{"id":"https://openalex.org/W1883887292","doi":"https://doi.org/10.1007/s00037-016-0131-1","title":"Subexponential Size Hitting Sets for Bounded Depth Multilinear Formulas","display_name":"Subexponential Size Hitting Sets for Bounded Depth Multilinear Formulas","publication_year":2016,"publication_date":"2016-04-11","ids":{"openalex":"https://openalex.org/W1883887292","doi":"https://doi.org/10.1007/s00037-016-0131-1","mag":"1883887292"},"language":"en","primary_location":{"id":"doi:10.1007/s00037-016-0131-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00037-016-0131-1","pdf_url":null,"source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","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/A5101874933","display_name":"Rafael Oliveira","orcid":"https://orcid.org/0000-0001-8917-8689"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Rafael Oliveira","raw_affiliation_strings":["Department of Computer Science, Princeton University, Princeton, NJ, USA","[Department of Computer Science, Princeton University, Princeton, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"[Department of Computer Science, Princeton University, Princeton, USA]","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Amir Shpilka","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Amir Shpilka","raw_affiliation_strings":["Department of Computer Science, Tel Aviv University, Tel Aviv, Israel","Dept. of Computer Science, Tel Aviv University, Tel Aviv, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Dept. of Computer Science, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073175433","display_name":"Ben Lee Volk","orcid":"https://orcid.org/0000-0002-7143-7280"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ben lee Volk","raw_affiliation_strings":["Department of Computer Science, Tel Aviv University, Tel Aviv, Israel","Dept. of Computer Science, Tel Aviv University, Tel Aviv, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Dept. of Computer Science, Tel Aviv University, Tel Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101874933"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":2.9348,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.91142719,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"25","issue":"2","first_page":"455","last_page":"505"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998000264167786,"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":0.9998000264167786,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9976000189781189,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multilinear-map","display_name":"Multilinear map","score":0.9297178387641907},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.756999671459198},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7376044988632202},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.723124623298645},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7188513278961182},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.584753155708313},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5256360769271851},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40001168847084045},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18970367312431335},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14650830626487732},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14143383502960205},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06637546420097351}],"concepts":[{"id":"https://openalex.org/C84392682","wikidata":"https://www.wikidata.org/wiki/Q1952404","display_name":"Multilinear map","level":2,"score":0.9297178387641907},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.756999671459198},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7376044988632202},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.723124623298645},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7188513278961182},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.584753155708313},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5256360769271851},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40001168847084045},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18970367312431335},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14650830626487732},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14143383502960205},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06637546420097351}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00037-016-0131-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00037-016-0131-1","pdf_url":null,"source":{"id":"https://openalex.org/S193995496","display_name":"Computational Complexity","issn_l":"1016-3328","issn":["1016-3328","1420-8954"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320186","host_organization_name":"Birkh\u00e4user","host_organization_lineage":["https://openalex.org/P4310320186","https://openalex.org/P4310319900"],"host_organization_lineage_names":["Birkh\u00e4user","Springer Science+Business Media"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"computational complexity","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":50,"referenced_works":["https://openalex.org/W1503731768","https://openalex.org/W1508771701","https://openalex.org/W1571321110","https://openalex.org/W1599026900","https://openalex.org/W1760203663","https://openalex.org/W1968245619","https://openalex.org/W1984806876","https://openalex.org/W1991584875","https://openalex.org/W1998853590","https://openalex.org/W2000108234","https://openalex.org/W2015393485","https://openalex.org/W2016576580","https://openalex.org/W2018202033","https://openalex.org/W2023541349","https://openalex.org/W2024334120","https://openalex.org/W2026036943","https://openalex.org/W2026944800","https://openalex.org/W2027044307","https://openalex.org/W2064885856","https://openalex.org/W2068871408","https://openalex.org/W2069546133","https://openalex.org/W2080132708","https://openalex.org/W2081256023","https://openalex.org/W2084050956","https://openalex.org/W2087857477","https://openalex.org/W2101037056","https://openalex.org/W2104644213","https://openalex.org/W2109995168","https://openalex.org/W2110206454","https://openalex.org/W2121894367","https://openalex.org/W2123852216","https://openalex.org/W2125151663","https://openalex.org/W2128510017","https://openalex.org/W2129530428","https://openalex.org/W2142326730","https://openalex.org/W2148193607","https://openalex.org/W2153445467","https://openalex.org/W2159341052","https://openalex.org/W2169939595","https://openalex.org/W2171403864","https://openalex.org/W2172394696","https://openalex.org/W2177482211","https://openalex.org/W2395720335","https://openalex.org/W2490952112","https://openalex.org/W2950870155","https://openalex.org/W2951580623","https://openalex.org/W2977322974","https://openalex.org/W3103519306","https://openalex.org/W6947899681","https://openalex.org/W6948228571"],"related_works":["https://openalex.org/W2155111099","https://openalex.org/W3013407674","https://openalex.org/W3000087930","https://openalex.org/W3186548984","https://openalex.org/W2963154509","https://openalex.org/W2767623943","https://openalex.org/W2744913687","https://openalex.org/W2283239302","https://openalex.org/W2574373534","https://openalex.org/W2963873487"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
