{"id":"https://openalex.org/W4376644557","doi":"https://doi.org/10.1007/s10601-023-09343-6","title":"Super-reparametrizations of weighted CSPs: properties and optimization perspective","display_name":"Super-reparametrizations of weighted CSPs: properties and optimization perspective","publication_year":2023,"publication_date":"2023-05-16","ids":{"openalex":"https://openalex.org/W4376644557","doi":"https://doi.org/10.1007/s10601-023-09343-6"},"language":"en","primary_location":{"id":"doi:10.1007/s10601-023-09343-6","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10601-023-09343-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10601-023-09343-6.pdf","source":{"id":"https://openalex.org/S75534514","display_name":"Constraints","issn_l":"1383-7133","issn":["1383-7133","1572-9354"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Constraints","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s10601-023-09343-6.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053960768","display_name":"Tom\u00e1\u0161 Dlask","orcid":"https://orcid.org/0000-0002-1944-6569"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":true,"raw_author_name":"Tom\u00e1\u0161 Dlask","raw_affiliation_strings":["Department of Cybernetics, Faculty of Electrical Engineering, Czech Technical University in Prague, Karlovo n\u00e1m\u011bst\u00ed 13, 12000, Prague, Czech Republic","CTU - Czech Technical University in Prague (\u010cesk\u00e9 vysok\u00e9 u\u010den\u00ed technick\u00e9 v Praze Zikova 1903/4 166 36 Praha 6 \u010cesk\u00e1 republika - Czech Republic)"],"raw_orcid":"https://orcid.org/0000-0002-1944-6569","affiliations":[{"raw_affiliation_string":"Department of Cybernetics, Faculty of Electrical Engineering, Czech Technical University in Prague, Karlovo n\u00e1m\u011bst\u00ed 13, 12000, Prague, Czech Republic","institution_ids":["https://openalex.org/I44504214"]},{"raw_affiliation_string":"CTU - Czech Technical University in Prague (\u010cesk\u00e9 vysok\u00e9 u\u010den\u00ed technick\u00e9 v Praze Zikova 1903/4 166 36 Praha 6 \u010cesk\u00e1 republika - Czech Republic)","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5020537156","display_name":"Tom\u00e1\u0161 Werner","orcid":"https://orcid.org/0000-0002-6161-7157"},"institutions":[{"id":"https://openalex.org/I44504214","display_name":"Czech Technical University in Prague","ror":"https://ror.org/03kqpb082","country_code":"CZ","type":"education","lineage":["https://openalex.org/I44504214"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Tom\u00e1\u0161 Werner","raw_affiliation_strings":["Department of Cybernetics, Faculty of Electrical Engineering, Czech Technical University in Prague, Karlovo n\u00e1m\u011bst\u00ed 13, 12000, Prague, Czech Republic","CTU - Czech Technical University in Prague (\u010cesk\u00e9 vysok\u00e9 u\u010den\u00ed technick\u00e9 v Praze Zikova 1903/4 166 36 Praha 6 \u010cesk\u00e1 republika - Czech Republic)"],"raw_orcid":"https://orcid.org/0000-0002-6161-7157","affiliations":[{"raw_affiliation_string":"Department of Cybernetics, Faculty of Electrical Engineering, Czech Technical University in Prague, Karlovo n\u00e1m\u011bst\u00ed 13, 12000, Prague, Czech Republic","institution_ids":["https://openalex.org/I44504214"]},{"raw_affiliation_string":"CTU - Czech Technical University in Prague (\u010cesk\u00e9 vysok\u00e9 u\u010den\u00ed technick\u00e9 v Praze Zikova 1903/4 166 36 Praha 6 \u010cesk\u00e1 republika - Czech Republic)","institution_ids":["https://openalex.org/I44504214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065436134","display_name":"Simon de Givry","orcid":"https://orcid.org/0000-0002-2242-0458"},"institutions":[{"id":"https://openalex.org/I4210088668","display_name":"Institut National de Recherche pour l'Agriculture, l'Alimentation et l'Environnement","ror":"https://ror.org/003vg9w96","country_code":"FR","type":"government","lineage":["https://openalex.org/I4210088668"]},{"id":"https://openalex.org/I4210102957","display_name":"D\u00e9partement math\u00e9matiques, informatique, sciences de la donn\u00e9e et technologies du