{"id":"https://openalex.org/W2005285611","doi":"https://doi.org/10.1145/1536414.1536479","title":"On the complexity of communication complexity","display_name":"On the complexity of communication complexity","publication_year":2009,"publication_date":"2009-05-31","ids":{"openalex":"https://openalex.org/W2005285611","doi":"https://doi.org/10.1145/1536414.1536479","mag":"2005285611"},"language":"en","primary_location":{"id":"doi:10.1145/1536414.1536479","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1536414.1536479","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-first annual ACM symposium on Theory of computing","raw_type":"proceedings-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/A5036104549","display_name":"Eyal Kushilevitz","orcid":"https://orcid.org/0009-0009-9277-3863"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Eyal Kushilevitz","raw_affiliation_strings":["Technion, Haifa, Israel","Technion , Haifa , Israel"],"affiliations":[{"raw_affiliation_string":"Technion, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Technion , Haifa , Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088801384","display_name":"Enav Weinreb","orcid":null},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Enav Weinreb","raw_affiliation_strings":["Technion, Haifa, Israel","Technion , Haifa , Israel"],"affiliations":[{"raw_affiliation_string":"Technion, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Technion , Haifa , Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036104549"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":2.1142,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.86359974,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"465","last_page":"474"},"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/T11567","display_name":"semigroups and automata theory","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/T11797","display_name":"graph theory and CDMA systems","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/communication-complexity","display_name":"Communication complexity","score":0.8197530508041382},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.6436471939086914},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.6234310269355774},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6016993522644043},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5851715207099915},{"id":"https://openalex.org/keywords/argument","display_name":"Argument (complex analysis)","score":0.5683306455612183},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4786221385002136},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45837166905403137},{"id":"https://openalex.org/keywords/descriptive-complexity-theory","display_name":"Descriptive complexity theory","score":0.4566437900066376},{"id":"https://openalex.org/keywords/average-case-complexity","display_name":"Average-case complexity","score":0.4510393440723419},{"id":"https://openalex.org/keywords/circuit-complexity","display_name":"Circuit complexity","score":0.43108946084976196},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.42379242181777954},{"id":"https://openalex.org/keywords/ph","display_name":"PH","score":0.4191182851791382},{"id":"https://openalex.org/keywords/logical-matrix","display_name":"Logical matrix","score":0.41130900382995605},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39437657594680786},{"id":"https://openalex.org/keywords/quantum-complexity-theory","display_name":"Quantum complexity theory","score":0.38725483417510986},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38296592235565186},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1999482810497284},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08519157767295837}],"concepts":[{"id":"https://openalex.org/C179145077","wikidata":"https://www.wikidata.org/wiki/Q5154130","display_name":"Communication complexity","level":2,"score":0.8197530508041382},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6436471939086914},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.6234310269355774},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6016993522644043},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5851715207099915},{"id":"https://openalex.org/C98184364","wikidata":"https://www.wikidata.org/wiki/Q1780131","display_name":"Argument (complex analysis)","level":2,"score":0.5683306455612183},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4786221385002136},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45837166905403137},{"id":"https://openalex.org/C133142742","wikidata":"https://www.wikidata.org/wiki/Q1200755","display_name":"Descriptive complexity theory","level":3,"score":0.4566437900066376},{"id":"https://openalex.org/C24604422","wikidata":"https://www.wikidata.org/wiki/Q4828244","display_name":"Average-case complexity","level":3,"score":0.4510393440723419},{"id":"https://openalex.org/C90702460","wikidata":"https://www.wikidata.org/wiki/Q1055112","display_name":"Circuit complexity","level":3,"score":0.43108946084976196},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.42379242181777954},{"id":"https://openalex.org/C122806257","wikidata":"https://www.wikidata.org/wiki/Q1063380","display_name":"PH","level":5,"score":0.4191182851791382},{"id":"https://openalex.org/C163561899","wikidata":"https://www.wikidata.org/wiki/Q1994977","display_name":"Logical matrix","level":3,"score":0.41130900382995605},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39437657594680786},{"id":"https://openalex.org/C92043244","wikidata":"https://www.wikidata.org/wiki/Q7269023","display_name":"Quantum complexity theory","level":4,"score":0.38725483417510986},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38296592235565186},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1999482810497284},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08519157767295837},{"id":"https://openalex.org/C134146338","wikidata":"https://www.wikidata.org/wiki/Q1815901","display_name":"Electronic circuit","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1536414.1536479","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1536414.1536479","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-first annual ACM symposium on Theory of computing","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.218.8800","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.218.8800","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.bgu.ac.il/~weinrebe/Papers/stoc2009.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.46000000834465027}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W231253947","https://openalex.org/W1551614270","https://openalex.org/W1856841786","https://openalex.org/W1966278576","https://openalex.org/W1966819396","https://openalex.org/W1997315904","https://openalex.org/W2002501531","https://openalex.org/W2009604093","https://openalex.org/W2014917736","https://openalex.org/W2025279645","https://openalex.org/W2050688507","https://openalex.org/W2059453880","https://openalex.org/W2060972166","https://openalex.org/W2061987651","https://openalex.org/W2068422506","https://openalex.org/W2116453796","https://openalex.org/W2117362057","https://openalex.org/W2124218043","https://openalex.org/W2163605617","https://openalex.org/W2174446922","https://openalex.org/W2175167577","https://openalex.org/W2340787257","https://openalex.org/W2610838164","https://openalex.org/W2895239415","https://openalex.org/W2912080987","https://openalex.org/W2914893704","https://openalex.org/W6608986037"],"related_works":["https://openalex.org/W2374430960","https://openalex.org/W2327776271","https://openalex.org/W342214647","https://openalex.org/W1512399864","https://openalex.org/W2029183607","https://openalex.org/W2047754121","https://openalex.org/W2035152936","https://openalex.org/W1988772559","https://openalex.org/W2041069649","https://openalex.org/W1834737061"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,25],"following":[3],"question:":[4],"given":[5],"a":[6],"two-argument":[7],"boolean":[8],"function":[9],"f,":[10],"represented":[11],"as":[12],"an":[13],"N":[14,16],"x":[15],"binary":[17],"matrix,":[18],"how":[19],"hard":[20],"is":[21],"it":[22],"to":[23],"determine":[24],"(deterministic)":[26],"communication":[27],"complexity":[28],"of":[29],"f?":[30]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}