{"id":"https://openalex.org/W2029342163","doi":"https://doi.org/10.1137/0210049","title":"Parallel Matrix and Graph Algorithms","display_name":"Parallel Matrix and Graph Algorithms","publication_year":1981,"publication_date":"1981-11-01","ids":{"openalex":"https://openalex.org/W2029342163","doi":"https://doi.org/10.1137/0210049","mag":"2029342163"},"language":"en","primary_location":{"id":"doi:10.1137/0210049","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0210049","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/A5050148567","display_name":"Eliezer Dekel","orcid":"https://orcid.org/0000-0002-7265-2353"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Eliezer Dekel","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050824362","display_name":"David Nassimi","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"David Nassimi","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5070824596","display_name":"Sartaj Sahni","orcid":"https://orcid.org/0000-0002-8129-1676"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sartaj Sahni","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050148567"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":7.377,"has_fulltext":false,"cited_by_count":354,"citation_normalized_percentile":{"value":0.97250859,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"10","issue":"4","first_page":"657","last_page":"675"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9998000264167786,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.6850030422210693},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6285454630851746},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6099010705947876},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5731061697006226},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5225716829299927},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.46804189682006836},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.4639425277709961},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4413115680217743},{"id":"https://openalex.org/keywords/graph-theory","display_name":"Graph theory","score":0.4109000861644745},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39278644323349}],"concepts":[{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.6850030422210693},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6285454630851746},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6099010705947876},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5731061697006226},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5225716829299927},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.46804189682006836},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.4639425277709961},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4413115680217743},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.4109000861644745},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39278644323349},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/0210049","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0210049","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W395387967","https://openalex.org/W1969370624","https://openalex.org/W1972897119","https://openalex.org/W1976284552","https://openalex.org/W1976479454","https://openalex.org/W1982291599","https://openalex.org/W1991858502","https://openalex.org/W1995782589","https://openalex.org/W2005874499","https://openalex.org/W2011594737","https://openalex.org/W2014618792","https://openalex.org/W2046565312","https://openalex.org/W2047528205","https://openalex.org/W2055869266","https://openalex.org/W2064687921","https://openalex.org/W2066104460","https://openalex.org/W2081568423","https://openalex.org/W2081942300","https://openalex.org/W2121663287","https://openalex.org/W2130566259","https://openalex.org/W2152033109","https://openalex.org/W2159159598","https://openalex.org/W2593170163"],"related_works":["https://openalex.org/W3099313426","https://openalex.org/W4287593139","https://openalex.org/W752783541","https://openalex.org/W1506547947","https://openalex.org/W4206811032","https://openalex.org/W2995605830","https://openalex.org/W4239424132","https://openalex.org/W2086123442","https://openalex.org/W2596457687","https://openalex.org/W3212757063"],"abstract_inverted_index":{"Matrix":[0],"multiplication":[1,87],"algorithms":[2],"for":[3],"cube":[4],"connected":[5],"and":[6],"perfect":[7],"shuffle":[8],"computers":[9],"are":[10,45,57],"presented.":[11],"It":[12,73],"is":[13,74],"shown":[14,75],"that":[15,76],"in":[16,28,67],"both":[17],"these":[18],"models":[19],"two":[20,59],"$n":[21,60],"\\times":[22,61],"n$":[23,62],"matrices":[24,63],"can":[25,64,80],"be":[26,65,81],"multiplied":[27,66],"$O(n/m":[29],"+":[30,69],"\\log":[31],"m)$":[32],"time":[33],"when":[34],"$n^2":[35],"m$,":[36],"$1":[37,51],"\\leqq":[38,40,52,54],"m":[39,53],"n$,":[41,55],"processing":[42],"elements":[43],"(PEs)":[44],"available.":[46],"When":[47],"only":[48],"$m^2":[49],"$,":[50],"PEs":[56],"available,":[58],"$O(n^2/m":[68],"m(n/m)^{2.61}":[70],")$":[71],"time.":[72],"many":[77],"graph":[78],"problems":[79],"solved":[82],"efficiently":[83],"using":[84],"the":[85],"matrix":[86],"algorithms.":[88]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":7},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}