{"id":"https://openalex.org/W2125534993","doi":"https://doi.org/10.1145/2488608.2488665","title":"Approximation resistance from pairwise independent subgroups","display_name":"Approximation resistance from pairwise independent subgroups","publication_year":2013,"publication_date":"2013-05-28","ids":{"openalex":"https://openalex.org/W2125534993","doi":"https://doi.org/10.1145/2488608.2488665","mag":"2125534993"},"language":"en","primary_location":{"id":"doi:10.1145/2488608.2488665","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2488608.2488665","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-fifth annual ACM symposium on Theory of Computing","raw_type":"proceedings-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/A5100856892","display_name":"Siu On Chan","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]},{"id":"https://openalex.org/I134446601","display_name":"Berkeley College","ror":"https://ror.org/02xewxa75","country_code":"US","type":"education","lineage":["https://openalex.org/I134446601"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Siu On Chan","raw_affiliation_strings":["UC Berkeley, Berkeley, CA, USA"],"affiliations":[{"raw_affiliation_string":"UC Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I134446601","https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5100856892"],"corresponding_institution_ids":["https://openalex.org/I134446601","https://openalex.org/I95457486"],"apc_list":null,"apc_paid":null,"fwci":18.1227,"has_fulltext":false,"cited_by_count":66,"citation_normalized_percentile":{"value":0.99534928,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"447","last_page":"456"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":1.0,"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":1.0,"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":0.9994000196456909,"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/T12288","display_name":"Optimization and Search Problems","score":0.9865000247955322,"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/mathematics","display_name":"Mathematics","score":0.7596682906150818},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.6801408529281616},{"id":"https://openalex.org/keywords/pairwise-independence","display_name":"Pairwise independence","score":0.6465659141540527},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.6074230670928955},{"id":"https://openalex.org/keywords/predicate","display_name":"Predicate (mathematical logic)","score":0.5611628890037537},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5467298626899719},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5340942740440369},{"id":"https://openalex.org/keywords/hardness-of-approximation","display_name":"Hardness of approximation","score":0.5273737907409668},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5178561210632324},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5010347366333008},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.24935391545295715},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11143407225608826},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.0787496566772461},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07446295022964478}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7596682906150818},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.6801408529281616},{"id":"https://openalex.org/C114928208","wikidata":"https://www.wikidata.org/wiki/Q17104952","display_name":"Pairwise independence","level":5,"score":0.6465659141540527},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.6074230670928955},{"id":"https://openalex.org/C140146324","wikidata":"https://www.wikidata.org/wiki/Q1144319","display_name":"Predicate (mathematical logic)","level":2,"score":0.5611628890037537},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5467298626899719},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5340942740440369},{"id":"https://openalex.org/C112955886","wikidata":"https://www.wikidata.org/wiki/Q5656275","display_name":"Hardness of approximation","level":3,"score":0.5273737907409668},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5178561210632324},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5010347366333008},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.24935391545295715},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11143407225608826},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.0787496566772461},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07446295022964478},{"id":"https://openalex.org/C182514268","wikidata":"https://www.wikidata.org/wiki/Q7636889","display_name":"Sum of normally distributed random variables","level":4,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C95763700","wikidata":"https://www.wikidata.org/wiki/Q578985","display_name":"Convergence of random variables","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2488608.2488665","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2488608.2488665","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-fifth