https://openalex.org/keywords/ranging","display_name":"Ranging","score":0.4419366717338562},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4313654601573944},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21236708760261536},{"id":"https://openalex.org/keywords/multivariate-statistics","display_name":"Multivariate statistics","score":0.11122450232505798},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09340733289718628}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7375210523605347},{"id":"https://openalex.org/C177225278","wikidata":"https://www.wikidata.org/wiki/Q192674","display_name":"Factoring","level":2,"score":0.6732935905456543},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.562204897403717},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5584549307823181},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.545142650604248},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5178294777870178},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5126551985740662},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.504604697227478},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.4857180714607239},{"id":"https://openalex.org/C138959212","wikidata":"https://www.wikidata.org/wiki/Q1806783","display_name":"Load balancing (electrical power)","level":3,"score":0.4671119451522827},{"id":"https://openalex.org/C115051666","wikidata":"https://www.wikidata.org/wiki/Q6522493","display_name":"Ranging","level":2,"score":0.4419366717338562},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4313654601573944},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21236708760261536},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.11122450232505798},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09340733289718628},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129626412500119","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129626412500119","pdf_url":null,"source":{"id":"https://openalex.org/S18360026","display_name":"Parallel Processing Letters","issn_l":"0129-6264","issn":["0129-6264","1793-642X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Parallel Processing Letters","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309999","display_name":"American University of Beirut","ror":"https://ror.org/04pznsd21"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1989085065","https://openalex.org/W2079508303","https://openalex.org/W2163694169"],"related_works":["https://openalex.org/W2377710379","https://openalex.org/W2947911821","https://openalex.org/W4384112194","https://openalex.org/W2393473966","https://openalex.org/W2783354812","https://openalex.org/W2260256814","https://openalex.org/W2944757884","https://openalex.org/W2997214518","https://openalex.org/W2963853167","https://openalex.org/W2103009189"],"abstract_inverted_index":{"Parallel":[0],"implementations":[1],"in":[2,112,115,126],"computer":[3],"algebra":[4],"often":[5],"require":[6],"careful":[7],"designs":[8],"tailored":[9],"towards":[10],"irregular":[11],"data":[12],"structures":[13],"and":[14],"patterns":[15,35],"of":[16,31,64,71,84,102,117],"computation":[17],"that":[18,55],"are":[19],"largely":[20],"unpredictable.":[21],"In":[22],"this":[23,56],"context,":[24],"we":[25],"re-visit":[26],"the":[27,42,62,69,77,118],"BSP":[28,78],"G\u00f6ttfert":[29],"algorithm":[30],"[1]":[32],"whose":[33],"communication":[34,50,109],"suffer":[36],"from":[37,95],"greatly":[38],"varying":[39],"degrees":[40,93,129],"within":[41,76],"intermediary":[43,127],"univariate":[44],"polynomial":[45,128],"outputs,":[46],"leading":[47],"to":[48,97,106],"unpredictable":[49],"load":[51],"imbalance.":[52],"We":[53,67,80],"show":[54],"problem":[57],"can":[58],"be":[59],"rectified":[60],"through":[61],"use":[63],"two-phase":[65],"broadcast.":[66],"demonstrate":[68],"effects":[70],"our":[72],"improvement":[73,114],"using":[74],"analysis":[75],"model.":[79],"conduct":[81],"a":[82,100],"series":[83],"experimental":[85],"comparative":[86],"runs":[87],"for":[88],"factoring":[89],"input":[90],"polynomials":[91],"with":[92],"ranging":[94],"8000":[96],"400000,":[98],"over":[99],"number":[101],"processors":[103],"reaching":[104],"up":[105],"16.":[107],"Our":[108],"balancing":[110],"results":[111],"an":[113],"most":[116],"test":[119],"cases,":[120],"more":[121],"so":[122],"whenever":[123],"stark":[124],"deviation":[125],"is":[130],"observed.":[131]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}