{"id":"https://openalex.org/W2004966370","doi":"https://doi.org/10.1016/0022-0000(82)90053-8","title":"The maximum value problem and NP real numbers","display_name":"The maximum value problem and NP real numbers","publication_year":1982,"publication_date":"1982-02-01","ids":{"openalex":"https://openalex.org/W2004966370","doi":"https://doi.org/10.1016/0022-0000(82)90053-8","mag":"2004966370"},"language":"en","primary_location":{"id":"doi:10.1016/0022-0000(82)90053-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0022-0000(82)90053-8","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/A5113600199","display_name":"Ker\u2010I Ko","orcid":null},"institutions":[{"id":"https://openalex.org/I44461941","display_name":"University of Houston","ror":"https://ror.org/048sx0r50","country_code":"US","type":"education","lineage":["https://openalex.org/I44461941"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Ker-I Ko","raw_affiliation_strings":["Department of Computer Science, University of Houston, Houston, Texas 77004, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Houston, Houston, Texas 77004, USA","institution_ids":["https://openalex.org/I44461941"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113600199"],"corresponding_institution_ids":["https://openalex.org/I44461941"],"apc_list":{"value":2520,"currency":"USD","value_usd":2520},"apc_paid":null,"fwci":4.9396,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.95865851,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"24","issue":"1","first_page":"15","last_page":"35"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9984999895095825,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9872000217437744,"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/T10126","display_name":"Logic, programming, and type systems","score":0.9656999707221985,"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/value","display_name":"Value (mathematics)","score":0.6195946931838989},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5226947069168091},{"id":"https://openalex.org/keywords/np-complete","display_name":"NP-complete","score":0.4162844121456146},{"id":"https://openalex.org/keywords/p-versus-np-problem","display_name":"P versus NP problem","score":0.4116736650466919},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36868932843208313},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3448895812034607},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3320334851741791},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.24674087762832642},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.17987540364265442}],"concepts":[{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.6195946931838989},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5226947069168091},{"id":"https://openalex.org/C122749075","wikidata":"https://www.wikidata.org/wiki/Q215206","display_name":"NP-complete","level":3,"score":0.4162844121456146},{"id":"https://openalex.org/C186861659","wikidata":"https://www.wikidata.org/wiki/Q746242","display_name":"P versus NP problem","level":3,"score":0.4116736650466919},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36868932843208313},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3448895812034607},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3320334851741791},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.24674087762832642},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.17987540364265442}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0022-0000(82)90053-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0022-0000(82)90053-8","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1518163798","https://openalex.org/W1519919954","https://openalex.org/W1769563729","https://openalex.org/W1975452830","https://openalex.org/W2006786362","https://openalex.org/W2007464118","https://openalex.org/W2013455832","https://openalex.org/W2020164082","https://openalex.org/W2036265926","https://openalex.org/W2052936500","https://openalex.org/W2065251436","https://openalex.org/W2069919161","https://openalex.org/W2093618693","https://openalex.org/W2317459460","https://openalex.org/W2530006810","https://openalex.org/W2905135108","https://openalex.org/W3046397786","https://openalex.org/W4231629838","https://openalex.org/W4232418676","https://openalex.org/W6637964391","https://openalex.org/W6651922783","https://openalex.org/W6653669604","https://openalex.org/W6655693575","https://openalex.org/W6659573362","https://openalex.org/W6667944808"],"related_works":["https://openalex.org/W4237751865","https://openalex.org/W4312809402","https://openalex.org/W3112732671","https://openalex.org/W1996556687","https://openalex.org/W2147101510","https://openalex.org/W2911941995","https://openalex.org/W2366943799","https://openalex.org/W2169306227","https://openalex.org/W4391032428","https://openalex.org/W4300484742"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}