{"id":"https://openalex.org/W4390836122","doi":"https://doi.org/10.1145/3777401","title":"Sensitivity conjecture and signed hypercubes","display_name":"Sensitivity conjecture and signed hypercubes","publication_year":2025,"publication_date":"2025-12-16","ids":{"openalex":"https://openalex.org/W4390836122","doi":"https://doi.org/10.1145/3777401"},"language":"en","primary_location":{"id":"doi:10.1145/3777401","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3777401","pdf_url":null,"source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computation Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1145/3777401","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046789004","display_name":"Sophie Laplante","orcid":"https://orcid.org/0009-0005-2304-4625"},"institutions":[{"id":"https://openalex.org/I4210117673","display_name":"Institut de Recherche en Informatique Fondamentale","ror":"https://ror.org/02krdtz55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210089394","https://openalex.org/I4210117673","https://openalex.org/I4210139971"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Sophie Laplante","raw_affiliation_strings":["IRIF: Institut de Recherche en Informatique Fondamentale"],"affiliations":[{"raw_affiliation_string":"IRIF: Institut de Recherche en Informatique Fondamentale","institution_ids":["https://openalex.org/I4210117673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050560944","display_name":"Reza Naserasr","orcid":"https://orcid.org/0000-0001-6882-6034"},"institutions":[{"id":"https://openalex.org/I4210117673","display_name":"Institut de Recherche en Informatique Fondamentale","ror":"https://ror.org/02krdtz55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210089394","https://openalex.org/I4210117673","https://openalex.org/I4210139971"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Reza Naserasr","raw_affiliation_strings":["IRIF: Institut de Recherche en Informatique Fondamentale"],"affiliations":[{"raw_affiliation_string":"IRIF: Institut de Recherche en Informatique Fondamentale","institution_ids":["https://openalex.org/I4210117673"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043987922","display_name":"Anupa Sunny","orcid":"https://orcid.org/0000-0001-9635-8944"},"institutions":[{"id":"https://openalex.org/I4210117673","display_name":"Institut de Recherche en Informatique Fondamentale","ror":"https://ror.org/02krdtz55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210089394","https://openalex.org/I4210117673","https://openalex.org/I4210139971"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Anupa Sunny","raw_affiliation_strings":["IRIF: Institut de Recherche en Informatique Fondamentale"],"affiliations":[{"raw_affiliation_string":"IRIF: Institut de Recherche en Informatique Fondamentale","institution_ids":["https://openalex.org/I4210117673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001238118","display_name":"Zhouningxin Wang","orcid":"https://orcid.org/0000-0003-4722-4880"},"institutions":[{"id":"https://openalex.org/I4210117673","display_name":"Institut de Recherche en Informatique Fondamentale","ror":"https://ror.org/02krdtz55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I4210089394","https://openalex.org/I4210117673","https://openalex.org/I4210139971"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Zhouningxin Wang","raw_affiliation_strings":["IRIF: Institut de Recherche en Informatique Fondamentale"],"affiliations":[{"raw_affiliation_string":"IRIF: Institut de Recherche en Informatique Fondamentale","institution_ids":["https://openalex.org/I4210117673"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5046789004"],"corresponding_institution_ids":["https://openalex.org/I4210117673"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0008066,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"18","issue":"1","first_page":"1","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9708999991416931,"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"}},"topics":[{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9708999991416931,"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"}},{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.9077000021934509,"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"}},{"id":"https://openalex.org/T10904","display_name":"Embedded Systems Design Techniques","score":0.9057000279426575,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/hypercube","display_name":"Hypercube","score":0.8421024084091187},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.7194571495056152},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7074907422065735},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.522869348526001},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4299514591693878},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3418678343296051},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11776408553123474},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.039644837379455566}],"concepts":[{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.8421024084091187},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.7194571495056152},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7074907422065735},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.522869348526001},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4299514591693878},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3418678343296051},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11776408553123474},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.039644837379455566}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3777401","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3777401","pdf_url":null,"source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computation Theory","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04080411v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04080411","pdf_url":"https://hal.science/hal-04080411/document","source":{"id":"https://openalex.org/S4406922454","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"2023","raw_type":"Preprints, Working Papers, ..."