{"id":"https://openalex.org/W2084070217","doi":"https://doi.org/10.1016/0020-0190(83)90011-x","title":"Relating monotone formula size and monotone depth of boolean functions","display_name":"Relating monotone formula size and monotone depth of boolean functions","publication_year":1983,"publication_date":"1983-01-01","ids":{"openalex":"https://openalex.org/W2084070217","doi":"https://doi.org/10.1016/0020-0190(83)90011-x","mag":"2084070217"},"language":"en","primary_location":{"id":"doi:10.1016/0020-0190(83)90011-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0190(83)90011-x","pdf_url":null,"source":{"id":"https://openalex.org/S147953040","display_name":"Information Processing Letters","issn_l":"0020-0190","issn":["0020-0190","1872-6119"],"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":"Information Processing Letters","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/A5075262791","display_name":"Ingo Wegener","orcid":null},"institutions":[{"id":"https://openalex.org/I114090438","display_name":"Goethe University Frankfurt","ror":"https://ror.org/04cvxnb49","country_code":"DE","type":"education","lineage":["https://openalex.org/I114090438"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Ingo Wegener","raw_affiliation_strings":["Fachbereich 20-Informatik, Johann Wolfgang Goethe-Universit\u00e4t, 6000 Frankfurt am Main, Fed. Rep. of Germany"],"affiliations":[{"raw_affiliation_string":"Fachbereich 20-Informatik, Johann Wolfgang Goethe-Universit\u00e4t, 6000 Frankfurt am Main, Fed. Rep. of Germany","institution_ids":["https://openalex.org/I114090438"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5075262791"],"corresponding_institution_ids":["https://openalex.org/I114090438"],"apc_list":{"value":2200,"currency":"USD","value_usd":2200},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.26690391,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"16","issue":"1","first_page":"41","last_page":"42"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9645000100135803,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9645000100135803,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monotone-polygon","display_name":"Monotone polygon","score":0.8469462394714355},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6536023020744324},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.5937948822975159},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4567188024520874},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.44278591871261597},{"id":"https://openalex.org/keywords/parity-function","display_name":"Parity function","score":0.42471209168434143},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.37139153480529785},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06091010570526123}],"concepts":[{"id":"https://openalex.org/C2834757","wikidata":"https://www.wikidata.org/wiki/Q4925424","display_name":"Monotone polygon","level":2,"score":0.8469462394714355},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6536023020744324},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.5937948822975159},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4567188024520874},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.44278591871261597},{"id":"https://openalex.org/C188183281","wikidata":"https://www.wikidata.org/wiki/Q2898309","display_name":"Parity function","level":4,"score":0.42471209168434143},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.37139153480529785},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06091010570526123}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0020-0190(83)90011-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0190(83)90011-x","pdf_url":null,"source":{"id":"https://openalex.org/S147953040","display_name":"Information Processing Letters","issn_l":"0020-0190","issn":["0020-0190","1872-6119"],"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":"Information Processing Letters","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":2,"referenced_works":["https://openalex.org/W2002337670","https://openalex.org/W4230950430"],"related_works":["https://openalex.org/W1996760375","https://openalex.org/W2472916655","https://openalex.org/W1714759042","https://openalex.org/W2563652718","https://openalex.org/W2584956713","https://openalex.org/W2407218721","https://openalex.org/W1985196773","https://openalex.org/W2176189934","https://openalex.org/W2474705870","https://openalex.org/W4293752843"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
