{"id":"https://openalex.org/W1499435886","doi":"https://doi.org/10.1007/3-540-48523-6_15","title":"Small Pseudo-Random Sets Yield Hard Functions: New Tight Explicit Lower Bounds for Branching Programs","display_name":"Small Pseudo-Random Sets Yield Hard Functions: New Tight Explicit Lower Bounds for Branching Programs","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W1499435886","doi":"https://doi.org/10.1007/3-540-48523-6_15","mag":"1499435886"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-48523-6_15","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"book series"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"book-chapter","type_crossref":"book-chapter","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/A5110054740","display_name":"Alexander E. Andreev","orcid":null},"institutions":[{"id":"https://openalex.org/I4210137482","display_name":"Applied Logic Laboratory (Hungary)","ror":"https://ror.org/04kpvds24","country_code":"HU","type":"company","lineage":["https://openalex.org/I4210137482"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Alexander E. Andreev","raw_affiliation_strings":["LSI Logic#TAB#"],"affiliations":[{"raw_affiliation_string":"LSI Logic#TAB#","institution_ids":["https://openalex.org/I4210137482"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001165304","display_name":"Juri L. Baskakov","orcid":null},"institutions":[{"id":"https://openalex.org/I19880235","display_name":"Lomonosov Moscow State University","ror":"https://ror.org/010pmpe69","country_code":"RU","type":"funder","lineage":["https://openalex.org/I19880235"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Juri L. Baskakov","raw_affiliation_strings":[" University of Moscow"],"affiliations":[{"raw_affiliation_string":" University of Moscow","institution_ids":["https://openalex.org/I19880235"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001082357","display_name":"Andrea Clementi","orcid":"https://orcid.org/0000-0002-9521-2457"},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"funder","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Andrea E. F. Clementi","raw_affiliation_strings":["University \u201cTor Vergata\u201d of Rome"],"affiliations":[{"raw_affiliation_string":"University \u201cTor Vergata\u201d of Rome","institution_ids":["https://openalex.org/I116067653"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045128977","display_name":"Andrea Roli","orcid":"https://orcid.org/0000-0001-9891-5441"},"institutions":[{"id":"https://openalex.org/I114457229","display_name":"University of Geneva","ror":"https://ror.org/01swzsf04","country_code":"CH","type":"funder","lineage":["https://openalex.org/I114457229"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 D. P. Rolim","raw_affiliation_strings":["University of Geneva;"],"affiliations":[{"raw_affiliation_string":"University of Geneva;","institution_ids":["https://openalex.org/I114457229"]}]}],"institution_assertions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.224,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.881608,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":84,"max":85},"biblio":{"volume":null,"issue":null,"first_page":"179","last_page":"189"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9999,"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":0.9999,"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/T12288","display_name":"Optimization and Search Problems","score":0.9988,"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"}},{"id":"https://openalex.org/T12072","display_name":"Machine Learning and Algorithms","score":0.9978,"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/cardinality","display_name":"Cardinality (data modeling)","score":0.51146424},{"id":"https://openalex.org/keywords/parity-function","display_name":"Parity function","score":0.5007689}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7056006},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6867532},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.577752},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5511387},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.51146424},{"id":"https://openalex.org/C188183281","wikidata":"https://www.wikidata.org/wiki/Q2898309","display_name":"Parity function","level":4,"score":0.5007689},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.48754117},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.4831583},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.26219893},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12035063},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-48523-6_15","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_indexed_in_scopus":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319965","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Springer Nature","Springer Science+Business Media"],"type":"book series"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":23,"referenced_works":["https://openalex.org/W108374784","https://openalex.org/W1517585663","https://openalex.org/W1524205832","https://openalex.org/W1581386393","https://openalex.org/W1587602953","https://openalex.org/W1858119873","https://openalex.org/W186754686","https://openalex.org/W1898653522","https://openalex.org/W198198492","https://openalex.org/W1998918799","https://openalex.org/W2007671490","https://openalex.org/W2021736779","https://openalex.org/W2034156948","https://openalex.org/W205292147","https://openalex.org/W2095012419","https://openalex.org/W2095546965","https://openalex.org/W2116707966","https://openalex.org/W2121570310","https://openalex.org/W2144557478","https://openalex.org/W2164284862","https://openalex.org/W2395033936","https://openalex.org/W4285719527","https://openalex.org/W49163647"],"related_works":["https://openalex.org/W3204916073","https://openalex.org/W2952185983","https://openalex.org/W2611822924","https://openalex.org/W2486254595","https://openalex.org/W2106622045","https://openalex.org/W2062972911","https://openalex.org/W2055594799","https://openalex.org/W1597080238","https://openalex.org/W1564702418","https://openalex.org/W1526667530"],"abstract_inverted_index":null,"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W1499435886","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"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":1}],"updated_date":"2025-04-15T17:49:08.683383","created_date":"2016-06-24"}