{"id":"https://openalex.org/W2053157570","doi":"https://doi.org/10.1016/0022-0000(78)90038-7","title":"The circuit depth of symmetric boolean functions","display_name":"The circuit depth of symmetric boolean functions","publication_year":1978,"publication_date":"1978-08-01","ids":{"openalex":"https://openalex.org/W2053157570","doi":"https://doi.org/10.1016/0022-0000(78)90038-7","mag":"2053157570"},"language":"en","primary_location":{"id":"doi:10.1016/0022-0000(78)90038-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0022-0000(78)90038-7","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111029014","display_name":"William F. McColl","orcid":null},"institutions":[{"id":"https://openalex.org/I130828816","display_name":"University of Leeds","ror":"https://ror.org/024mrxd33","country_code":"GB","type":"education","lineage":["https://openalex.org/I130828816"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"William F. McColl","raw_affiliation_strings":["Department of Computer Studies, The University, Leeds LS2 9JT, England"],"affiliations":[{"raw_affiliation_string":"Department of Computer Studies, The University, Leeds LS2 9JT, England","institution_ids":["https://openalex.org/I130828816"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111029014"],"corresponding_institution_ids":["https://openalex.org/I130828816"],"apc_list":{"value":2520,"currency":"USD","value_usd":2520},"apc_paid":null,"fwci":2.71,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.91164384,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"17","issue":"1","first_page":"108","last_page":"115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9940000176429749,"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/T11130","display_name":"Coding theory and cryptography","score":0.9940000176429749,"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/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9898999929428101,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9822999835014343,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.5784634947776794},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.5179859399795532},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4727925956249237},{"id":"https://openalex.org/keywords/circuit-minimization-for-boolean-functions","display_name":"Circuit minimization for Boolean functions","score":0.45173367857933044},{"id":"https://openalex.org/keywords/parity-function","display_name":"Parity function","score":0.4281976819038391},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41565656661987305},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40427178144454956},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34345829486846924},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.32973647117614746}],"concepts":[{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.5784634947776794},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.5179859399795532},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4727925956249237},{"id":"https://openalex.org/C94992772","wikidata":"https://www.wikidata.org/wiki/Q6667469","display_name":"Circuit minimization for Boolean functions","level":4,"score":0.45173367857933044},{"id":"https://openalex.org/C188183281","wikidata":"https://www.wikidata.org/wiki/Q2898309","display_name":"Parity function","level":4,"score":0.4281976819038391},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41565656661987305},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40427178144454956},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34345829486846924},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.32973647117614746}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0022-0000(78)90038-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0022-0000(78)90038-7","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W110900528","https://openalex.org/W319391157","https://openalex.org/W2123375920","https://openalex.org/W2129731249","https://openalex.org/W2136111664","https://openalex.org/W3090398476","https://openalex.org/W4285719527","https://openalex.org/W6604533133","https://openalex.org/W6611022535","https://openalex.org/W6678289605","https://openalex.org/W6679744083","https://openalex.org/W6783798015"],"related_works":["https://openalex.org/W1597080238","https://openalex.org/W3204916073","https://openalex.org/W2055594799","https://openalex.org/W2106622045","https://openalex.org/W2516690985","https://openalex.org/W1991822629","https://openalex.org/W2611822924","https://openalex.org/W2728195892","https://openalex.org/W2062972911","https://openalex.org/W2063425181"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
