{"id":"https://openalex.org/W2963009602","doi":"https://doi.org/10.1142/s0218196716500600","title":"Complexity and polymorphisms for digraph constraint problems under some basic constructions","display_name":"Complexity and polymorphisms for digraph constraint problems under some basic constructions","publication_year":2016,"publication_date":"2016-09-14","ids":{"openalex":"https://openalex.org/W2963009602","doi":"https://doi.org/10.1142/s0218196716500600","mag":"2963009602"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196716500600","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1304.4986","any_repository_has_fulltext":true},"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":"funder","lineage":["https://openalex.org/I196829312"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Marcel Jackson","raw_affiliation_strings":["School of Engineering and Mathematical Sciences, La Trobe University, VIC 3086, Australia"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Mathematical Sciences, La Trobe University, VIC 3086, Australia","institution_ids":["https://openalex.org/I196829312"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053842643","display_name":"Tomasz Kowalski","orcid":"https://orcid.org/0000-0003-3095-4043"},"institutions":[{"id":"https://openalex.org/I196829312","display_name":"La Trobe University","ror":"https://ror.org/01rxfrp27","country_code":"AU","type":"funder","lineage":["https://openalex.org/I196829312"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Tomasz Kowalski","raw_affiliation_strings":["School of Engineering and Mathematical Sciences, La Trobe University, VIC 3086, Australia"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Mathematical Sciences, La Trobe University, VIC 3086, Australia","institution_ids":["https://openalex.org/I196829312"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089784010","display_name":"Todd Niven","orcid":null},"institutions":[{"id":"https://openalex.org/I196829312","display_name":"La Trobe University","ror":"https://ror.org/01rxfrp27","country_code":"AU","type":"funder","lineage":["https://openalex.org/I196829312"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Todd Niven","raw_affiliation_strings":["School of Engineering and Mathematical Sciences, La Trobe University, VIC 3086, Australia"],"affiliations":[{"raw_affiliation_string":"School of Engineering and Mathematical Sciences, La Trobe University, VIC 3086, Australia","institution_ids":["https://openalex.org/I196829312"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.131,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.77487,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":84,"max":85},"biblio":{"volume":"26","issue":"07","first_page":"1395","last_page":"1433"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998,"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":0.9998,"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":0.9949,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.988,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.7929456}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.80513024},{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.7929456},{"id":"https://openalex.org/C199622910","wikidata":"https://www.wikidata.org/wiki/Q1128326","display_name":"Constraint satisfaction problem","level":3,"score":0.71379393},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5223361},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.52192354},{"id":"https://openalex.org/C132180345","wikidata":"https://www.wikidata.org/wiki/Q5156628","display_name":"Complexity of constraint satisfaction","level":5,"score":0.45696324},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39718398},{"id":"https://openalex.org/C137105694","wikidata":"https://www.wikidata.org/wiki/Q3407510","display_name":"Local consistency","level":4,"score":0.34881756},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196716500600","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_indexed_in_scopus":true,"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":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1304.4986","pdf_url":"https://arxiv.org/pdf/1304.4986","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1304.4986","pdf_url":"https://arxiv.org/pdf/1304.4986","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_indexed_in_scopus":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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":42,"referenced_works":["https://openalex.org/W1524176804","https://openalex.org/W1791050365","https://openalex.org/W1796497853","https://openalex.org/W1976017655","https://openalex.org/W1976525036","https://openalex.org/W1976991254","https://openalex.org/W1978292808","https://openalex.org/W1982752981","https://openalex.org/W1984074081","https://openalex.org/W1987386540","https://openalex.org/W1988961015","https://openalex.org/W1997649256","https://openalex.org/W2001101327","https://openalex.org/W2009379153","https://openalex.org/W2020154454","https://openalex.org/W2021238854","https://openalex.org/W2025319967","https://openalex.org/W2026753685","https://openalex.org/W2027524199","https://openalex.org/W2028556486","https://openalex.org/W2032487621","https://openalex.org/W2036553843","https://openalex.org/W2042426573","https://openalex.org/W2051731147","https://openalex.org/W2052726983","https://openalex.org/W2053204108","https://openalex.org/W2073159267","https://openalex.org/W2077575555","https://openalex.org/W2084214245","https://openalex.org/W2095206903","https://openalex.org/W2099602798","https://openalex.org/W2102459557","https://openalex.org/W2150339067","https://openalex.org/W2318083694","https://openalex.org/W2583206604","https://openalex.org/W3098119307","https://openalex.org/W3105924413","https://openalex.org/W4213009134","https://openalex.org/W4213300915","https://openalex.org/W4236835455","https://openalex.org/W655258421","https://openalex.org/W929955757"],"related_works":["https://openalex.org/W4233086747","https://openalex.org/W2906226597","https://openalex.org/W2784687883","https://openalex.org/W2766016802","https://openalex.org/W2737098235","https://openalex.org/W2724280655","https://openalex.org/W2569549435","https://openalex.org/W2559806093","https://openalex.org/W2091348864","https://openalex.org/W2012694101"],"abstract_inverted_index":{"The":[0,101],"role":[1],"of":[2,8,22,43,88,108],"polymorphisms":[3],"in":[4,40],"determining":[5],"the":[6,20,41,59,65,86,109],"complexity":[7,24],"constraint":[9],"satisfaction":[10],"problems":[11],"is":[12,62,74,118],"well":[13],"established.":[14],"In":[15],"this":[16],"context,":[17],"we":[18,36,83],"study":[19],"stability":[21],"CSP":[23,61],"and":[25,55,70,91],"polymorphism":[26,111],"properties":[27,112],"under":[28,98],"some":[29],"basic":[30],"graph":[31],"theoretic":[32],"constructions.":[33],"As":[34],"applications":[35],"observe":[37],"a":[38,52,56,77,105,119],"collapse":[39],"applicability":[42],"algorithms":[44],"for":[45,113],"CSPs":[46],"over":[47],"directed":[48],"graphs":[49],"with":[50],"both":[51],"total":[53,57],"source":[54],"sink:":[58],"corresponding":[60],"solvable":[63,75],"by":[64,76,93],"\u201cfew":[66],"subpowers":[67,95],"algorithm\u201d":[68],"if":[69,72],"only":[71],"it":[73],"local":[78],"consistency":[79],"check":[80],"algorithm.":[81],"Moreover,":[82],"find":[84],"that":[85],"property":[87],"\u201cstrict":[89],"width\u201d":[90],"solvability":[92],"few":[94],"are":[96],"unstable":[97],"first-order":[99],"reductions.":[100],"analysis":[102],"also":[103],"yields":[104],"complete":[106,120],"characterization":[107],"main":[110],"digraphs":[114],"whose":[115],"symmetric":[116],"closure":[117],"graph.":[121]},"abstract_inverted_index_v3":null,"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2963009602","counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2025-03-16T17:31:37.301271","created_date":"2019-07-30"}