{"id":"https://openalex.org/W4249393729","doi":"https://doi.org/10.1137/130914784","title":"Graphs Admitting $k$-NU Operations. Part 2: The Irreflexive Case","display_name":"Graphs Admitting $k$-NU Operations. Part 2: The Irreflexive Case","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W4249393729","doi":"https://doi.org/10.1137/130914784"},"language":"en","primary_location":{"id":"doi:10.1137/130914784","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130914784","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5109192583","display_name":"Tom\u00e1s Feder","orcid":null},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]},{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]},{"id":"https://openalex.org/I51768193","display_name":"Royal Military College of Canada","ror":"https://ror.org/04yr71909","country_code":"CA","type":"education","lineage":["https://openalex.org/I51768193"]},{"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":["CA","KR"],"is_corresponding":true,"raw_author_name":"Tom\u00e1s Feder","raw_affiliation_strings":["Department of Mathematics and Computer Science, Royal Military College of Canada, PO Box 17000 Station \"Forces\", Kingston, Ontario, Canada, K7K 7B4","School of Computing Science, Simon Fraser University, Burnaby, B.C., Canada V5A 1S6","College of Natural Sciences, Kyungpook National University, Daegu 702-701, South Korea","Department of Mathematics and Statistics, Concordia University, 1455 de Maison-neuve West, Montr\u00e9al, Qc, Canada, H3G 1M8"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Royal Military College of Canada, PO Box 17000 Station \"Forces\", Kingston, Ontario, Canada, K7K 7B4","institution_ids":["https://openalex.org/I51768193"]},{"raw_affiliation_string":"School of Computing Science, Simon Fraser University, Burnaby, B.C., Canada V5A 1S6","institution_ids":["https://openalex.org/I18014758"]},{"raw_affiliation_string":"College of Natural Sciences, Kyungpook National University, Daegu 702-701, South Korea","institution_ids":["https://openalex.org/I31419693"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Concordia University, 1455 de Maison-neuve West, Montr\u00e9al, Qc, Canada, H3G 1M8","institution_ids":["https://openalex.org/I60158472"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075416144","display_name":"Pavol Hell","orcid":"https://orcid.org/0000-0001-7609-9746"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Pavol Hell","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016192081","display_name":"Beno\u00eet Larose","orcid":null},"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"]},{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]},{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]},{"id":"https://openalex.org/I51768193","display_name":"Royal Military College of Canada","ror":"https://ror.org/04yr71909","country_code":"CA","type":"education","lineage":["https://openalex.org/I51768193"]}],"countries":["CA","KR"],"is_corresponding":false,"raw_author_name":"Beno\u00eet Larose","raw_affiliation_strings":["Department of Mathematics and Computer Science, Royal Military College of Canada, PO Box 17000 Station \"Forces\", Kingston, Ontario, Canada, K7K 7B4","School of Computing Science, Simon Fraser University, Burnaby, B.C., Canada V5A 1S6","College of Natural Sciences, Kyungpook National University, Daegu 702-701, South Korea","Department of Mathematics and Statistics, Concordia University, 1455 de Maison-neuve West, Montr\u00e9al, Qc, Canada, H3G 1M8"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Royal Military College of Canada, PO Box 17000 Station \"Forces\", Kingston, Ontario, Canada, K7K 7B4","institution_ids":["https://openalex.org/I51768193"]},{"raw_affiliation_string":"School of Computing Science, Simon Fraser University, Burnaby, B.C., Canada V5A 1S6","institution_ids":["https://openalex.org/I18014758"]},{"raw_affiliation_string":"College of Natural Sciences, Kyungpook National University, Daegu 702-701, South Korea","institution_ids":["https://openalex.org/I31419693"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Concordia University, 1455 de Maison-neuve West, Montr\u00e9al, Qc, Canada, H3G 1M8","institution_ids":["https://openalex.org/I60158472"]}]},{"author_position":"middle","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"]},{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]},{"id":"https://openalex.org/I51768193","display_name":"Royal Military College of Canada","ror":"https://ror.org/04yr71909","country_code":"CA","type":"education","lineage":["https://openalex.org/I51768193"]},{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA","KR"],"is_corresponding":false,"raw_author_name":"Mark Siggers","raw_affiliation_strings":["Department of Mathematics and Computer Science, Royal Military College of Canada, PO Box 17000 Station \"Forces\", Kingston, Ontario, Canada, K7K 7B4","School of Computing Science, Simon Fraser University, Burnaby, B.C., Canada V5A 1S6","Department of Mathematics and Statistics, Concordia University, 1455 de Maison-neuve West, Montr\u00e9al, Qc, Canada, H3G 1M8","College of Natural Sciences, Kyungpook National University, Daegu 702-701, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Royal Military College of Canada, PO Box 17000 Station \"Forces\", Kingston, Ontario, Canada, K7K 7B4","institution_ids":["https://openalex.org/I51768193"]},{"raw_affiliation_string":"School of Computing Science, Simon Fraser University, Burnaby, B.C., Canada V5A 1S6","institution_ids":["https://openalex.org/I18014758"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Concordia University, 1455 de Maison-neuve West, Montr\u00e9al, Qc, Canada, H3G 1M8","institution_ids":["https://openalex.org/I60158472"]},{"raw_affiliation_string":"College of Natural Sciences, Kyungpook National University, Daegu 702-701, South Korea","institution_ids":["https://openalex.org/I31419693"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068136833","display_name":"Claude Tardif","orcid":"https://orcid.org/0000-0003-3855-989X"},"institutions":[{"id":"https://openalex.org/I51768193","display_name":"Royal