num\u00e9rique","ror":"https://ror.org/011emb038","country_code":"FR","type":"facility","lineage":["https://openalex.org/I4210088668","https://openalex.org/I4210102957"]},{"id":"https://openalex.org/I4210154939","display_name":"G\u00e9n\u00e9tique Physiologie et Syst\u00e8mes d'Elevage","ror":"https://ror.org/04gg6ne93","country_code":"FR","type":"facility","lineage":["https://openalex.org/I176063091","https://openalex.org/I205747304","https://openalex.org/I4210088668","https://openalex.org/I4210117091","https://openalex.org/I4210131653","https://openalex.org/I4210154939"]},{"id":"https://openalex.org/I4387153087","display_name":"Math\u00e9matiques et Informatique Appliqu\u00e9es","ror":"https://ror.org/00780az30","country_code":null,"type":"facility","lineage":["https://openalex.org/I22248866","https://openalex.org/I277688954","https://openalex.org/I277688954","https://openalex.org/I4210088668","https://openalex.org/I4387153087"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Simon de Givry","raw_affiliation_strings":["Universit\u00e9 F\u00e9d\u00e9rale de Toulouse, ANITI, INRAE, UR 875, 31320, Castanet-Tolosan, France","MIAT INRAE - Unit\u00e9 de Math\u00e9matiques et Informatique Appliqu\u00e9es de Toulouse (Chemin de Borde Rouge, 31320 Castanet Tolosan - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse, ANITI, INRAE, UR 875, 31320, Castanet-Tolosan, France","institution_ids":["https://openalex.org/I4210154939","https://openalex.org/I4210088668"]},{"raw_affiliation_string":"MIAT INRAE - Unit\u00e9 de Math\u00e9matiques et Informatique Appliqu\u00e9es de Toulouse (Chemin de Borde Rouge, 31320 Castanet Tolosan - France)","institution_ids":["https://openalex.org/I4210088668","https://openalex.org/I4210102957","https://openalex.org/I4387153087"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053960768"],"corresponding_institution_ids":["https://openalex.org/I44504214"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.3784,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.58938668,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"28","issue":"2","first_page":"277","last_page":"319"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9994999766349792,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9994999766349792,"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/T10142","display_name":"Formal Methods in Verification","score":0.9203000068664551,"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/T11549","display_name":"Synthetic Organic Chemistry Methods","score":0.9050999879837036,"subfield":{"id":"https://openalex.org/subfields/1605","display_name":"Organic Chemistry"},"field":{"id":"https://openalex.org/fields/16","display_name":"Chemistry"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/benchmark","display_name":"Benchmark (surveying)","score":0.5422990322113037},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5322017073631287},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.532062828540802},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5058493614196777},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5011265277862549},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4788672626018524},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4693242907524109},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4367339611053467},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.20047709345817566},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.16414794325828552}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.5422990322113037},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5322017073631287},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.532062828540802},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5058493614196777},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5011265277862549},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4788672626018524},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4693242907524109},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4367339611053467},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.20047709345817566},