{"id":"https://openalex.org/W2896440510","doi":"https://doi.org/10.37236/6196","title":"Reflexive Graphs with Near Unanimity but no Semilattice Polymorphisms","display_name":"Reflexive Graphs with Near Unanimity but no Semilattice Polymorphisms","publication_year":2018,"publication_date":"2018-10-05","ids":{"openalex":"https://openalex.org/W2896440510","doi":"https://doi.org/10.37236/6196","mag":"2896440510"},"language":"en","primary_location":{"id":"doi:10.37236/6196","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6196","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v25i4p2/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v25i4p2/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068721384","display_name":"Mark Siggers","orcid":"https://orcid.org/0000-0001-7070-9021"},"institutions":[{"id":"https://openalex.org/I31419693","display_name":"Kyungpook National University","ror":"https://ror.org/040c17130","country_code":"KR","type":"education","lineage":["https://openalex.org/I31419693"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Mark Siggers","raw_affiliation_strings":["Kyungpook National University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kyungpook National University","institution_ids":["https://openalex.org/I31419693"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5068721384"],"corresponding_institution_ids":["https://openalex.org/I31419693"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16522223,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"4","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.994700014591217,"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":0.994700014591217,"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/T11703","display_name":"Rings, Modules, and Algebras","score":0.9807000160217285,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9602000117301941,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/unanimity","display_name":"Unanimity","score":0.9010899066925049},{"id":"https://openalex.org/keywords/semilattice","display_name":"Semilattice","score":0.8543587923049927},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6597599387168884},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6394519805908203},{"id":"https://openalex.org/keywords/variety","display_name":"Variety (cybernetics)","score":0.563992977142334},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3796600103378296},{"id":"https://openalex.org/keywords/political-science","display_name":"Political science","score":0.05459973216056824}],"concepts":[{"id":"https://openalex.org/C2781423480","wikidata":"https://www.wikidata.org/wiki/Q1309409","display_name":"Unanimity","level":2,"score":0.9010899066925049},{"id":"https://openalex.org/C132170107","wikidata":"https://www.wikidata.org/wiki/Q834585","display_name":"Semilattice","level":3,"score":0.8543587923049927},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6597599387168884},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6394519805908203},{"id":"https://openalex.org/C136197465","wikidata":"https://www.wikidata.org/wiki/Q1729295","display_name":"Variety (cybernetics)","level":2,"score":0.563992977142334},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3796600103378296},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.05459973216056824},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C207405024","wikidata":"https://www.wikidata.org/wiki/Q207348","display_name":"Semigroup","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/6196","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6196","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v25i4p2/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/6196","is_oa":true,"landing_page_url":"https://doi.org/10.37236/6196","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v25i4p2/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321272","display_name":"Kyungpook National University","ror":"https://ror.org/040c17130"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2896440510.pdf","grobid_xml":"https://content.openalex.org/works/W2896440510.grobid-xml"},"referenced_works_count":12,"referenced_works":["https://openalex.org/W2020048948","https://openalex.org/W2025238090","https://openalex.org/W2027966825","https://openalex.org/W2042043812","https://openalex.org/W2045479874","https://openalex.org/W2062791929","https://openalex.org/W2073159267","https://openalex.org/W2117616451","https://openalex.org/W2150339067","https://openalex.org/W2326367315","https://openalex.org/W2591988591","https://openalex.org/W6611554805"],"related_works":["https://openalex.org/W2761241146","https://openalex.org/W38030672","https://openalex.org/W2361273020","https://openalex.org/W2233435610","https://openalex.org/W4241255723","https://openalex.org/W3121450187","https://openalex.org/W2233592151","https://openalex.org/W1966164074","https://openalex.org/W2101212476","https://openalex.org/W2995281095"],"abstract_inverted_index":{"We":[0,23],"show":[1],"that":[2,37,47],"every":[3],"generator,":[4],"in":[5,35],"a":[6,20,26,29],"certain":[7],"set":[8],"of":[9,14,28,31,50,60],"generators":[10],"for":[11,44],"the":[12,48,58],"variety":[13,49,59],"reflexive":[15,45],"near":[16],"unanimity":[17],"graphs,":[18],"admits":[19],"semilattice":[21,40,53],"polymorphism.":[22,41],"then":[24],"find":[25],"retract":[27],"product":[30],"such":[32],"graphs":[33,46,51,61],"(paths,":[34],"fact)":[36],"has":[38],"no":[39],"This":[42],"verifies":[43],"with":[52,62],"polymorpisms":[54],"does":[55],"not":[56],"contain":[57],"near-unanimity,":[63],"or":[64],"even":[65],"$3$-ary":[66],"near-unanimity":[67],"polymorphisms.":[68]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