Military College of Canada","ror":"https://ror.org/04yr71909","country_code":"CA","type":"education","lineage":["https://openalex.org/I51768193"]},{"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"]},{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]},{"id":"https://openalex.org/I60158472","display_name":"Concordia University","ror":"https://ror.org/0420zvk78","country_code":"CA","type":"education","lineage":["https://openalex.org/I60158472"]}],"countries":["CA","KR"],"is_corresponding":false,"raw_author_name":"Claude Tardif","raw_affiliation_strings":["College of Natural Sciences, Kyungpook National University, Daegu 702-701, South Korea","Department of Mathematics and Computer Science, Royal Military College of Canada, PO Box 17000 Station \"Forces\", Kingston, Ontario, Canada, K7K 7B4","Department of Mathematics and Statistics, Concordia University, 1455 de Maison-neuve West, Montr\u00e9al, Qc, Canada, H3G 1M8","School of Computing Science, Simon Fraser University, Burnaby, B.C., Canada V5A 1S6"],"affiliations":[{"raw_affiliation_string":"College of Natural Sciences, Kyungpook National University, Daegu 702-701, South Korea","institution_ids":["https://openalex.org/I31419693"]},{"raw_affiliation_string":"Department of Mathematics and Computer Science, Royal Military College of Canada, PO Box 17000 Station \"Forces\", Kingston, Ontario, Canada, K7K 7B4","institution_ids":["https://openalex.org/I51768193"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, Concordia University, 1455 de Maison-neuve West, Montr\u00e9al, Qc, Canada, H3G 1M8","institution_ids":["https://openalex.org/I60158472"]},{"raw_affiliation_string":"School of Computing Science, Simon Fraser University, Burnaby, B.C., Canada V5A 1S6","institution_ids":["https://openalex.org/I18014758"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5109192583"],"corresponding_institution_ids":["https://openalex.org/I18014758","https://openalex.org/I31419693","https://openalex.org/I51768193","https://openalex.org/I60158472"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.36424261,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"28","issue":"2","first_page":"817","last_page":"834"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9991999864578247,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9991999864578247,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9980000257492065,"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/T11567","display_name":"semigroups and automata theory","score":0.9962999820709229,"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/bipartite-graph","display_name":"Bipartite graph","score":0.8906462788581848},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8491261005401611},{"id":"https://openalex.org/keywords/digraph","display_name":"Digraph","score":0.8096513748168945},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7006537914276123},{"id":"https://openalex.org/keywords/dual-polyhedron","display_name":"Dual polyhedron","score":0.5945900678634644},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.444375216960907},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.29891151189804077}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.8906462788581848},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8491261005401611},{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.8096513748168945},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7006537914276123},{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.5945900678634644},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.444375216960907},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.29891151189804077}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/130914784","is_oa":false,"landing_page_url":"https://doi.org/10.1137/130914784","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth","score":0.44999998807907104}],"awards":[{"id":"https://openalex.org/G5864454811","display_name":null,"funder_award_id":"ERCCZ LL 1201","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"}],"funders":[{"id":"https://openalex.org/F4320321272","display_name":"Kyungpook National University","ror":"https://ror.org/040c17130"},{"id":"https://openalex.org/F4320321747","display_name":"Fonds Qu\u00e9b\u00e9cois de la Recherche sur la Nature et les Technologies","ror":"https://ror.org/00b9f9778"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1984264511","https://openalex.org/W1986537785","https://openalex.org/W1992517803","https://openalex.org/W2001521450","https://openalex.org/W2025238090","https://openalex.org/W2038074093","https://openalex.org/W2042043812","https://openalex.org/W2062791929","https://openalex.org/W2076955343"],"related_works":["https://openalex.org/W99690574","https://openalex.org/W2790788195","https://openalex.org/W2962785705","https://openalex.org/W4378505325","https://openalex.org/W2121104987","https://openalex.org/W4293584096","https://openalex.org/W2586280130","https://openalex.org/W4221143622","https://openalex.org/W4390409907","https://openalex.org/W1981723335"],"abstract_inverted_index":{"We":[0,41],"describe":[1],"a":[2,13,36,39,48,82],"generating":[3],"set":[4],"for":[5,47],"the":[6,44,70,77],"variety":[7,78],"of":[8,24,27,72,79],"simple":[9],"graphs":[10],"that":[11,43],"admit":[12],"$k$-ary":[14],"near-unanimity":[15],"(NU)":[16],"polymorphism.":[17,66,84],"The":[18],"result":[19,68],"follows":[20],"from":[21],"an":[22,64],"analysis":[23],"NU":[25,65],"polymorphisms":[26],"strongly":[28,49],"bipartite":[29,50],"digraphs,":[30],"i.e.,":[31],"whose":[32],"vertices":[33],"are":[34],"either":[35],"source":[37],"or":[38],"sink.":[40],"show":[42],"retraction":[45],"problem":[46],"digraph":[51],"${\\mathbb":[52,61],"H}$":[53,62],"has":[54],"finite":[55],"duality":[56],"if":[57,60],"and":[58],"only":[59],"admits":[63],"This":[67],"allows":[69],"use":[71],"tree":[73],"duals":[74],"to":[75],"generate":[76],"digraphs":[80],"admitting":[81],"$k$-NU":[83]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-13T16:22:10.518609","created_date":"2025-10-10T00:00:00"}