}],"best_oa_location":{"id":"doi:10.1145/3777401","is_oa":true,"landing_page_url":"https://doi.org/10.1145/3777401","pdf_url":null,"source":{"id":"https://openalex.org/S205019203","display_name":"ACM Transactions on Computation Theory","issn_l":"1942-3454","issn":["1942-3454","1942-3462"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computation Theory","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1692876670","display_name":null,"funder_award_id":"ANR-17-CE40-0022","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2557521919","display_name":null,"funder_award_id":"754362","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G2689612763","display_name":null,"funder_award_id":"Marie","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G6803667113","display_name":null,"funder_award_id":"ANR-17","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G8318064016","display_name":null,"funder_award_id":"Horizon","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2916710807","https://openalex.org/W4286907761","https://openalex.org/W2413588304","https://openalex.org/W3205447645","https://openalex.org/W2009411567","https://openalex.org/W2371629703","https://openalex.org/W2097769911","https://openalex.org/W2774705104","https://openalex.org/W72835634","https://openalex.org/W2122785676"],"abstract_inverted_index":{"Using":[0,161],"spectral":[1],"techniques,":[2],"H.":[3],"Huang":[4],"proved":[5],"that":[6,82,127,200,225,240,293],"every":[7],"subgraph":[8,86,332],"of":[9,14,41,60,66,75,87,95,102,108,137,197,203,215,230,244,255,279,303,320,325,327,333],"\\(H_n\\)":[10,88,198,235],",":[11,17,133,145],"the":[12,23,42,64,67,93,106,134,150,158,170,173,195,201,204,213,241,262,273,277,294,323,334,337],"hypercube":[13],"dimension":[15],"n":[16,115,299],"induced":[18,85,174],"on":[19,172,206,234,322,356],"more":[20,90],"than":[21,91],"half":[22,92],"vertices":[24,65,116],"has":[25],"maximum":[26],"degree":[27,136,351],"at":[28,113,117,119,176,178],"least":[29,114],"\\(\\sqrt":[30],"{n}\\)":[31],".":[32,211],"Combined":[33],"with":[34,63,89,112,311,317,340],"earlier":[35],"work,":[36],"this":[37,46,237,290],"completed":[38],"a":[39,146,220,228,301,308,318,328,348],"proof":[40,186],"sensitivity":[43,151,159],"conjecture.":[44],"In":[45,78],"work":[47],"we":[48,80,125,165,283],"show":[49,126,166,347],"how":[50],"to":[51,72,188,194,260,346],"derive":[52],"Huang\u2019s":[53,76,185],"result":[54],"using":[55],"linear":[56,163],"dependency":[57],"and":[58,105,239,286,352],"independence":[59],"vectors":[61],"associated":[62],"hypercube.":[68,335],"Our":[69],"approach":[70],"leads":[71],"several":[73],"improvements":[74],"result.":[77],"particular,":[79],"prove":[81],"in":[83,184,276],"any":[84,129,245],"number":[94,324],"vertices,":[96,100],"there":[97,226],"are":[98,227,344],"two":[99,246,295],"one":[101,222,315],"odd":[103],"parity":[104],"other":[107,312,338],"even":[109],"parity,":[110],"each":[111,207],"distance":[118,177],"most":[120,179],"2.":[121],"As":[122],"an":[123,250],"application,":[124],"for":[128,289],"Boolean":[130],"function":[131],"f":[132,138],"polynomial":[135],"is":[139,187,209,249,259,270,300],"bounded":[140],"above":[141],"by":[142,157],"\\(\\text{s}_0(f)":[143],"\\text{s}_1(f)\\)":[144],"statement":[147],"which":[148,343],"implies":[149],"conjecture":[152],"(but":[153],"not":[154],"immediately":[155],"implied":[156],"conjecture).":[160],"these":[162,267],"dependencies,":[164],"structural":[167],"relations":[168],"about":[169],"neighborhoods":[171],"subgraphs":[175],"three.":[180],"A":[181,253],"key":[182],"implement":[183],"assign":[189],"signs":[190,205],"(":[191],"\\(+,-\\)":[192],")":[193],"edges":[196,217,326],"such":[199,232,247],"product":[202],"4-cycle":[208,330],"\\(-\\)":[210],"With":[212],"set":[214],"negative":[216],"being":[218],"called":[219],"signature,":[221],"may":[223],"observe":[224],"total":[229],"\\(2^{2^n-1}\\)":[231],"signatures":[233,248],"satisfying":[236],"condition":[238],"symmetric":[242],"difference":[243],"edge":[251],"cut.":[252],"question":[254,319],"high":[256],"interest":[257],"then":[258,306],"find":[261],"smallest":[263],"size":[264],"among":[265],"all":[266],"signatures.":[268],"This":[269],"known":[271],"as":[272],"frustration":[274],"index":[275],"study":[278],"signed":[280],"graphs.":[281],"Here":[282],"provide":[284],"lower":[285,354],"upper":[287],"bounds":[288,296,355],"parameter,":[291],"observing":[292],"match":[297],"when":[298],"power":[302],"4.":[304],"We":[305],"establish":[307],"strong":[309],"connection":[310],"studies:":[313],"On":[314,336],"hand":[316,339],"Erd\u0151s":[321],"largest":[329],"free":[331],"Ambainis":[341],"functions":[342],"used":[345],"separation":[349],"between":[350],"adversary":[353],"query":[357],"complexity.":[358]},"counts_by_year":[],"updated_date":"2026-03-21T08:13:44.787528","created_date":"2024-01-13T00:00:00"}
