{"id":"https://openalex.org/W1983124852","doi":"https://doi.org/10.1002/rsa.3240030406","title":"A Canonical Ramsey Theorem","display_name":"A Canonical Ramsey Theorem","publication_year":1992,"publication_date":"1992-01-01","ids":{"openalex":"https://openalex.org/W1983124852","doi":"https://doi.org/10.1002/rsa.3240030406","mag":"1983124852"},"language":"en","primary_location":{"id":"doi:10.1002/rsa.3240030406","is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.3240030406","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures &amp; Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://digitalcommons.uri.edu/math_facpubs/124","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003031583","display_name":"Nancy Eaton","orcid":null},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Nancy Eaton","raw_affiliation_strings":["Department of Mathematics, Emory University, Atlanta GA 30322","Department of Mathematics, Emory University, Atlanta, GA 30322#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Emory University, Atlanta GA 30322","institution_ids":["https://openalex.org/I150468666"]},{"raw_affiliation_string":"Department of Mathematics, Emory University, Atlanta, GA 30322#TAB#","institution_ids":["https://openalex.org/I150468666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109078443","display_name":"Vojt\u011bch R\u00f6dl","orcid":null},"institutions":[{"id":"https://openalex.org/I150468666","display_name":"Emory University","ror":"https://ror.org/03czfpz43","country_code":"US","type":"education","lineage":["https://openalex.org/I150468666"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vojt\u011bch R\u00f6dl","raw_affiliation_strings":["Department of Mathematics, Emory University, Atlanta GA 30322","Department of Mathematics, Emory University, Atlanta, GA 30322#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Emory University, Atlanta GA 30322","institution_ids":["https://openalex.org/I150468666"]},{"raw_affiliation_string":"Department of Mathematics, Emory University, Atlanta, GA 30322#TAB#","institution_ids":["https://openalex.org/I150468666"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003031583"],"corresponding_institution_ids":["https://openalex.org/I150468666"],"apc_list":{"value":4330,"currency":"USD","value_usd":4330},"apc_paid":null,"fwci":0.8215,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.6162465,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"3","issue":"4","first_page":"427","last_page":"444"},"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":0.9997000098228455,"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":0.9997000098228455,"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":0.9751999974250793,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9678999781608582,"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/combinatorics","display_name":"Combinatorics","score":0.8450939059257507},{"id":"https://openalex.org/keywords/monochromatic-color","display_name":"Monochromatic color","score":0.7569472193717957},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6733871698379517},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6686815023422241},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6325138211250305},{"id":"https://openalex.org/keywords/ramseys-theorem","display_name":"Ramsey's theorem","score":0.5793343782424927},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5271206498146057},{"id":"https://openalex.org/keywords/ramsey-theory","display_name":"Ramsey theory","score":0.49139538407325745},{"id":"https://openalex.org/keywords/bound-graph","display_name":"Bound graph","score":0.47228604555130005},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4060654640197754},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.25948721170425415},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.16468209028244019},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.05456817150115967}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8450939059257507},{"id":"https://openalex.org/C40833965","wikidata":"https://www.wikidata.org/wiki/Q6901438","display_name":"Monochromatic color","level":2,"score":0.7569472193717957},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6733871698379517},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6686815023422241},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6325138211250305},{"id":"https://openalex.org/C44115641","wikidata":"https://www.wikidata.org/wiki/Q918099","display_name":"Ramsey's