{"id":"https://openalex.org/W2151577278","doi":"https://doi.org/10.1145/2540090","title":"Robust Satisfiability for CSPs","display_name":"Robust Satisfiability for CSPs","publication_year":2013,"publication_date":"2013-11-01","ids":{"openalex":"https://openalex.org/W2151577278","doi":"https://doi.org/10.1145/2540090","mag":"2151577278"},"language":"en","primary_location":{"id":"doi:10.1145/2540090","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2540090","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":true,"oa_status":"green","oa_url":"https://durham-repository.worktribe.com/output/1427938","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057975755","display_name":"V\u00edctor Dalmau","orcid":"https://orcid.org/0000-0002-9365-7372"},"institutions":[{"id":"https://openalex.org/I170486558","display_name":"Universitat Pompeu Fabra","ror":"https://ror.org/04n0g0b29","country_code":"ES","type":"education","lineage":["https://openalex.org/I170486558"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"V\u00edctor Dalmau","raw_affiliation_strings":["University Pompeu Fabra"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University Pompeu Fabra","institution_ids":["https://openalex.org/I170486558"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003558662","display_name":"Andrei Krokhin","orcid":"https://orcid.org/0000-0003-4373-8227"},"institutions":[{"id":"https://openalex.org/I190082696","display_name":"Durham University","ror":"https://ror.org/01v29qb04","country_code":"GB","type":"education","lineage":["https://openalex.org/I190082696"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Andrei Krokhin","raw_affiliation_strings":["Durham University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Durham University","institution_ids":["https://openalex.org/I190082696"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.9885,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.956738,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"5","issue":"4","first_page":"1","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9983999729156494,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9970999956130981,"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/constraint-satisfaction-problem","display_name":"Constraint satisfaction problem","score":0.8028106689453125},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.6706348061561584},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6311963200569153},{"id":"https://openalex.org/keywords/constraint-satisfaction","display_name":"Constraint satisfaction","score":0.5775207281112671},{"id":"https://openalex.org/keywords/fraction","display_name":"Fraction (chemistry)","score":0.5750448703765869},{"id":"https://openalex.org/keywords/boolean-satisfiability-problem","display_name":"Boolean satisfiability problem","score":0.5591936707496643},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5534918308258057},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5486798882484436},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47881752252578735},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.46450042724609375},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3236629366874695}],"concepts":[{"id":"https://openalex.org/C199622910","wikidata":"https://www.wikidata.org/wiki/Q1128326","display_name":"Constraint satisfaction problem","level":3,"score":0.8028106689453125},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.6706348061561584},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6311963200569153},{"id":"https://openalex.org/C44616089","wikidata":"https://www.wikidata.org/wiki/Q30158686","display_name":"Constraint satisfaction","level":3,"score":0.5775207281112671},{"id":"https://openalex.org/C149629883","wikidata":"https://www.wikidata.org/wiki/Q660926","display_name":"Fraction (chemistry)","level":2,"score":0.5750448703765869},{"id":"https://openalex.org/C6943359","wikidata":"https://www.wikidata.org/wiki/Q875276","display_name":"Boolean satisfiability problem","level":2,"score":0.5591936707496643},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5534918308258057},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5486798882484436},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47881752252578735},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.46450042724609375},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3236629366874695},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"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":3,"locations":[{"id":"doi:10.1145/2540090","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2540090","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"},{"id":"pmh:oai:dro.dur.ac.uk.OAI2:12625","is_oa":false,"landing_page_url":"http://dro.dur.ac.uk/12625/","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"ACM transactions on computation theory, 2013, Vol.5(4), pp.15 [Peer Reviewed Journal]","raw_type":"Article"},{"id":"pmh:oai:durham-repository.worktribe.com:1427938","is_oa":true,"landing_page_url":"https://durham-repository.worktribe.com/output/1427938","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:durham-repository.worktribe.com:1427938","is_oa":true,"landing_page_url":"https://durham-repository.worktribe.com/output/1427938","pdf_url":null,"source":{"id":"https://openalex.org/S4306400188","display_name":"Durham