{"id":"https://openalex.org/W2039334189","doi":"https://doi.org/10.1137/0220030","title":"Polynomial-Time Bounded Truth-Table Reducibility of NP Sets to Sparse Sets","display_name":"Polynomial-Time Bounded Truth-Table Reducibility of NP Sets to Sparse Sets","publication_year":1991,"publication_date":"1991-06-01","ids":{"openalex":"https://openalex.org/W2039334189","doi":"https://doi.org/10.1137/0220030","mag":"2039334189"},"language":"en","primary_location":{"id":"doi:10.1137/0220030","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0220030","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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/A5113675917","display_name":"Mitsunori Ogiwara","orcid":null},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Mitsunori Ogiwara","raw_affiliation_strings":["Tokyo Inst. of Tech"],"affiliations":[{"raw_affiliation_string":"Tokyo Inst. of Tech","institution_ids":["https://openalex.org/I114531698"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088236477","display_name":"Osamu Watanabe","orcid":"https://orcid.org/0000-0003-0284-7566"},"institutions":[{"id":"https://openalex.org/I114531698","display_name":"Tokyo Institute of Technology","ror":"https://ror.org/0112mx960","country_code":"JP","type":"education","lineage":["https://openalex.org/I114531698"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Osamu Watanabe","raw_affiliation_strings":["Tokyo Inst. of Tech"],"affiliations":[{"raw_affiliation_string":"Tokyo Inst. of Tech","institution_ids":["https://openalex.org/I114531698"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5113675917"],"corresponding_institution_ids":["https://openalex.org/I114531698"],"apc_list":null,"apc_paid":null,"fwci":13.346,"has_fulltext":false,"cited_by_count":149,"citation_normalized_percentile":{"value":0.99190488,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"20","issue":"3","first_page":"471","last_page":"483"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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/T10237","display_name":"Cryptography and Data Security","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/T12288","display_name":"Optimization and Search Problems","score":0.9922999739646912,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.721092700958252},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6172102689743042},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.607903242111206},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5557246208190918},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5485284924507141},{"id":"https://openalex.org/keywords/table","display_name":"Table (database)","score":0.46034979820251465},{"id":"https://openalex.org/keywords/decision-problem","display_name":"Decision problem","score":0.4491797983646393},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4396042823791504},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4118023216724396},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2732979655265808},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17485684156417847},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.10532104969024658}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.721092700958252},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6172102689743042},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.607903242111206},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5557246208190918},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5485284924507141},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.46034979820251465},{"id":"https://openalex.org/C115988155","wikidata":"https://www.wikidata.org/wiki/Q3262192","display_name":"Decision problem","level":2,"score":0.4491797983646393},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4396042823791504},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4118023216724396},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2732979655265808},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17485684156417847},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.10532104969024658},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/0220030","is_oa":false,"landing_page_url":"https://doi.org/10.1137/0220030","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.34.2458","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.34.2458","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.rochester.edu/u/ogihara/research/CCC/OgiWat.ps.gz","raw_type":"text"},{"id":"pmh:oai:t2r2.star.titech.ac.jp:50316008","is_oa":false,"landing_page_url":"http://t2r2.star.titech.ac.jp/cgi-bin/publicationinfo.cgi?q_publication_content_number=CTT100710979","pdf_url":null,"source":{"id":"https://openalex.org/S4377196385","display_name":"Tokyo Tech Research Repository (Tokyo Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I114531698","host_organization_name":"Tokyo Institute of Technology","host_organization_lineage":["https://openalex.org/I114531698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.7599999904632568,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W84551778","https://openalex.org/W1969813680","https://openalex.org/W1971691873","https://openalex.org/W1986203294","https://openalex.org/W1986448430","https://openalex.org/W1996184580","https://openalex.org/W2015568355","https://openalex.org/W2023336906","https://openalex.org/W2027466944","https://openalex.org/W2055734996","https://openalex.org/W2065251436","https://openalex.org/W2090186532","https://openalex.org/W2108834246","https://openalex.org/W2153191867","https://openalex.org/W4243643814"],"related_works":["https://openalex.org/W3013085049","https://openalex.org/W2948670949","https://openalex.org/W4288047943","https://openalex.org/W1560496689","https://openalex.org/W1992739770","https://openalex.org/W1774334694","https://openalex.org/W2030312085","https://openalex.org/W2221885959","https://openalex.org/W2000611521","https://openalex.org/W2963754540"],"abstract_inverted_index":{"We":[0,75],"prove":[1,35],"that":[2,14,36,77],"if":[3,84],"P":[4,47],"≠":[5],"NP,":[6],"then":[7,90],"there":[8],"exists":[9,43],"a":[10],"set":[11,42],"in":[12,88],"NP":[13,45],"is":[15,86,92],"not":[16,87,93],"polynomial":[17],"time":[18],"bounded":[19],"truth-table":[20],"reducible":[21],"(in":[22],"short,":[23],"p":[24,39,94],"btt":[25,40,95],"-reducible)":[26],"to":[27,97],"any":[28,98],"sparse":[29,38,99],"set.":[30,100],"In":[31],"other":[32],"words,":[33],"we":[34,57],"no":[37],"-hard":[41],"for":[44,78],"unless":[46],"=":[48],"NP.":[49],"By":[50],"using":[51],"the":[52],"technique":[53],"proving":[54],"this":[55],"result,":[56],"investigate":[58],"intractability":[59],"of":[60],"several":[61],"number":[62,72,80],"theoretic":[63,73,81],"decision":[64,67,82],"problems,":[65,83],"i.e.,":[66],"problems":[68],"defined":[69],"naturally":[70],"from":[71],"problems.":[74],"show":[76],"these":[79],"it":[85,91],"P,":[89],"-reducible":[96]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":8},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}