{"id":"https://openalex.org/W2136963271","doi":"https://doi.org/10.1109/tc.1981.1675790","title":"The Universality of the Shuffle-Exchange Network","display_name":"The Universality of the Shuffle-Exchange Network","publication_year":1981,"publication_date":"1981-05-01","ids":{"openalex":"https://openalex.org/W2136963271","doi":"https://doi.org/10.1109/tc.1981.1675790","mag":"2136963271"},"language":"en","primary_location":{"id":"doi:10.1109/tc.1981.1675790","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1981.1675790","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","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/A5100824844","display_name":"Chuan-lin Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chuan-Lin Wu","raw_affiliation_strings":["Department of Computer and Information Science, Ohio State University","Department of Computer and Information Science, Ohio State University#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, Ohio State University","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"Department of Computer and Information Science, Ohio State University#TAB#","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007349399","display_name":"Tse-Yun Feng","orcid":null},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tse-Yun Feng","raw_affiliation_strings":["Department of Computer and Information Science, Ohio State Uinversity, Columbus, OH, USA","[Department of Computer and Information Science, Ohio State Uinversity, Columbus, OH, USA]"],"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, Ohio State Uinversity, Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"[Department of Computer and Information Science, Ohio State Uinversity, Columbus, OH, USA]","institution_ids":["https://openalex.org/I52357470"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100824844"],"corresponding_institution_ids":["https://openalex.org/I52357470"],"apc_list":null,"apc_paid":null,"fwci":4.8516,"has_fulltext":false,"cited_by_count":162,"citation_normalized_percentile":{"value":0.95205153,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"C-30","issue":"5","first_page":"324","last_page":"332"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9995999932289124,"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":0.9995999932289124,"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/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9970999956130981,"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/T10904","display_name":"Embedded Systems Design Techniques","score":0.9962999820709229,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.7066057920455933},{"id":"https://openalex.org/keywords/multistage-interconnection-networks","display_name":"Multistage interconnection networks","score":0.6408882737159729},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6163241863250732},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.593643069267273},{"id":"https://openalex.org/keywords/interconnection","display_name":"Interconnection","score":0.5610240697860718},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5123063325881958},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4701274335384369},{"id":"https://openalex.org/keywords/universality","display_name":"Universality (dynamical systems)","score":0.4372015595436096},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3417191505432129},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.339767724275589},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3338157534599304},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.30885231494903564},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.30538511276245117},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.28661927580833435}],"concepts":[{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.7066057920455933},{"id":"https://openalex.org/C2776832011","wikidata":"https://www.wikidata.org/wiki/Q6935099","display_name":"Multistage interconnection networks","level":3,"score":0.6408882737159729},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6163241863250732},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.593643069267273},{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.5610240697860718},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5123063325881958},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4701274335384369},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.4372015595436096},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3417191505432129},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.339767724275589},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3338157534599304},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.30885231494903564},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.30538511276245117},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28661927580833435},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tc.1981.1675790","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.1981.1675790","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","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":18,"referenced_works":["https://openalex.org/W1976284552","https://openalex.org/W1978164133","https://openalex.org/W1979502974","https://openalex.org/W2012024714","https://openalex.org/W2028613093","https://openalex.org/W2032646903","https://openalex.org/W2040755057","https://openalex.org/W2044548351","https://openalex.org/W2052282410","https://openalex.org/W2055869266","https://openalex.org/W2081568423","https://openalex.org/W2093762724","https://openalex.org/W2104338134","https://openalex.org/W2132733020","https://openalex.org/W2154307687","https://openalex.org/W2164309468","https://openalex.org/W2165142873","https://openalex.org/W4250030285"],"related_works":["https://openalex.org/W2189226368","https://openalex.org/W4321520003","https://openalex.org/W2264708074","https://openalex.org/W3147216279","https://openalex.org/W2346543366","https://openalex.org/W311319973","https://openalex.org/W4243279819","https://openalex.org/W2009860552","https://openalex.org/W2089015040","https://openalex.org/W2052491065"],"abstract_inverted_index":{"This":[0],"paper":[1],"has":[2],"focused":[3],"on":[4],"the":[5,12,68,72,104,108,112],"realization":[6],"of":[7,17,67],"every":[8,49],"arbitrary":[9,50],"permutation":[10,51,73],"with":[11],"shuffle-exchange":[13,18,69,83,90,109],"network.":[14],"Permutation":[15],"properties":[16],"networks":[19],"are":[20,23,45,92],"studied":[21],"and":[22,88,111],"used":[24],"to":[25,47,63],"demonstrate":[26],"several":[27],"universal":[28,77],"networks.":[29],"It":[30],"is":[31,54,60],"concluded":[32],"that":[33,117],"3(log2":[34],"N)":[35],"\u20131":[36],"passes":[37],"through":[38],"a":[39,121],"single-stage":[40],"regular":[41],"shuffle":[42],"exchange":[43],"network":[44,55,91,110,115],"sufficient":[46],"realize":[48],"where":[52],"N":[53],"size.":[56],"A":[57],"routing":[58],"algorithm":[59],"also":[61],"developed":[62],"calculate":[64],"control":[65],"settings":[66],"switches":[70],"for":[71,95],"realization.":[74],"Three":[75],"optimal":[76],"networks,":[78],"namely,":[79],"expanded":[80],"direct-":[81],"connection":[82],"network,":[84,87],"multiple-pass":[85],"omega":[86],"modified":[89],"then":[93],"exploited":[94],"better":[96],"interconnection":[97],"purposes.":[98],"In":[99],"addition,":[100],"this":[101],"work":[102],"specifies":[103],"inherent":[105],"relationship":[106],"between":[107],"Benes":[113],"binary":[114],"so":[116],"designers":[118],"can":[119],"have":[120],"broad":[122],"prospect.":[123]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
