{"id":"https://openalex.org/W2962919971","doi":"https://doi.org/10.1145/3448643","title":"On the Sensitivity Complexity of <i>k</i> -Uniform Hypergraph Properties","display_name":"On the Sensitivity Complexity of <i>k</i> -Uniform Hypergraph Properties","publication_year":2021,"publication_date":"2021-03-26","ids":{"openalex":"https://openalex.org/W2962919971","doi":"https://doi.org/10.1145/3448643","mag":"2962919971"},"language":"en","primary_location":{"id":"doi:10.1145/3448643","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3448643","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":null,"license_id":null,"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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100340582","display_name":"Qian Li","orcid":"https://orcid.org/0000-0002-3143-6232"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qian Li","raw_affiliation_strings":["Shenzhen University, Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"Shenzhen University, Shenzhen, China","institution_ids":["https://openalex.org/I180726961"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000241520","display_name":"Xiaoming Sun","orcid":"https://orcid.org/0000-0002-0281-1670"},"institutions":[{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoming Sun","raw_affiliation_strings":["University of Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100340582"],"corresponding_institution_ids":["https://openalex.org/I180726961"],"apc_list":null,"apc_paid":null,"fwci":0.148,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.45179841,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":"2","first_page":"1","last_page":"13"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9993000030517578,"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/T11130","display_name":"Coding theory and cryptography","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.9436779022216797},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.761002779006958},{"id":"https://openalex.org/keywords/sensitivity","display_name":"Sensitivity (control systems)","score":0.6751905679702759},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.673876941204071},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5883568525314331},{"id":"https://openalex.org/keywords/transitive-relation","display_name":"Transitive relation","score":0.5117897391319275},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4950477182865143},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47181546688079834}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.9436779022216797},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.761002779006958},{"id":"https://openalex.org/C21200559","wikidata":"https://www.wikidata.org/wiki/Q7451068","display_name":"Sensitivity (control systems)","level":2,"score":0.6751905679702759},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.673876941204071},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5883568525314331},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.5117897391319275},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4950477182865143},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47181546688079834},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/3448643","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3448643","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Computation Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7451962692","display_name":null,"funder_award_id":"61832003, 61761136014, 61872334, 61433014 and 62002229","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1777784767","https://openalex.org/W1867758558","https://openalex.org/W1974514669","https://openalex.org/W1977926680","https://openalex.org/W1993828478","https://openalex.org/W2001332511","https://openalex.org/W2012496360","https://openalex.org/W2014377018","https://openalex.org/W2016606569","https://openalex.org/W2023834316","https://openalex.org/W2032475409","https://openalex.org/W2039999266","https://openalex.org/W2070570981","https://openalex.org/W2089621728","https://openalex.org/W2130944572","https://openalex.org/W2165278954","https://openalex.org/W2237342552","https://openalex.org/W2964197271","https://openalex.org/W2982703414","https://openalex.org/W3023068186","https://openalex.org/W3121437753","https://openalex.org/W4210418148","https://openalex.org/W4230867312","https://openalex.org/W6637984637"],"related_works":["https://openalex.org/W4376608589","https://openalex.org/W1537073411","https://openalex.org/W1948107826","https://openalex.org/W3138003926","https://openalex.org/W1630514295","https://openalex.org/W4300037846","https://openalex.org/W4288275998","https://openalex.org/W4312527695","https://openalex.org/W2952498147","https://openalex.org/W2372841500"],"abstract_inverted_index":{"In":[0],"this":[1],"article,":[2],"we":[3,41],"investigate":[4,92],"the":[5,36,74,93,110,124],"sensitivity":[6,19,59,75,94,113],"complexity":[7,20,76,95,114],"of":[8,38,69,77,96,106,126],"hypergraph":[9,16,56,80],"properties.":[10],"We":[11,90],"present":[12],"a":[13,53,67],"k":[14,29,46,54,78],"-uniform":[15,55,79],"property":[17,57],"with":[18,58],"O":[21,60,117],"(":[22,86],"n":[23,34,87],"(\u2308":[24],"k/3":[25,62],"\u2309)":[26],"for":[27,103],"any":[28],"\u2265":[30],"3":[31],",":[32],"where":[33,121],"is":[35,82,123],"number":[37,125],"vertices.":[39],"Moreover,":[40],"can":[42,115],"do":[43],"better":[44],"when":[45],"\u2261":[47],"1":[48],"(mod":[49],"3)":[50],"by":[51],"presenting":[52],"(n\u2308":[61],"\u2309-1/2).":[63],"This":[64],"result":[65],"disproves":[66],"conjecture":[68],"Babai,":[70],"which":[71],"conjectures":[72],"that":[73,102],"properties":[81],"at":[83],"least":[84],"\u03a9":[85],"k/2":[88],").":[89],"also":[91],"other":[97],"symmetric":[98],"functions":[99,109],"and":[100],"show":[101],"many":[104],"classes":[105],"transitive":[107],"Boolean":[108],"minimum":[111],"achievable":[112],"be":[116],"(N":[118],"1/3":[119],"),":[120],"N":[122],"variables.":[127]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}