{"id":"https://openalex.org/W62046042","doi":"https://doi.org/10.1007/978-3-662-44602-7_9","title":"Sensitivity, Block Sensitivity, and Certificate Complexity of Unate Functions and Read-Once Functions","display_name":"Sensitivity, Block Sensitivity, and Certificate Complexity of Unate Functions and Read-Once Functions","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W62046042","doi":"https://doi.org/10.1007/978-3-662-44602-7_9","mag":"62046042"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-662-44602-7_9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-662-44602-7_9","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-662-44602-7_9.pdf","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_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-662-44602-7_9.pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063557217","display_name":"Hiroki Morizumi","orcid":null},"institutions":[{"id":"https://openalex.org/I169016828","display_name":"Shimane University","ror":"https://ror.org/01jaaym28","country_code":"JP","type":"education","lineage":["https://openalex.org/I169016828"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hiroki Morizumi","raw_affiliation_strings":["Interdisciplinary Graduate School of Science and Engineering, Shimane University, Shimane, 690-8504, Japan"],"affiliations":[{"raw_affiliation_string":"Interdisciplinary Graduate School of Science and Engineering, Shimane University, Shimane, 690-8504, Japan","institution_ids":["https://openalex.org/I169016828"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5063557217"],"corresponding_institution_ids":["https://openalex.org/I169016828"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.7253,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69029594,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"104","last_page":"110"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9990000128746033,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.996999979019165,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9952999949455261,"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/sensitivity","display_name":"Sensitivity (control systems)","score":0.7029995918273926},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.6050251126289368},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5994485020637512},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5243392586708069},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5232366919517517},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5205448865890503},{"id":"https://openalex.org/keywords/certificate","display_name":"Certificate","score":0.4998455047607422},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4675883948802948},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3847845792770386},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36765819787979126},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3643423616886139},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2468881905078888}],"concepts":[{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.7029995918273926},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6050251126289368},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5994485020637512},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5243392586708069},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5232366919517517},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5205448865890503},{"id":"https://openalex.org/C96865113","wikidata":"https://www.wikidata.org/wiki/Q2946816","display_name":"Certificate","level":2,"score":0.4998455047607422},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4675883948802948},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3847845792770386},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36765819787979126},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3643423616886139},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2468881905078888},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-662-44602-7_9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-662-44602-7_9","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-662-44602-7_9.pdf","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_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-01402033v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01402033","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"8th IFIP International Conference on Theoretical Computer Science (TCS), Sep 2014, Rome, Italy. pp.104-110, ⟨10.1007/978-3-662-44602-7_9⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"doi:10.1007/978-3-662-44602-7_9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-662-44602-7_9","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-662-44602-7_9.pdf","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_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"sustainable_development_goals":[{"score":0.550000011920929,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W62046042.pdf","grobid_xml":"https://content.openalex.org/works/W62046042.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1633112202","https://openalex.org/W1867758558","https://openalex.org/W1915875322","https://openalex.org/W2012496360","https://openalex.org/W2079009446","https://openalex.org/W2116993798","https://openalex.org/W2122780600","https://openalex.org/W2403413752","https://openalex.org/W2963994076","https://openalex.org/W2964197271"],"related_works":["https://openalex.org/W2369049846","https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W2359232568","https://openalex.org/W1992739770","https://openalex.org/W4386900933","https://openalex.org/W2522585081","https://openalex.org/W2264307891","https://openalex.org/W4297797135","https://openalex.org/W3125672081"],"abstract_inverted_index":{"Sensitivity,":[0],"block":[1],"sensitivity,":[2],"and":[3,67],"certificate":[4],"complexity":[5,7,20,49,63],"are":[6,22],"measures":[8,21,50],"for":[9,46],"Boolean":[10,29],"functions.":[11,53],"In":[12],"this":[13],"paper,":[14],"we":[15],"prove":[16,41],"that":[17],"these":[18],"three":[19,48],"equal":[23],"to":[24],"each":[25],"other":[26],"if":[27],"a":[28,32,36],"function":[30,34],"is":[31,70],"unate":[33,65],"or":[35],"read-once":[37,52,68],"function.":[38,81],"We":[39],"also":[40],"$\\sqrt{n}$":[42],"tight":[43],"lower":[44],"bounds":[45],"the":[47,60,74,77,80],"of":[51,57,64,76,79],"As":[54],"an":[55],"application":[56],"our":[58],"results,":[59],"decision":[61],"tree":[62],"functions":[66,69],"upper":[71],"bounded":[72],"by":[73],"square":[75],"sensitivity":[78]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}