{"id":"https://openalex.org/W256057417","doi":"https://doi.org/10.1016/s0304-3975(02)00453-x","title":"Resolution lower bounds for the weak functional pigeonhole principle","display_name":"Resolution lower bounds for the weak functional pigeonhole principle","publication_year":2003,"publication_date":"2003-01-21","ids":{"openalex":"https://openalex.org/W256057417","doi":"https://doi.org/10.1016/s0304-3975(02)00453-x","mag":"256057417"},"language":"en","primary_location":{"id":"doi:10.1016/s0304-3975(02)00453-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(02)00453-x","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"Theoretical Computer Science","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/A5008113826","display_name":"Alexander Razborov","orcid":null},"institutions":[{"id":"https://openalex.org/I2801160905","display_name":"Steklov Mathematical Institute","ror":"https://ror.org/03zeg8w71","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2801160905","https://openalex.org/I4210124601"]},{"id":"https://openalex.org/I40036882","display_name":"Institute for Advanced Study","ror":"https://ror.org/00f809463","country_code":"US","type":"facility","lineage":["https://openalex.org/I40036882"]}],"countries":["RU","US"],"is_corresponding":true,"raw_author_name":"Alexander A. Razborov","raw_affiliation_strings":["Institute for Advanced Study, Princeton, USA","Steklov Mathematical Institute, Moscow, Russia","Steklov Mathematical Institute, Moscow, Russia and Institute for Advanced Study, Princeton#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute for Advanced Study, Princeton, USA","institution_ids":["https://openalex.org/I40036882"]},{"raw_affiliation_string":"Steklov Mathematical Institute, Moscow, Russia","institution_ids":["https://openalex.org/I2801160905"]},{"raw_affiliation_string":"Steklov Mathematical Institute, Moscow, Russia and Institute for Advanced Study, Princeton#TAB#","institution_ids":["https://openalex.org/I40036882"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5008113826"],"corresponding_institution_ids":["https://openalex.org/I2801160905","https://openalex.org/I40036882"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":1.0997,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.75301659,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"303","issue":"1","first_page":"233","last_page":"243"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9927999973297119,"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":0.9927999973297119,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9894999861717224,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13720","display_name":"Benford\u2019s Law and Fraud Detection","score":0.9894999861717224,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/pigeonhole-principle","display_name":"Pigeonhole principle","score":0.9986367225646973},{"id":"https://openalex.org/keywords/resolution","display_name":"Resolution (logic)","score":0.7726936936378479},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5953395366668701},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5511035919189453},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.47369906306266785},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38172271847724915},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2509719133377075},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12033611536026001},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06585001945495605}],"concepts":[{"id":"https://openalex.org/C171988527","wikidata":"https://www.wikidata.org/wiki/Q188276","display_name":"Pigeonhole principle","level":2,"score":0.9986367225646973},{"id":"https://openalex.org/C138268822","wikidata":"https://www.wikidata.org/wiki/Q1051925","display_name":"Resolution (logic)","level":2,"score":0.7726936936378479},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5953395366668701},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5511035919189453},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.47369906306266785},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38172271847724915},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2509719133377075},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12033611536026001},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06585001945495605}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1016/s0304-3975(02)00453-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(02)00453-x","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.3.7114","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.3.7114","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://genesis.mi.ras.ru/~razborov/wfphp.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.95.2315","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.95.2315","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eccc.hpi-web.de/eccc-reports/2001/TR01-075/Paper.pdf","raw_type":"text"},{"id":"mag:256057417","is_oa":false,"landing_page_url":"http://dblp.uni-trier.de/db/journals/eccc/eccc8.html#ECCC-TR01-075","pdf_url":null,"source":{"id":"https://openalex.org/S11189987","display_name":"Electronic colloquium on computational complexity","issn_l":"1433-8092","issn":["1433-8092"],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":"Electronic colloquium on computational complexity","raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W2006367699","https://openalex.org/W2062897452","https://openalex.org/W2062912795","https://openalex.org/W2069767473","https://openalex.org/W2084384424","https://openalex.org/W2097113315","https://openalex.org/W2098022011","https://openalex.org/W2100738443","https://openalex.org/W2110053319","https://openalex.org/W2126420408","https://openalex.org/W2132489129","https://openalex.org/W2134961930","https://openalex.org/W2143313747","https://openalex.org/W6600791719","https://openalex.org/W6639793105"],"related_works":["https://openalex.org/W270222139","https://openalex.org/W2069767473","https://openalex.org/W157950381","https://openalex.org/W2093396771","https://openalex.org/W2062912795","https://openalex.org/W2105447726","https://openalex.org/W1662675122","https://openalex.org/W300103453","https://openalex.org/W2109174551","https://openalex.org/W2126186984","https://openalex.org/W2396233135","https://openalex.org/W2134961930","https://openalex.org/W2123878503","https://openalex.org/W2098022011","https://openalex.org/W2097113315","https://openalex.org/W1988083342","https://openalex.org/W1902951782","https://openalex.org/W2035926913","https://openalex.org/W2151373762","https://openalex.org/W642587135"],"abstract_inverted_index":null,"counts_by_year":[{"year":2013,"cited_by_count":2}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
