{"id":"https://openalex.org/W3037028364","doi":"https://doi.org/10.4086/toc.2016.v012a009","title":"","display_name":"","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W3037028364","doi":"https://doi.org/10.4086/toc.2016.v012a009","mag":"3037028364"},"language":"en","primary_location":{"id":"doi:10.4086/toc.2016.v012a009","is_oa":true,"landing_page_url":"https://doi.org/10.4086/toc.2016.v012a009","pdf_url":"http://www.theoryofcomputing.org/articles/v012a009/v012a009.pdf","source":{"id":"https://openalex.org/S142665794","display_name":"Theory of Computing","issn_l":"1557-2862","issn":["1557-2862"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315690","host_organization_name":"University of Chicago","host_organization_lineage":["https://openalex.org/P4310315690"],"host_organization_lineage_names":["University of Chicago"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"http://www.theoryofcomputing.org/articles/v012a009/v012a009.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065903790","display_name":"Mika G\u00f6\u00f6s","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mika Goos","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5004743191","display_name":"Thomas Watson","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Thomas Watson","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7024,"has_fulltext":true,"cited_by_count":8,"citation_normalized_percentile":{"value":0.77944234,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"12","issue":"1","first_page":"1","last_page":"23"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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":0.9998999834060669,"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/T10237","display_name":"Cryptography and Data Security","score":0.9991000294685364,"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"}},{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9891999959945679,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/communication-complexity","display_name":"Communication complexity","score":0.7100480794906616},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.6432474255561829},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6104162931442261},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5651865005493164},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5635273456573486},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5457940697669983},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5102770328521729},{"id":"https://openalex.org/keywords/complexity-class","display_name":"Complexity class","score":0.5084306597709656},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5048492550849915},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.2779587209224701},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17170175909996033},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11865141987800598}],"concepts":[{"id":"https://openalex.org/C179145077","wikidata":"https://www.wikidata.org/wiki/Q5154130","display_name":"Communication complexity","level":2,"score":0.7100480794906616},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.6432474255561829},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6104162931442261},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5651865005493164},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5635273456573486},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5457940697669983},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5102770328521729},{"id":"https://openalex.org/C39637292","wikidata":"https://www.wikidata.org/wiki/Q908207","display_name":"Complexity class","level":3,"score":0.5084306597709656},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5048492550849915},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.2779587209224701},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17170175909996033},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11865141987800598},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.4086/toc.2016.v012a009","is_oa":true,"landing_page_url":"https://doi.org/10.4086/toc.2016.v012a009","pdf_url":"http://www.theoryofcomputing.org/articles/v012a009/v012a009.pdf","source":{"id":"https://openalex.org/S142665794","display_name":"Theory of Computing","issn_l":"1557-2862","issn":["1557-2862"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315690","host_organization_name":"University of Chicago","host_organization_lineage":["https://openalex.org/P4310315690"],"host_organization_lineage_names":["University of Chicago"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.4086/toc.2016.v012a009","is_oa":true,"landing_page_url":"https://doi.org/10.4086/toc.2016.v012a009","pdf_url":"http://www.theoryofcomputing.org/articles/v012a009/v012a009.pdf","source":{"id":"https://openalex.org/S142665794","display_name":"Theory of Computing","issn_l":"1557-2862","issn":["1557-2862"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310315690","host_organization_name":"University of Chicago","host_organization_lineage":["https://openalex.org/P4310315690"],"host_organization_lineage_names":["University of Chicago"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theory of Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8399999737739563}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3037028364.pdf","grobid_xml":"https://content.openalex.org/works/W3037028364.grobid-xml"},"referenced_works_count":56,"referenced_works":["https://openalex.org/W111399865","https://openalex.org/W605043455","https://openalex.org/W1812653166","https://openalex.org/W1965748471","https://openalex.org/W1980223785","https://openalex.org/W1984477611","https://openalex.org/W1984976620","https://openalex.org/W1985526537","https://openalex.org/W1994916325","https://openalex.org/W2008671796","https://openalex.org/W2013587815","https://openalex.org/W2028368516","https://openalex.org/W2040889609","https://openalex.org/W2050981589","https://openalex.org/W2070486524","https://openalex.org/W2077740213","https://openalex.org/W2082224527","https://openalex.org/W2088263428","https://openalex.org/W2091039687","https://openalex.org/W2095409339","https://openalex.org/W2099111195","https://openalex.org/W2104886711","https://openalex.org/W2107917944","https://openalex.org/W2107933515","https://openalex.org/W2114522915","https://openalex.org/W2114607430","https://openalex.org/W2120210041","https://openalex.org/W2122058331","https://openalex.org/W2125389627","https://openalex.org/W2125608006","https://openalex.org/W2128633442","https://openalex.org/W2132588842","https://openalex.org/W2143355494","https://openalex.org/W2146688002","https://openalex.org/W2148957455","https://openalex.org/W2150285483","https://openalex.org/W2163605617","https://openalex.org/W2249023948","https://openalex.org/W2295580398","https://openalex.org/W2340787257","https://openalex.org/W2400109196","https://openalex.org/W2402047242","https://openalex.org/W2405220055","https://openalex.org/W2478708596","https://openalex.org/W2490907619","https://openalex.org/W2496614101","https://openalex.org/W2571088576","https://openalex.org/W2571478795","https://openalex.org/W2581093780","https://openalex.org/W2912052665","https://openalex.org/W2951982454","https://openalex.org/W2963613988","https://openalex.org/W4226347946","https://openalex.org/W4248270945","https://openalex.org/W4381304672","https://openalex.org/W6891679800"],"related_works":["https://openalex.org/W1513451900","https://openalex.org/W4288641573","https://openalex.org/W2907393545","https://openalex.org/W2962784854","https://openalex.org/W2949083013","https://openalex.org/W2328371232","https://openalex.org/W2120210041","https://openalex.org/W2101069215","https://openalex.org/W2950910290","https://openalex.org/W4298273595"],"abstract_inverted_index":{"We":[0],"study":[1],"SET-DISJOINTNESS":[2,48],"in":[3,96,102],"a":[4,39,55,65,69,93],"generalized":[5],"model":[6],"of":[7,14,42,47,68,71],"randomized":[8],"two-party":[9],"communication":[10,45],"where":[11,81],"the":[12,43,79],"probability":[13],"acceptance":[15],"must":[16],"be":[17],"at":[18,24],"least":[19],"(n)":[20,26,32,85],"on":[21,27],"yes-inputs":[22],"and":[23,52,54,73,86,99],"most":[25],"no-inputs,":[28],"for":[29,49,58],"some":[30],"functions":[31,51],">":[33],"(n).":[34],"Our":[35],"main":[36],"result":[37],"is":[38],"complete":[40],"characterization":[41,57,98],"private-coin":[44],"complexity":[46],"all":[50],",":[53],"near-complete":[56],"public-coin":[59],"protocols.":[60],"In":[61],"particular,":[62],"we":[63],"obtain":[64],"simple":[66],"proof":[67],"theorem":[70],"Braverman":[72],"Moitra":[74],"(STOC":[75],"2013),":[76],"who":[77],"studied":[78],"case":[80],"=":[82,87],"1/2":[83],"+":[84],"1/2(n).":[88],"The":[89],"following":[90],"contributions":[91],"play":[92],"crucial":[94],"role":[95],"our":[97],"are":[100],"interesting":[101],"their":[103],"own":[104],"right.":[105]},"counts_by_year":[{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-12-17T22:08:43.090829","created_date":"2020-07-02T00:00:00"}