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.16414794325828552},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10601-023-09343-6","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10601-023-09343-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10601-023-09343-6.pdf","source":{"id":"https://openalex.org/S75534514","display_name":"Constraints","issn_l":"1383-7133","issn":["1383-7133","1572-9354"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Constraints","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04297927v1","is_oa":true,"landing_page_url":"https://hal.inrae.fr/hal-04297927","pdf_url":"https://hal.inrae.fr/hal-04297927/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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":"Constraints, 2023, 28 (2), pp.277-319. &#x27E8;10.1007/s10601-023-09343-6&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"doi:10.1007/s10601-023-09343-6","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s10601-023-09343-6","pdf_url":"https://link.springer.com/content/pdf/10.1007/s10601-023-09343-6.pdf","source":{"id":"https://openalex.org/S75534514","display_name":"Constraints","issn_l":"1383-7133","issn":["1383-7133","1572-9354"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Constraints","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1099272732","display_name":null,"funder_award_id":"19-09967S","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G12500569","display_name":null,"funder_award_id":"CZ.02.1.01/0.0","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G1938070154","display_name":null,"funder_award_id":"ANR-19-P3IA-0004","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G2759202153","display_name":null,"funder_award_id":"CZ.02.1.01/0.0/0.0/16_019/0000765","funder_id":"https://openalex.org/F4320309972","funder_display_name":"\u010cesk\u00e9 Vysok\u00e9 U\u010den\u00ed Technick\u00e9 v Praze"},{"id":"https://openalex.org/G4131035492","display_name":null,"funder_award_id":"CZ.02.1.01","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G4140870163","display_name":null,"funder_award_id":"SGS19/170/OHK3/3T/13","funder_id":"https://openalex.org/F4320309972","funder_display_name":"\u010cesk\u00e9 Vysok\u00e9 U\u010den\u00ed Technick\u00e9 v Praze"},{"id":"https://openalex.org/G718049477","display_name":null,"funder_award_id":"CZ.02.1.01/0.0/0.0/16_019/0000765","funder_id":"https://openalex.org/F4320321005","funder_display_name":"Ministerstvo \u0160kolstv\u00ed, Ml\u00e1de\u017ee a T\u011blov\u00fdchovy"},{"id":"https://openalex.org/G8083513858","display_name":null,"funder_award_id":"16_019/0000765","funder_id":"https://openalex.org/F4320321006","funder_display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky"},{"id":"https://openalex.org/G8318455765","display_name":null,"funder_award_id":"ANR-19","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G895386116","display_name":null,"funder_award_id":"SGS22/061/OHK3/1T/13","funder_id":"https://openalex.org/F4320309972","funder_display_name":"\u010cesk\u00e9 Vysok\u00e9 U\u010den\u00ed Technick\u00e9 v Praze"}],"funders":[{"id":"https://openalex.org/F4320309972","display_name":"\u010cesk\u00e9 Vysok\u00e9 U\u010den\u00ed Technick\u00e9 v Praze","ror":"https://ror.org/03kqpb082"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"},{"id":"https://openalex.org/F4320321005","display_name":"Ministerstvo \u0160kolstv\u00ed, Ml\u00e1de\u017ee a T\u011blov\u00fdchovy","ror":"https://ror.org/037n8p820"},{"id":"https://openalex.org/F4320321006","display_name":"Grantov\u00e1 Agentura \u010cesk\u00e9 