{"id":"https://openalex.org/W2125269896","doi":"https://doi.org/10.1145/1500175.1500347","title":"An economical construction for sorting networks","display_name":"An economical construction for sorting networks","publication_year":1974,"publication_date":"1974-01-01","ids":{"openalex":"https://openalex.org/W2125269896","doi":"https://doi.org/10.1145/1500175.1500347","mag":"2125269896"},"language":"en","primary_location":{"id":"doi:10.1145/1500175.1500347","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1500175.1500347","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the May 6-10, 1974, national computer conference and exposition on - AFIPS '74","raw_type":"proceedings-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/A5062387095","display_name":"David C. Van Voorhis","orcid":null},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"David C. Van Voorhis","raw_affiliation_strings":["IBM, Los Gatos, California"],"affiliations":[{"raw_affiliation_string":"IBM, Los Gatos, California","institution_ids":["https://openalex.org/I1341412227"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5062387095"],"corresponding_institution_ids":["https://openalex.org/I1341412227"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.34915888,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"921","last_page":"921"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9990000128746033,"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":0.9990000128746033,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9983999729156494,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/comparator","display_name":"Comparator","score":0.9212777614593506},{"id":"https://openalex.org/keywords/sorting-network","display_name":"Sorting network","score":0.8579879999160767},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.8177297115325928},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.7787009477615356},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6861628293991089},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.6861406564712524},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4390444755554199},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.41936972737312317},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3543311655521393},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.33493542671203613},{"id":"https://openalex.org/keywords/sorting-algorithm","display_name":"Sorting algorithm","score":0.27407824993133545},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2353319525718689},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19769513607025146},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.14439800381660461},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.11057740449905396}],"concepts":[{"id":"https://openalex.org/C155745195","wikidata":"https://www.wikidata.org/wiki/Q1164179","display_name":"Comparator","level":3,"score":0.9212777614593506},{"id":"https://openalex.org/C64540648","wikidata":"https://www.wikidata.org/wiki/Q646477","display_name":"Sorting network","level":4,"score":0.8579879999160767},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.8177297115325928},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.7787009477615356},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6861628293991089},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.6861406564712524},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4390444755554199},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.41936972737312317},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3543311655521393},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.33493542671203613},{"id":"https://openalex.org/C108094655","wikidata":"https://www.wikidata.org/wiki/Q181593","display_name":"Sorting algorithm","level":3,"score":0.27407824993133545},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2353319525718689},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19769513607025146},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.14439800381660461},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.11057740449905396},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1500175.1500347","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1500175.1500347","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the May 6-10, 1974, national computer conference and exposition on - AFIPS '74","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W75662173","https://openalex.org/W997071912","https://openalex.org/W1552054444","https://openalex.org/W1600795850","https://openalex.org/W2011849452","https://openalex.org/W2012188345","https://openalex.org/W2014116435","https://openalex.org/W2141389982","https://openalex.org/W2165311692","https://openalex.org/W2166164619"],"related_works":["https://openalex.org/W2164888609","https://openalex.org/W2365998105","https://openalex.org/W2017461851","https://openalex.org/W2131956217","https://openalex.org/W1521404434","https://openalex.org/W2168577286","https://openalex.org/W2208979138","https://openalex.org/W2094179388","https://openalex.org/W2122685942","https://openalex.org/W4290075327"],"abstract_inverted_index":{"An":[0],"N-input":[1],"sorting":[2],"network,":[3],"or":[4,51],"an":[5],"N-sorter,":[6],"is":[7,70],"a":[8,39,48,71],"switching":[9],"circuit":[10,66],"with":[11],"N":[12],"outputs":[13,31],"that":[14,47],"satisfy":[15],"the":[16,29,65,79,85,95],"following:":[17],"for":[18,60],"any":[19],"combination":[20],"of":[21,41],"inputs":[22],"I":[23],"=":[24,33],"{ia,":[25],"i1,":[26],"...,":[27,36],"iN-1},":[28],"resulting":[30],"0":[32],"{o0,":[34],"o1,":[35],"oN-1}":[37],"are":[38],"permutation":[40],"I,":[42],"and":[43,84,90],"o0\u2264o1\u2264...;\u2264oN-1.":[44],"Batcher":[45],"shows":[46],"basic":[49],"2-sorter,":[50],"comparator":[52,92],"cell,":[53],"can":[54],"be":[55],"used":[56],"to":[57,82,88],"construct":[58],"N-sorters":[59],"arbitrary":[61],"N.":[62],"For":[63],"example,":[64],"in":[67],"Figure":[68],"1":[69],"4-sorter,":[72],"since":[73],"comparators":[74],"A":[75],"through":[76],"D":[77],"move":[78],"smallest":[80],"input":[81,87],"o0":[83],"largest":[86],"o3,":[89],"then":[91],"E":[93],"orders":[94],"remaining":[96],"two":[97],"inputs.":[98]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}