{"id":"https://openalex.org/W4410892294","doi":"https://doi.org/10.1142/s0218196725500225","title":"Flexible constraint satisfiability and a problem in semigroup theory","display_name":"Flexible constraint satisfiability and a problem in semigroup theory","publication_year":2025,"publication_date":"2025-05-30","ids":{"openalex":"https://openalex.org/W4410892294","doi":"https://doi.org/10.1142/s0218196725500225"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196725500225","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196725500225","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","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/A5032939431","display_name":"Marcel Jackson","orcid":"https://orcid.org/0000-0002-8149-1141"},"institutions":[{"id":"https://openalex.org/I196829312","display_name":"La Trobe University","ror":"https://ror.org/01rxfrp27","country_code":"AU","type":"education","lineage":["https://openalex.org/I196829312"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Marcel Jackson","raw_affiliation_strings":["Department of Mathematical and Physical Sciences, La Trobe University, Victoria 3086, Australia"],"raw_orcid":"https://orcid.org/0000-0002-8149-1141","affiliations":[{"raw_affiliation_string":"Department of Mathematical and Physical Sciences, La Trobe University, Victoria 3086, Australia","institution_ids":["https://openalex.org/I196829312"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5032939431"],"corresponding_institution_ids":["https://openalex.org/I196829312"],"apc_list":null,"apc_paid":null,"fwci":1.2108,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.80385954,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"35","issue":"06","first_page":"771","last_page":"821"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9997000098228455,"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":0.9997000098228455,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9969000220298767,"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":0.9873999953269958,"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":0.915709376335144},{"id":"https://openalex.org/keywords/semigroup","display_name":"Semigroup","score":0.7145403027534485},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5788701772689819},{"id":"https://openalex.org/keywords/satisfiability","display_name":"Satisfiability","score":0.5370337963104248},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4518716335296631},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4375078082084656},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2729673981666565}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.915709376335144},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.7145403027534485},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5788701772689819},{"id":"https://openalex.org/C168773769","wikidata":"https://www.wikidata.org/wiki/Q1350299","display_name":"Satisfiability","level":2,"score":0.5370337963104248},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4518716335296631},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4375078082084656},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2729673981666565},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196725500225","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196725500225","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":46,"referenced_works":["https://openalex.org/W1487875360","https://openalex.org/W1529501154","https://openalex.org/W1541076918","https://openalex.org/W1650993530","https://openalex.org/W1965301224","https://openalex.org/W1967939054","https://openalex.org/W1967998534","https://openalex.org/W1976933099","https://openalex.org/W1980258696","https://openalex.org/W1996912615","https://openalex.org/W2005496785","https://openalex.org/W2008752834","https://openalex.org/W2011854900","https://openalex.org/W2020158051","https://openalex.org/W2026679370","https://openalex.org/W2026753685","https://openalex.org/W2027524199","https://openalex.org/W2064349434","https://openalex.org/W2064411534","https://openalex.org/W2081065305","https://openalex.org/W2083563264","https://openalex.org/W2085634981","https://openalex.org/W2092520161","https://openalex.org/W2094925573","https://openalex.org/W2100848076","https://openalex.org/W2109782074","https://openalex.org/W2119456262","https://openalex.org/W2123724076","https://openalex.org/W2126946720","https://openalex.org/W2131820100","https://openalex.org/W2134331399","https://openalex.org/W2156111468","https://openalex.org/W2569415677","https://openalex.org/W2605361762","https://openalex.org/W2776885602","https://openalex.org/W2898776142","https://openalex.org/W2963887020","https://openalex.org/W3007452340","https://openalex.org/W3151528478","https://openalex.org/W3169949799","https://openalex.org/W4213197861","https://openalex.org/W4226138571","https://openalex.org/W4236835455","https://openalex.org/W4293176479","https://openalex.org/W4299651338","https://openalex.org/W4317565198"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4280588605","https://openalex.org/W3166760307","https://openalex.org/W2062894808","https://openalex.org/W2954681826","https://openalex.org/W2075335084","https://openalex.org/W3037419933","https://openalex.org/W44982509","https://openalex.org/W2952234674","https://openalex.org/W1543051890"],"abstract_inverted_index":{"In":[0,49],"this":[1,57],"paper,":[2],"we":[3,51],"examine":[4],"some":[5,12],"flexible":[6],"notions":[7,17],"of":[8,18,30,41,97],"constraint":[9],"satisfaction,":[10],"observing":[11],"relationships":[13],"between":[14],"model":[15],"theoretic":[16],"universal":[19],"Horn":[20],"class":[21],"membership":[22,47,75,95],"and":[23,59,87],"robust":[24],"satisfiability.":[25],"We":[26],"show":[27],"the":[28,68,79,94],"NP-completeness":[29],"2-robust":[31],"positive":[32],"1-in-3SAT":[33],"in":[34,100],"order":[35],"to":[36,90],"give":[37,52],"very":[38],"small":[39],"examples":[40],"finite":[42,98],"algebras":[43,99],"with":[44,56],"NP-hard":[45,73],"variety":[46,74],"problem.":[48,76],"particular,":[50],"a":[53,61,84,88],"3-element":[54],"algebra":[55,86],"property,":[58],"solve":[60],"widely":[62],"stated":[63],"problem":[64,96],"by":[65],"showing":[66],"that":[67],"6-element":[69],"Brandt":[70],"monoid":[71],"has":[72],"These":[77],"are":[78],"smallest":[80],"possible":[81],"sizes":[82],"for":[83,93],"general":[85],"semigroup":[89],"exhibit":[91],"NP-hardness":[92],"finitely":[101],"generated":[102],"varieties.":[103]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