Research Online (Durham University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I190082696","host_organization_name":"Durham University","host_organization_lineage":["https://openalex.org/I190082696"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},"sustainable_development_goals":[{"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8","score":0.4099999964237213}],"awards":[{"id":"https://openalex.org/G1455491505","display_name":null,"funder_award_id":"TIN 2010-20967-C04-02","funder_id":"https://openalex.org/F4320322930","funder_display_name":"Ministerio de Ciencia e Innovaci\u00f3n"},{"id":"https://openalex.org/G2750128099","display_name":"Robustly Tractable Constraint Satisfaction Problems","funder_award_id":"EP/J000078/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G6177354237","display_name":null,"funder_award_id":"EP/J000078/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320322930","display_name":"Ministerio de Ciencia e Innovaci\u00f3n","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":59,"referenced_works":["https://openalex.org/W331230322","https://openalex.org/W1486752157","https://openalex.org/W1500907847","https://openalex.org/W1511747486","https://openalex.org/W1524176804","https://openalex.org/W1527197079","https://openalex.org/W1561372264","https://openalex.org/W1562734116","https://openalex.org/W1570219696","https://openalex.org/W1571096293","https://openalex.org/W1571873445","https://openalex.org/W1577492601","https://openalex.org/W1964729600","https://openalex.org/W1974691224","https://openalex.org/W1979119667","https://openalex.org/W1979388565","https://openalex.org/W1980530521","https://openalex.org/W1986537785","https://openalex.org/W1988961015","https://openalex.org/W1996330905","https://openalex.org/W1997649256","https://openalex.org/W1999032440","https://openalex.org/W2018470381","https://openalex.org/W2023648368","https://openalex.org/W2026745535","https://openalex.org/W2026753685","https://openalex.org/W2027524199","https://openalex.org/W2032487621","https://openalex.org/W2038691311","https://openalex.org/W2053204108","https://openalex.org/W2055594915","https://openalex.org/W2063711222","https://openalex.org/W2071035573","https://openalex.org/W2087038607","https://openalex.org/W2091694652","https://openalex.org/W2094135928","https://openalex.org/W2110871651","https://openalex.org/W2111739159","https://openalex.org/W2114448228","https://openalex.org/W2120358419","https://openalex.org/W2124452950","https://openalex.org/W2138857669","https://openalex.org/W2149922426","https://openalex.org/W2150339067","https://openalex.org/W2155683758","https://openalex.org/W2159738186","https://openalex.org/W2163925208","https://openalex.org/W2172286136","https://openalex.org/W2476775726","https://openalex.org/W2611404581","https://openalex.org/W2621263703","https://openalex.org/W3104030884","https://openalex.org/W4205529794","https://openalex.org/W4254380579","https://openalex.org/W4293176479","https://openalex.org/W4298227433","https://openalex.org/W6630084544","https://openalex.org/W6631183537","https://openalex.org/W6655024738"],"related_works":["https://openalex.org/W2161128834","https://openalex.org/W2091348864","https://openalex.org/W2569549435","https://openalex.org/W2097415053","https://openalex.org/W2012141606","https://openalex.org/W1550482496","https://openalex.org/W2322595442","https://openalex.org/W2784687883","https://openalex.org/W4243835908","https://openalex.org/W2017695771"],"abstract_inverted_index":{"An":[0],"algorithm":[1,78,106],"for":[2,27,69,121,145],"a":[3,18,39,83,135,142],"constraint":[4,71],"satisfaction":[5,72],"problem":[6],"is":[7,110],"called":[8],"robust":[9,77,105,139],"if":[10],"it":[11],"outputs":[12],"an":[13,66,75,103],"assignment":[14],"satisfying":[15],"at":[16,37],"least":[17],"(1":[19,29],"\u2212":[20,30],"f":[21,54,81,109,144],"(":[22,55,117,128],"\u03b5":[23,31,40,56,61,114,118,129],"))-fraction":[24],"of":[25,42,82,100,138],"constraints":[26,43],"each":[28],")-satisfiable":[32],"instance":[33,51],"(i.e.,":[34],"such":[35,107],"that":[36,108],"most":[38],"-fraction":[41],"needs":[44],"to":[45,48,91],"be":[46],"removed":[47],"make":[49],"the":[50,146],"satisfiable),":[52],"where":[53],")":[57,120],"\u2192":[58,62],"0":[59],"as":[60],"0.":[63],"We":[64,87,95],"establish":[65],"algebraic":[67],"framework":[68,90],"analyzing":[70],"problems":[73,101],"admitting":[74,102],"efficient":[76,104],"with":[79,141],"functions":[80],"given":[84,143],"growth":[85],"rate.":[86],"use":[88],"this":[89],"derive":[92],"hardness":[93],"results.":[94],"also":[96],"describe":[97],"three":[98],"classes":[99],"O":[111,116,127],"(1/log":[112],"(1/":[113],")),":[115],"1/k":[119],"some":[122],"k":[123],"&gt;":[124],"1,":[125],"and":[126],"),":[130],"respectively.":[131],"Finally,":[132],"we":[133],"give":[134],"complete":[136],"classification":[137],"satisfiability":[140],"Boolean":[147],"case.":[148]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2016-06-24T00:00:00"}