theorem","level":3,"score":0.5793343782424927},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5271206498146057},{"id":"https://openalex.org/C112291201","wikidata":"https://www.wikidata.org/wiki/Q1336170","display_name":"Ramsey theory","level":2,"score":0.49139538407325745},{"id":"https://openalex.org/C121134508","wikidata":"https://www.wikidata.org/wiki/Q4949882","display_name":"Bound graph","level":5,"score":0.47228604555130005},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4060654640197754},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.25948721170425415},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.16468209028244019},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.05456817150115967},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/rsa.3240030406","is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.3240030406","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures &amp; Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.uri.edu:math_facpubs-1126","is_oa":true,"landing_page_url":"https://digitalcommons.uri.edu/math_facpubs/124","pdf_url":null,"source":{"id":"https://openalex.org/S2764761010","display_name":"Journal of Media Literacy Education","issn_l":"2167-8715","issn":["2167-8715"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310316378","host_organization_name":"National Association for Media Literacy Education","host_organization_lineage":["https://openalex.org/P4310316378"],"host_organization_lineage_names":["National Association for Media Literacy Education"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics Faculty Publications","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:digitalcommons.uri.edu:math_facpubs-1126","is_oa":true,"landing_page_url":"https://digitalcommons.uri.edu/math_facpubs/124","pdf_url":null,"source":{"id":"https://openalex.org/S2764761010","display_name":"Journal of Media Literacy Education","issn_l":"2167-8715","issn":["2167-8715"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310316378","host_organization_name":"National Association for Media Literacy Education","host_organization_lineage":["https://openalex.org/P4310316378"],"host_organization_lineage_names":["National Association for Media Literacy Education"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics Faculty Publications","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W28279000","https://openalex.org/W1735141257","https://openalex.org/W1963778065","https://openalex.org/W1989534282","https://openalex.org/W1996516812","https://openalex.org/W2035687898","https://openalex.org/W2063292248","https://openalex.org/W2095689360","https://openalex.org/W2155551829","https://openalex.org/W2318560261","https://openalex.org/W2327588389","https://openalex.org/W2415354516","https://openalex.org/W4213252396"],"related_works":["https://openalex.org/W13791998","https://openalex.org/W2474561564","https://openalex.org/W2949231378","https://openalex.org/W4301914467","https://openalex.org/W2127133075","https://openalex.org/W2950410478","https://openalex.org/W4301765976","https://openalex.org/W4297817664","https://openalex.org/W2292548913","https://openalex.org/W4323065312"],"abstract_inverted_index":{"Abstract":[0],"Say":[1],"a":[2,6,19,28,44,124,135,147,151],"graph":[3,7,45],"H":[4,14,26,35,82,97,106,119],"selects":[5,47],"G":[8,24,33,48,85,100,111,129],"if":[9],"given":[10,66],"any":[11,115],"coloring":[12,117],"of":[13,23,32,43,118,128],",":[15,112],"there":[16],"will":[17],"be":[18],"monochromatic":[20,125],"induced":[21,126],"copy":[22,31,127],"in":[25,34],"or":[27],"completely":[29],"multicolored":[30],".":[36,130],"Denote":[37],"by":[38],"s(G)":[39,55],"the":[40,72],"minimum":[41],"order":[42],"that":[46,105,113],"and":[49,62],"set":[50],"s(n)":[51],"=":[52,58,78,93],"max":[53],"{":[54],":":[56],"|G|":[57],"n":[59,94],"}.":[60],"Upper":[61],"lower":[63],"bounds":[64],"are":[65],"for":[67,139,153],"this":[68,140],"function.":[69],"Also,":[70],"consider":[71],"Folkman":[73],"function":[74,141],"f":[75],"r":[76,88,103,121],"(n)":[77],"max{min{|":[79],"V(H":[80],")|:":[81],"\u2192":[83,98],"(":[84,99],")":[86,101],"1":[87,102],"}:":[89],"|":[90,92],"V(G)":[91],"},":[95],"where":[96],"indicates":[104],"is":[107],"vertex":[108,116],"Ramsey":[109],"to":[110],"is,":[114],"with":[120],"colors":[122],"admits":[123],"The":[131],"method":[132],"used":[133],"provides":[134],"better":[136],"upper":[137],"bound":[138],"than":[142],"was":[143],"previously":[144],"known.":[145],"As":[146],"tool,":[148],"we":[149],"establish":[150],"theorem":[152],"projective":[154],"planes.":[155]},"counts_by_year":[{"year":2018,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
