{"id":"https://openalex.org/W2044646290","doi":"https://doi.org/10.1016/0022-0000(83)90005-3","title":"An asymptotically optimal layout for the shuffle\u2014exchange graph","display_name":"An asymptotically optimal layout for the shuffle\u2014exchange graph","publication_year":1983,"publication_date":"1983-06-01","ids":{"openalex":"https://openalex.org/W2044646290","doi":"https://doi.org/10.1016/0022-0000(83)90005-3","mag":"2044646290"},"language":"en","primary_location":{"id":"doi:10.1016/0022-0000(83)90005-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0022-0000(83)90005-3","pdf_url":null,"source":{"id":"https://openalex.org/S141020589","display_name":"Journal of Computer and System Sciences","issn_l":"0022-0000","issn":["0022-0000","1090-2724"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computer and System Sciences","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dspace.mit.edu/bitstream/1721.1/149041/1/MIT-LCS-TM-231.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058820400","display_name":"Daniel J. Kleitman","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Daniel Kleitman","raw_affiliation_strings":["Mathematics Department and Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA","Mathematics Department and Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 USA"],"affiliations":[{"raw_affiliation_string":"Mathematics Department and Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Mathematics Department and Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110453378","display_name":"Frank Thomson Leighton","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Frank Thomson Leighton","raw_affiliation_strings":["Mathematics Department and Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA","Mathematics Department and Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 USA"],"affiliations":[{"raw_affiliation_string":"Mathematics Department and Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Mathematics Department and Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002697777","display_name":"Margaret Lepley","orcid":null},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Margaret Lepley","raw_affiliation_strings":["Mathematics Department and Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA","Mathematics Department and Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 USA"],"affiliations":[{"raw_affiliation_string":"Mathematics Department and Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Mathematics Department and Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 USA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010457003","display_name":"Gary L. Miller","orcid":"https://orcid.org/0000-0001-5456-8097"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Gary L. Miller","raw_affiliation_strings":["Mathematics Department and Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA","Mathematics Department and Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 USA"],"affiliations":[{"raw_affiliation_string":"Mathematics Department and Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA","institution_ids":["https://openalex.org/I63966007"]},{"raw_affiliation_string":"Mathematics Department and Laboratory for Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5058820400"],"corresponding_institution_ids":["https://openalex.org/I63966007"],"apc_list":{"value":2520,"currency":"USD","value_usd":2520},"apc_paid":null,"fwci":2.4579,"has_fulltext":true,"cited_by_count":14,"citation_normalized_percentile":{"value":0.90475026,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"26","issue":"3","first_page":"339","last_page":"361"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9998000264167786,"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/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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9977999925613403,"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/asymptotically-optimal-algorithm","display_name":"Asymptotically optimal algorithm","score":0.5932788848876953},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.5816572308540344},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5281111001968384},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5125977396965027},{"id":"https://openalex.org/keywords/sort","display_name":"sort","score":0.5041660070419312},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4595751464366913},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4471743106842041},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4323463439941406},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4194071292877197},{"id":"https://openalex.org/keywords/pspace","display_name":"PSPACE","score":0.4109647274017334},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39341598749160767},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.374569296836853},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2792200744152069},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.18375694751739502},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.14259108901023865}],"concepts":[{"id":"https://openalex.org/C181789720","wikidata":"https://www.wikidata.org/wiki/Q4812191","display_name":"Asymptotically optimal algorithm","level":2,"score":0.5932788848876953},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.5816572308540344},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5281111001968384},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5125977396965027},{"id":"https://openalex.org/C88548561","wikidata":"https://www.wikidata.org/wiki/Q347599","display_name":"sort","level":2,"score":0.5041660070419312},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4595751464366913},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4471743106842041},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4323463439941406},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4194071292877197},{"id":"https://openalex.org/C197685441","wikidata":"https://www.wikidata.org/wiki/Q500716","display_name":"PSPACE","level":3,"score":0.4109647274017334},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39341598749160767},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.374569296836853},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2792200744152069},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.18375694751739502},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.14259108901023865},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0022-0000(83)90005-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0022-0000(83)90005-3","pdf_url":null,"source":{"id":"https://openalex.org/S141020589","display_name":"Journal of Computer and System Sciences","issn_l":"0022-0000","issn":["0022-0000","1090-2724"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Computer and System Sciences","raw_type":"journal-article"},{"id":"pmh:oai:dspace.mit.edu:1721.1/149041","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/149041","pdf_url":"https://dspace.mit.edu/bitstream/1721.1/149041/1/MIT-LCS-TM-231.pdf","source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""}],"best_oa_location":{"id":"pmh:oai:dspace.mit.edu:1721.1/149041","is_oa":true,"landing_page_url":"https://hdl.handle.net/1721.1/149041","pdf_url":"https://dspace.mit.edu/bitstream/1721.1/149041/1/MIT-LCS-TM-231.pdf","source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2044646290.pdf","grobid_xml":"https://content.openalex.org/works/W2044646290.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W656357915","https://openalex.org/W1531368347","https://openalex.org/W1542977471","https://openalex.org/W1585714998","https://openalex.org/W1604829560","https://openalex.org/W1976284552","https://openalex.org/W1983982468","https://openalex.org/W2005315460","https://openalex.org/W2015569722","https://openalex.org/W2018444845","https://openalex.org/W2039216947","https://openalex.org/W2048871725","https://openalex.org/W2050753366","https://openalex.org/W2055869266","https://openalex.org/W2066782398","https://openalex.org/W2067002313","https://openalex.org/W2081568423","https://openalex.org/W2091104536","https://openalex.org/W2098163447","https://openalex.org/W2114769645","https://openalex.org/W2131853665","https://openalex.org/W2149977307","https://openalex.org/W2154307687","https://openalex.org/W4206658214","https://openalex.org/W4245266864","https://openalex.org/W6632300483","https://openalex.org/W6634991769","https://openalex.org/W6636187511","https://openalex.org/W6663231884","https://openalex.org/W6667001608","https://openalex.org/W6673137507","https://openalex.org/W6682407341","https://openalex.org/W7001655545"],"related_works":["https://openalex.org/W2361805396","https://openalex.org/W2972254340","https://openalex.org/W2606674369","https://openalex.org/W2022231341","https://openalex.org/W1805912688","https://openalex.org/W4255476312","https://openalex.org/W2373973507","https://openalex.org/W1771259603","https://openalex.org/W4250902763","https://openalex.org/W2351154965"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