Republiky","ror":"https://ror.org/01pv73b02"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4376644557.pdf"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W46786713","https://openalex.org/W80602063","https://openalex.org/W190823963","https://openalex.org/W578709777","https://openalex.org/W1489604929","https://openalex.org/W1502653686","https://openalex.org/W1562908040","https://openalex.org/W1628148094","https://openalex.org/W1719051695","https://openalex.org/W1894390600","https://openalex.org/W1940999287","https://openalex.org/W1969069392","https://openalex.org/W1971861370","https://openalex.org/W1975605063","https://openalex.org/W1985756729","https://openalex.org/W1988443389","https://openalex.org/W2011617423","https://openalex.org/W2017942050","https://openalex.org/W2049771619","https://openalex.org/W2077885103","https://openalex.org/W2082935303","https://openalex.org/W2089850266","https://openalex.org/W2091644215","https://openalex.org/W2093397547","https://openalex.org/W2095366129","https://openalex.org/W2111291251","https://openalex.org/W2114605231","https://openalex.org/W2119456262","https://openalex.org/W2135414191","https://openalex.org/W2149474573","https://openalex.org/W2149615484","https://openalex.org/W2158863086","https://openalex.org/W2164918853","https://openalex.org/W2401610261","https://openalex.org/W2426452510","https://openalex.org/W2508609213","https://openalex.org/W2523377094","https://openalex.org/W2790891482","https://openalex.org/W2805411558","https://openalex.org/W2896904464","https://openalex.org/W2950298732","https://openalex.org/W2953428225","https://openalex.org/W3021409474","https://openalex.org/W3034758333","https://openalex.org/W3083066198","https://openalex.org/W3106137083","https://openalex.org/W3125756447","https://openalex.org/W3144153293","https://openalex.org/W3200171390","https://openalex.org/W4247530313","https://openalex.org/W4250589301","https://openalex.org/W4293052541","https://openalex.org/W4383620011","https://openalex.org/W6600284968","https://openalex.org/W6605359092","https://openalex.org/W6616805996","https://openalex.org/W6703462244"],"related_works":["https://openalex.org/W2378211422","https://openalex.org/W2745001401","https://openalex.org/W4321353415","https://openalex.org/W2130974462","https://openalex.org/W2028665553","https://openalex.org/W2086519370","https://openalex.org/W972276598","https://openalex.org/W2087343574","https://openalex.org/W4246352526","https://openalex.org/W2121910908"],"abstract_inverted_index":{"Abstract":[0],"The":[1,164],"notion":[2],"of":[3,5,14,37,42,71,74,81,96],"reparametrizations":[4],"Weighted":[6],"CSPs":[7],"(WCSPs)":[8],"(also":[9],"known":[10,136],"as":[11],"equivalence-preserving":[12],"transformations":[13],"WCSPs)":[15],"is":[16,108],"well-known":[17],"and":[18,76,150],"finds":[19],"its":[20],"use":[21],"in":[22,61,109,129,158],"many":[23,176],"algorithms":[24],"to":[25,79,112,122,134,153],"approximate":[26],"or":[27,47],"bound":[28],"the":[29,35,43,49,93,97,124,131,135,143,168],"optimal":[30,94],"WCSP":[31,50,101],"value.":[32],"In":[33],"contrast,":[34],"concept":[36],"super-reparametrizations":[38,75],"(which":[39],"are":[40,173],"changes":[41],"weights":[44],"that":[45,106,167],"keep":[46],"increase":[48],"objective":[51],"for":[52,88,145,175],"every":[53],"assignment)":[54],"was":[55],"already":[56],"proposed":[57],"but":[58],"never":[59],"studied":[60],"detail.":[62],"To":[63],"fill":[64],"this":[65],"gap,":[66],"we":[67,84],"present":[68],"a":[69,86,161],"number":[70],"theoretical":[72],"properties":[73],"compare":[77],"them":[78],"those":[80],"reparametrizations.":[82],"Furthermore,":[83],"propose":[85],"framework":[87],"computing":[89],"upper":[90],"bounds":[91,169],"on":[92,160],"value":[95],"(maximization":[98],"version":[99],"of)":[100],"using":[102],"super-reparametrizations.":[103],"We":[104,141],"show":[105,166],"it":[107,152],"principle":[110],"possible":[111],"employ":[113],"arbitrary":[114],"(under":[115],"some":[116],"technical":[117],"conditions)":[118],"constraint":[119],"propagation":[120],"rules":[121],"improve":[123],"bound.":[125],"For":[126],"arc":[127,147],"consistency":[128,148],"particular,":[130],"method":[132,144],"reduces":[133],"Virtual":[137],"AC":[138],"(VAC)":[139],"algorithm.":[140],"implemented":[142],"singleton":[146],"(SAC)":[149],"compared":[151],"other":[154],"strong":[155],"local":[156],"consistencies":[157],"WCSPs":[159],"public":[162],"benchmark.":[163],"results":[165],"obtained":[170],"from":[171],"SAC":[172],"superior":[174],"instance":[177],"groups.":[178]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}
