{"id":"https://openalex.org/W1970283668","doi":"https://doi.org/10.1137/s0097539793256879","title":"Complexity of Sub-Bus Mesh Computations","display_name":"Complexity of Sub-Bus Mesh Computations","publication_year":1996,"publication_date":"1996-06-01","ids":{"openalex":"https://openalex.org/W1970283668","doi":"https://doi.org/10.1137/s0097539793256879","mag":"1970283668"},"language":"en","primary_location":{"id":"doi:10.1137/s0097539793256879","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539793256879","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/A5015034623","display_name":"Anne Condon","orcid":"https://orcid.org/0000-0003-1458-1259"},"institutions":[{"id":"https://openalex.org/I135310074","display_name":"University of Wisconsin\u2013Madison","ror":"https://ror.org/01y2jtd41","country_code":"US","type":"education","lineage":["https://openalex.org/I135310074"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Anne Condon","raw_affiliation_strings":["University of Wisconsin \u2013,"],"affiliations":[{"raw_affiliation_string":"University of Wisconsin \u2013,","institution_ids":["https://openalex.org/I135310074"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043369298","display_name":"Richard E. Ladner","orcid":"https://orcid.org/0000-0001-9413-6774"},"institutions":[{"id":"https://openalex.org/I41156924","display_name":"Victoria University of Wellington","ror":"https://ror.org/0040r6f76","country_code":"NZ","type":"education","lineage":["https://openalex.org/I41156924"]}],"countries":["NZ"],"is_corresponding":false,"raw_author_name":"Richard Ladner","raw_affiliation_strings":["(Victoria University of Wellington)"],"affiliations":[{"raw_affiliation_string":"(Victoria University of Wellington)","institution_ids":["https://openalex.org/I41156924"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082152161","display_name":"Jordan Lampe","orcid":null},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jordan Lampe","raw_affiliation_strings":["University of Washington"],"affiliations":[{"raw_affiliation_string":"University of Washington","institution_ids":["https://openalex.org/I201448701"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101695879","display_name":"Rakesh Sinha","orcid":"https://orcid.org/0000-0003-0592-8505"},"institutions":[{"id":"https://openalex.org/I19700959","display_name":"Florida International University","ror":"https://ror.org/02gz6gg07","country_code":"US","type":"education","lineage":["https://openalex.org/I19700959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Rakesh Sinha","raw_affiliation_strings":["FLORIDA INTERNATIONAL UNIVERSITY"],"affiliations":[{"raw_affiliation_string":"FLORIDA INTERNATIONAL UNIVERSITY","institution_ids":["https://openalex.org/I19700959"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5015034623"],"corresponding_institution_ids":["https://openalex.org/I135310074"],"apc_list":null,"apc_paid":null,"fwci":1.1003,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.80016891,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"3","first_page":"520","last_page":"539"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9987000226974487,"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"}},"topics":[{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9987000226974487,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9983999729156494,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9983999729156494,"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/binary-logarithm","display_name":"Binary logarithm","score":0.7062304019927979},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6891201138496399},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6208932399749756},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.543607234954834},{"id":"https://openalex.org/keywords/log-log-plot","display_name":"Log-log plot","score":0.5371720194816589},{"id":"https://openalex.org/keywords/parity","display_name":"Parity (physics)","score":0.5351212024688721},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5350896716117859},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.49669963121414185},{"id":"https://openalex.org/keywords/running-time","display_name":"Running time","score":0.47427448630332947},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.430130273103714},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23139145970344543},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15522009134292603}],"concepts":[{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.7062304019927979},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6891201138496399},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6208932399749756},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.543607234954834},{"id":"https://openalex.org/C195292467","wikidata":"https://www.wikidata.org/wiki/Q2091879","display_name":"Log-log plot","level":3,"score":0.5371720194816589},{"id":"https://openalex.org/C2777151079","wikidata":"https://www.wikidata.org/wiki/Q141160","display_name":"Parity (physics)","level":2,"score":0.5351212024688721},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5350896716117859},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.49669963121414185},{"id":"https://openalex.org/C3017489831","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Running time","level":2,"score":0.47427448630332947},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.430130273103714},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23139145970344543},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15522009134292603},{"id":"https://openalex.org/C109214941","wikidata":"https://www.wikidata.org/wiki/Q18334","display_name":"Particle physics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/s0097539793256879","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539793256879","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.46.5489","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.46.5489","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.ubc.ca/spider/condon/papers/clls96.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.48.2887","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.48.2887","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.cs.washington.edu/tr/1993/10/UW-CSE-93-10-02.PS.Z","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1480319329","https://openalex.org/W1967321130","https://openalex.org/W1967810725","https://openalex.org/W1978583881","https://openalex.org/W1992470151","https://openalex.org/W2007330207","https://openalex.org/W2017205387","https://openalex.org/W2027501230","https://openalex.org/W2034334221","https://openalex.org/W2065335024","https://openalex.org/W2067002313","https://openalex.org/W2070570981","https://openalex.org/W2089062581","https://openalex.org/W2097755092","https://openalex.org/W2108883356","https://openalex.org/W2119241866","https://openalex.org/W2120490947","https://openalex.org/W2137239103","https://openalex.org/W2143462372","https://openalex.org/W2150224209","https://openalex.org/W2153057609","https://openalex.org/W4238818575"],"related_works":["https://openalex.org/W2055932080","https://openalex.org/W4377371889","https://openalex.org/W1581210843","https://openalex.org/W2113270940","https://openalex.org/W1992470151","https://openalex.org/W1992104669","https://openalex.org/W2521054645","https://openalex.org/W2113623403","https://openalex.org/W2018076478","https://openalex.org/W1870020915"],"abstract_inverted_index":{"The":[0,18],"time":[1,52,67,89],"complexity":[2],"of":[3,26,31,34,41,56,71],"several":[4],"fundamental":[5],"problems":[6,19,58],"on":[7],"the":[8,22,29,39,51,66,88],"sub-bus":[9],"mesh":[10],"parallel":[11],"computer":[12],"with":[13],"p":[14,27,32,42],"processors":[15],"is":[16,45,59,76,96],"investigated.":[17],"include":[20],"computing":[21],"PARITY":[23],"and":[24,38,74],"MAJORITY":[25],"bits,":[28],"SUM":[30,75],"numbers":[33],"length":[35],"$O(\\log":[36],"p)$,":[37],"MINIMUM":[40,92],"numbers.":[43],"It":[44,83],"shown":[46,86],"that":[47,87],"in":[48,93],"one":[49],"dimension":[50],"to":[53,68,90],"compute":[54,69,91],"any":[55,70],"these":[57],"$\\Theta":[60,77,97],"(\\log":[61,98],"p)$.":[62],"In":[63],"two":[64,94],"dimensions":[65,95],"PARITY,":[72],"MAJORITY,":[73],"(\\tfrac{{\\log":[78],"p}}":[79],"{{\\log":[80],"\\log":[81,99],"p}})$.":[82],"was":[84],"previously":[85],"p)$":[100],"[R.":[101],"Miller":[102],"et":[103],"al.,":[104],"IEEE":[105],"Trans.":[106],"Comput.,":[107,116],"42":[108],"(1993),":[109],"pp.":[110,119],"678\u2013692;":[111],"L.":[112],"Valiant,":[113],"SIAM":[114],"J.":[115],"4":[117],"(1975),":[118],"348\u2013355]":[120]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