annual ACM symposium on Theory of Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":85,"referenced_works":["https://openalex.org/W104282755","https://openalex.org/W105587991","https://openalex.org/W1491127810","https://openalex.org/W1501644705","https://openalex.org/W1530739071","https://openalex.org/W1559728639","https://openalex.org/W1576128767","https://openalex.org/W1582339485","https://openalex.org/W1586488998","https://openalex.org/W1805653176","https://openalex.org/W1846376331","https://openalex.org/W1859357731","https://openalex.org/W1868897294","https://openalex.org/W1936868491","https://openalex.org/W1967344706","https://openalex.org/W1967935161","https://openalex.org/W1968556476","https://openalex.org/W1970259241","https://openalex.org/W1971749164","https://openalex.org/W1972934214","https://openalex.org/W1973433258","https://openalex.org/W1973898585","https://openalex.org/W1979790324","https://openalex.org/W1980530521","https://openalex.org/W1990896327","https://openalex.org/W1992771184","https://openalex.org/W1995725694","https://openalex.org/W1999032440","https://openalex.org/W2001663593","https://openalex.org/W2002025272","https://openalex.org/W2002864099","https://openalex.org/W2034946612","https://openalex.org/W2040579873","https://openalex.org/W2044859592","https://openalex.org/W2045417786","https://openalex.org/W2048564574","https://openalex.org/W2052701473","https://openalex.org/W2055656009","https://openalex.org/W2055711302","https://openalex.org/W2058422149","https://openalex.org/W2063844956","https://openalex.org/W2073029179","https://openalex.org/W2078929687","https://openalex.org/W2081254453","https://openalex.org/W2086653003","https://openalex.org/W2087964954","https://openalex.org/W2091921997","https://openalex.org/W2095933180","https://openalex.org/W2096478102","https://openalex.org/W2097098285","https://openalex.org/W2097823813","https://openalex.org/W2098363469","https://openalex.org/W2102373437","https://openalex.org/W2106478922","https://openalex.org/W2107052785","https://openalex.org/W2107613637","https://openalex.org/W2110871651","https://openalex.org/W2111385661","https://openalex.org/W2112006606","https://openalex.org/W2118222703","https://openalex.org/W2120358419","https://openalex.org/W2121085314","https://openalex.org/W2129025918","https://openalex.org/W2132991500","https://openalex.org/W2152490496","https://openalex.org/W2153413398","https://openalex.org/W2156474636","https://openalex.org/W2159579504","https://openalex.org/W2162784288","https://openalex.org/W2163925208","https://openalex.org/W2165967486","https://openalex.org/W2170947046","https://openalex.org/W2177638926","https://openalex.org/W2179897858","https://openalex.org/W2185716868","https://openalex.org/W2218607027","https://openalex.org/W2294870549","https://openalex.org/W2401545996","https://openalex.org/W2610183793","https://openalex.org/W2621263703","https://openalex.org/W2950544775","https://openalex.org/W2953223971","https://openalex.org/W3102777411","https://openalex.org/W3150556231","https://openalex.org/W3217670380"],"related_works":["https://openalex.org/W2117280242","https://openalex.org/W2356627548","https://openalex.org/W3090381670","https://openalex.org/W2953163485","https://openalex.org/W2118324279","https://openalex.org/W4385492263","https://openalex.org/W2154297841","https://openalex.org/W2144910318","https://openalex.org/W2056664669","https://openalex.org/W2043607118"],"abstract_inverted_index":{"We":[0,32],"show":[1,33],"optimal":[2],"(up":[3],"to":[4],"constant":[5],"factor)":[6],"NP-hardness":[7,88],"for":[8,63],"Max-k-CSP":[9],"over":[10,29],"any":[11],"domain,":[12],"whenever":[13],"k":[14],"is":[15,37,46,73],"larger":[16],"than":[17],"the":[18,60,87],"domain":[19],"size.":[20],"This":[21,50],"follows":[22],"from":[23],"our":[24],"main":[25,71],"result":[26],"concerning":[27],"predicates":[28,64],"abelian":[30,67],"groups.":[31],"that":[34,45],"a":[35,43,74],"predicate":[36],"approximation":[38],"resistant":[39],"if":[40],"it":[41],"contains":[42],"subgroup":[44,68],"balanced":[47],"pairwise":[48],"independent.":[49],"gives":[51],"an":[52,66],"unconditional":[53],"analogue":[54],"of":[55,89],"Austrin--Mossel":[56],"hardness":[57],"result,":[58],"bypassing":[59],"Unique-Games":[61],"Conjecture":[62],"with":[65],"structure.":[69],"Our":[70],"ingredient":[72],"new":[75],"gap-amplification":[76],"technique":[77],"inspired":[78],"by":[79],"XOR-lemmas.":[80],"Using":[81],"this":[82],"technique,":[83],"we":[84],"also":[85],"improve":[86],"approximating":[90],"Independent-Set":[91],"on":[92],"bounded-degree":[93],"graphs,":[94],"Almost-Coloring,":[95],"Two-Prover-One-Round-Game,":[96],"and":[97],"various":[98],"other":[99],"problems.":[100]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":22},{"year":2014,"cited_by_count":14},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
