{"id":"https://openalex.org/W1994368689","doi":"https://doi.org/10.1016/0097-3165(86)90087-7","title":"A dual form of Erd\u00f6s-Rado's canonization theorem","display_name":"A dual form of Erd\u00f6s-Rado's canonization theorem","publication_year":1986,"publication_date":"1986-07-01","ids":{"openalex":"https://openalex.org/W1994368689","doi":"https://doi.org/10.1016/0097-3165(86)90087-7","mag":"1994368689"},"language":"en","primary_location":{"id":"doi:10.1016/0097-3165(86)90087-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-3165(86)90087-7","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","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/A5072637221","display_name":"Hans J\u00fcrgen Pr\u00f6mel","orcid":null},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"H.J Pr\u00f6mel","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, 4800 Bielefeld 1, West Germany","Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, 4800 Bielefeld 1, West Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, 4800 Bielefeld 1, West Germany","institution_ids":["https://openalex.org/I20121455"]},{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, 4800 Bielefeld 1, West Germany#TAB#","institution_ids":["https://openalex.org/I20121455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110459430","display_name":"Stephen G. Simpson","orcid":null},"institutions":[{"id":"https://openalex.org/I130769515","display_name":"Pennsylvania State University","ror":"https://ror.org/04p491231","country_code":"US","type":"education","lineage":["https://openalex.org/I130769515"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S.G Simpson","raw_affiliation_strings":["Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802 USA","Department of Mathematics, Pennsylvania State University University Park, Pennsylvania 16802 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802 USA","institution_ids":["https://openalex.org/I130769515"]},{"raw_affiliation_string":"Department of Mathematics, Pennsylvania State University University Park, Pennsylvania 16802 USA","institution_ids":["https://openalex.org/I130769515"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072885257","display_name":"Bernd Voigt","orcid":null},"institutions":[{"id":"https://openalex.org/I20121455","display_name":"Bielefeld University","ror":"https://ror.org/02hpadn98","country_code":"DE","type":"education","lineage":["https://openalex.org/I20121455"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"B Voigt","raw_affiliation_strings":["Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, 4800 Bielefeld 1, West Germany","Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, 4800 Bielefeld 1, West Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, 4800 Bielefeld 1, West Germany","institution_ids":["https://openalex.org/I20121455"]},{"raw_affiliation_string":"Fakult\u00e4t f\u00fcr Mathematik, Universit\u00e4t Bielefeld, 4800 Bielefeld 1, West Germany#TAB#","institution_ids":["https://openalex.org/I20121455"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5072637221"],"corresponding_institution_ids":["https://openalex.org/I20121455"],"apc_list":{"value":3320,"currency":"USD","value_usd":3320},"apc_paid":null,"fwci":1.7009,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.77303989,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"42","issue":"2","first_page":"159","last_page":"178"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.9970999956130981,"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"}},{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9925000071525574,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/dual","display_name":"Dual (grammatical number)","score":0.7662627100944519},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6540894508361816},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5665092468261719},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38286158442497253},{"id":"https://openalex.org/keywords/art","display_name":"Art","score":0.1857532560825348},{"id":"https://openalex.org/keywords/literature","display_name":"Literature","score":0.07901102304458618}],"concepts":[{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.7662627100944519},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6540894508361816},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5665092468261719},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38286158442497253},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.1857532560825348},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.07901102304458618}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0097-3165(86)90087-7","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-3165(86)90087-7","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8592470740","display_name":null,"funder_award_id":"MCS 8107867","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W170265681","https://openalex.org/W1991777764","https://openalex.org/W1995105501","https://openalex.org/W1997681421","https://openalex.org/W1999853872","https://openalex.org/W2001665042","https://openalex.org/W2002353129","https://openalex.org/W2008719234","https://openalex.org/W2012678187","https://openalex.org/W2025649640","https://openalex.org/W2029200308","https://openalex.org/W2062450170","https://openalex.org/W2066486518","https://openalex.org/W2103257972","https://openalex.org/W2135756492","https://openalex.org/W2182181437","https://openalex.org/W2321280373","https://openalex.org/W2325179293","https://openalex.org/W4206049777","https://openalex.org/W4236058352","https://openalex.org/W6609045430","https://openalex.org/W6829137661"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}