{"id":"https://openalex.org/W4283819639","doi":"https://doi.org/10.1007/s00037-022-00223-8","title":"Quadratic Lower Bounds for Algebraic Branching Programs and Formulas","display_name":"Quadratic Lower Bounds for Algebraic Branching Programs and Formulas","publication_year":2022,"publication_date":"2022-07-05","ids":{"openalex":"https://openalex.org/W4283819639","doi":"https://doi.org/10.1007/s00037-022-00223-8"},"language":"en","primary_location":{"id":"doi:10.1007/s00037-022-00223-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00037-022-00223-8","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/A5053586878","display_name":"Prerona Chatterjee","orcid":"https://orcid.org/0000-0003-2643-8142"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Prerona Chatterjee","raw_affiliation_strings":["School of Technology and\nComputer Science, TIFR, Bombay, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Technology and\nComputer Science, TIFR, Bombay, India","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100713973","display_name":"Mrinal Kumar","orcid":"https://orcid.org/0000-0002-6430-0219"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Mrinal Kumar","raw_affiliation_strings":["Department of Computer Science, IIT Bombay, Bombay, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, IIT Bombay, Bombay, India","institution_ids":["https://openalex.org/I162827531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003512894","display_name":"Adrian She","orcid":null},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Adrian She","raw_affiliation_strings":["Theoretical Computer Science Research Group, University of Toronto, Toronto, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Theoretical Computer Science Research Group, University of Toronto, Toronto, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"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/I138898306","display_name":"Reichman University","ror":"https://ror.org/01px5cv07","country_code":"IL","type":"education","lineage":["https://openalex.org/I138898306"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Ben Lee Volk","raw_affiliation_strings":["Efi Arazi School of Computer Science, Reichman University (IDC Herzliya), Herzliya, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Efi Arazi School of Computer Science, Reichman University (IDC Herzliya), Herzliya, Israel","institution_ids":["https://openalex.org/I138898306"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5003512894","https://openalex.org/A5053586878","https://openalex.org/A5100713973"],"corresponding_institution_ids":["https://openalex.org/I162827531","https://openalex.org/I185261750"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.7964,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.73801124,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"31","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9993000030517578,"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":0.9993000030517578,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9973000288009644,"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/T11567","display_name":"semigroups and automata theory","score":0.9944000244140625,"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/combinatorics","display_name":"Combinatorics","score":0.7650241255760193},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7225748300552368},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6427721977233887},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5702988505363464},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5410668849945068},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.49434494972229004},{"id":"https://openalex.org/keywords/homogeneous","display_name":"Homogeneous","score":0.4680008292198181},{"id":"https://openalex.org/keywords/strassen-algorithm","display_name":"Strassen algorithm","score":0.4460658133029938},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.43703097105026245},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.42634493112564087},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3905784487724304},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.19248345494270325},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09326803684234619},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0753190815448761}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7650241255760193},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7225748300552368},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6427721977233887},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5702988505363464},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5410668849945068},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.49434494972229004},{"id":"https://openalex.org/C66882249","wikidata":"https://www.wikidata.org/wiki/Q169336","display_name":"Homogeneous","level":2,"score":0.4680008292198181},{"id":"https://openalex.org/C39096654","wikidata":"https://www.wikidata.org/wiki/Q728507","display_name":"Strassen algorithm","level":4,"score":0.4460658133029938},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.43703097105026245},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.42634493112564087},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3905784487724304},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.19248345494270325},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09326803684234619},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0753190815448761},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00037-022-00223-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00037-022-00223-8","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W201320490","https://openalex.org/W1530008367","https://openalex.org/W1554948556","https://openalex.org/W1558460102","https://openalex.org/W1642153648","https://openalex.org/W1973342538","https://openalex.org/W1974331311","https://openalex.org/W1984455600","https://openalex.org/W1988938797","https://openalex.org/W2010163765","https://openalex.org/W2019881619","https://openalex.org/W2026944800","https://openalex.org/W2027044307","https://openalex.org/W2059985428","https://openalex.org/W2066775922","https://openalex.org/W2071105597","https://openalex.org/W2110206454","https://openalex.org/W2120551550","https://openalex.org/W2171403864","https://openalex.org/W2313549751","https://openalex.org/W2467589244","https://openalex.org/W2490907619","https://openalex.org/W2552365899","https://openalex.org/W2914183794","https://openalex.org/W2954888688","https://openalex.org/W2998669040"],"related_works":["https://openalex.org/W4303646773","https://openalex.org/W2069906535","https://openalex.org/W2950769433","https://openalex.org/W1964529245","https://openalex.org/W2041189380","https://openalex.org/W2165928982","https://openalex.org/W3119520783","https://openalex.org/W2738778419","https://openalex.org/W4378806115","https://openalex.org/W2803189836"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
