{"id":"https://openalex.org/W3023630700","doi":"https://doi.org/10.1145/3357713.3384328","title":"A robust version of Hegedus\u2019s lemma, with applications","display_name":"A robust version of Hegedus\u2019s lemma, with applications","publication_year":2020,"publication_date":"2020-06-07","ids":{"openalex":"https://openalex.org/W3023630700","doi":"https://doi.org/10.1145/3357713.3384328","mag":"3023630700"},"language":"en","primary_location":{"id":"doi:10.1145/3357713.3384328","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3357713.3384328","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2202.04982","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025305994","display_name":"Srikanth Srinivasan","orcid":"https://orcid.org/0000-0001-6491-124X"},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Srikanth Srinivasan","raw_affiliation_strings":["IIT Bombay, India"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IIT Bombay, India","institution_ids":["https://openalex.org/I162827531"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025305994"],"corresponding_institution_ids":["https://openalex.org/I162827531"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06315789,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":null,"first_page":"1349","last_page":"1362"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.879800021648407,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.879800021648407,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10130","display_name":"Mathematics Education and Teaching Techniques","score":0.8720999956130981,"subfield":{"id":"https://openalex.org/subfields/3304","display_name":"Education"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.46534785628318787},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41233348846435547},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41187116503715515},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.36728447675704956}],"concepts":[{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.46534785628318787},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41233348846435547},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41187116503715515},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.36728447675704956},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","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/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1145/3357713.3384328","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3357713.3384328","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},{"id":"doi:10.48550/arxiv.2202.04982","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2202.04982","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"mag:3023630700","is_oa":false,"landing_page_url":"https://dblp.uni-trier.de/db/journals/eccc/eccc27.html#Srinivasan20","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Electron. Colloquium Comput. Complex.","raw_type":null}],"best_oa_location":{"id":"doi:10.48550/arxiv.2202.04982","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2202.04982","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":42,"referenced_works":["https://openalex.org/W1430582609","https://openalex.org/W1517311456","https://openalex.org/W1973652235","https://openalex.org/W1984108045","https://openalex.org/W2008470071","https://openalex.org/W2009994177","https://openalex.org/W2018202033","https://openalex.org/W2026944800","https://openalex.org/W2027665018","https://openalex.org/W2036447017","https://openalex.org/W2037454942","https://openalex.org/W2042194938","https://openalex.org/W2044630009","https://openalex.org/W2070678975","https://openalex.org/W2083820240","https://openalex.org/W2110503949","https://openalex.org/W2127558904","https://openalex.org/W2134380705","https://openalex.org/W2142610181","https://openalex.org/W2161519549","https://openalex.org/W2173078028","https://openalex.org/W2531652110","https://openalex.org/W2559529531","https://openalex.org/W2592377845","https://openalex.org/W2611287588","https://openalex.org/W2891222834","https://openalex.org/W2897992026","https://openalex.org/W2898839814","https://openalex.org/W2911869889","https://openalex.org/W2928023715","https://openalex.org/W2962756270","https://openalex.org/W2963154509","https://openalex.org/W2963188610","https://openalex.org/W2963631653","https://openalex.org/W2966418478","https://openalex.org/W2978625405","https://openalex.org/W2979867979","https://openalex.org/W4241657494","https://openalex.org/W4289143660","https://openalex.org/W6607547937","https://openalex.org/W6763347300","https://openalex.org/W6765965822"],"related_works":["https://openalex.org/W2183500423","https://openalex.org/W281488709","https://openalex.org/W2038447833","https://openalex.org/W2949964783","https://openalex.org/W2540888839","https://openalex.org/W3193417810","https://openalex.org/W374779982","https://openalex.org/W3117716038","https://openalex.org/W2333075109","https://openalex.org/W980233520","https://openalex.org/W2353240998","https://openalex.org/W2949943566","https://openalex.org/W2600631766","https://openalex.org/W2495208172","https://openalex.org/W2146187364","https://openalex.org/W2388943681","https://openalex.org/W155889334","https://openalex.org/W48399366","https://openalex.org/W2886956959","https://openalex.org/W2387827566"],"abstract_inverted_index":{"Heged\u0171s\u2019s":[0,137],"lemma":[1,29,73,169],"is":[2],"the":[3,28,100,172],"following":[4,173],"combinatorial":[5],"statement":[6],"regarding":[7],"polynomials":[8],"over":[9],"finite":[10],"fields.":[11],"Over":[12],"a":[13,24,81,133,145],"field":[14],"F":[15],"of":[16,26,40,53,67,136,147,154,163],"characteristic":[17],"p":[18],">":[19],"0":[20],"and":[21,95,106,111,170],"for":[22,123],"q":[23,44],"power":[25],"p,":[27],"says":[30,142],"that":[31,45,143],"any":[32],"multilinear":[33,102],"polynomial":[34,146],"P\u2208":[35],"F[x":[36],"1,\u2026,x":[37],"n":[38,52,66],"]":[39],"degree":[41,148],"less":[42],"than":[43],"vanishes":[46,150,159],"at":[47,61,151,160],"all":[48,62],"points":[49,63,153,162],"in":[50,64],"{0,1}":[51,65],"Hamming":[54],"weight":[55,68,155,164],"k\u2208":[56],"[q,n\u2212q]":[57],"must":[58],"also":[59],"vanish":[60],"k":[69],"+":[70],"q.":[71],"This":[72],"was":[74],"used":[75],"by":[76,92,107],"Heged\u0171s":[77],"(2009)":[78],"to":[79,83,98,114],"give":[80,171],"solution":[82],"Galvin\u2019s":[84],"problem,":[85],"an":[86],"extremal":[87],"problem":[88],"about":[89],"set":[90],"systems;":[91],"Alon,":[93],"Kumar":[94],"Volk":[96],"(2018)":[97],"improve":[99],"best-known":[101],"circuit":[103],"lower":[104,117],"bounds;":[105],"Hrube\u0161,":[108],"Ramamoorthy,":[109],"Rao":[110],"Yehudayoff":[112],"(2019)":[113],"prove":[115,167],"optimal":[116],"bounds":[118],"against":[119],"depth-2":[120],"threshold":[121],"circuits":[122],"computing":[124],"some":[125],"symmetric":[126],"functions.":[127],"In":[128],"this":[129,140,168],"paper,":[130],"we":[131],"formulate":[132],"robust":[134],"version":[135,141],"lemma.":[138],"Informally,":[139],"if":[144],"o(q)":[149],"most":[152],"k,":[156],"then":[157],"it":[158],"many":[161],"k+q.":[165],"We":[166],"three":[174],"different":[175],"applications.":[176]},"counts_by_year":[],"updated_date":"2026-07-30T17:31:21.811387","created_date":"2025-10-10T00:00:00"}
