{"id":"https://openalex.org/W2141157177","doi":"https://doi.org/10.1016/0097-3165(81)90040-6","title":"Some bounds for the Ramsey-Paris-Harrington numbers","display_name":"Some bounds for the Ramsey-Paris-Harrington numbers","publication_year":1981,"publication_date":"1981-01-01","ids":{"openalex":"https://openalex.org/W2141157177","doi":"https://doi.org/10.1016/0097-3165(81)90040-6","mag":"2141157177"},"language":"en","primary_location":{"id":"doi:10.1016/0097-3165(81)90040-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-3165(81)90040-6","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/A5077107126","display_name":"Paul Erd\u0151s","orcid":null},"institutions":[{"id":"https://openalex.org/I24861097","display_name":"St. Olaf College","ror":"https://ror.org/01q7w1f47","country_code":"US","type":"education","lineage":["https://openalex.org/I24861097"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU","US"],"is_corresponding":true,"raw_author_name":"Paul Erd\u00f6s","raw_affiliation_strings":["Hungarian Academy of Sciences, Budapest, Hungary","St. Olaf College, Northfield, Minnesota 55057 USA"],"affiliations":[{"raw_affiliation_string":"Hungarian Academy of Sciences, Budapest, Hungary","institution_ids":["https://openalex.org/I7597260"]},{"raw_affiliation_string":"St. Olaf College, Northfield, Minnesota 55057 USA","institution_ids":["https://openalex.org/I24861097"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006823864","display_name":"George Mills","orcid":null},"institutions":[{"id":"https://openalex.org/I24861097","display_name":"St. Olaf College","ror":"https://ror.org/01q7w1f47","country_code":"US","type":"education","lineage":["https://openalex.org/I24861097"]},{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU","US"],"is_corresponding":false,"raw_author_name":"George Mills","raw_affiliation_strings":["Hungarian Academy of Sciences, Budapest, Hungary","St. Olaf College, Northfield, Minnesota 55057 USA"],"affiliations":[{"raw_affiliation_string":"Hungarian Academy of Sciences, Budapest, Hungary","institution_ids":["https://openalex.org/I7597260"]},{"raw_affiliation_string":"St. Olaf College, Northfield, Minnesota 55057 USA","institution_ids":["https://openalex.org/I24861097"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5077107126"],"corresponding_institution_ids":["https://openalex.org/I24861097","https://openalex.org/I7597260"],"apc_list":{"value":3320,"currency":"USD","value_usd":3320},"apc_paid":null,"fwci":0.6859,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.71464108,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"30","issue":"1","first_page":"53","last_page":"70"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.9995999932289124,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9983000159263611,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9969000220298767,"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/ramseys-theorem","display_name":"Ramsey's theorem","score":0.8799313902854919},{"id":"https://openalex.org/keywords/ramsey-theory","display_name":"Ramsey theory","score":0.8490474224090576},{"id":"https://openalex.org/keywords/peano-axioms","display_name":"Peano axioms","score":0.8465595245361328},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7082017660140991},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5994958877563477},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5858086943626404},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4738098680973053},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4580932557582855},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.3881097137928009},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.07316705584526062},{"id":"https://openalex.org/keywords/economics","display_name":"Economics","score":0.0618586540222168}],"concepts":[{"id":"https://openalex.org/C44115641","wikidata":"https://www.wikidata.org/wiki/Q918099","display_name":"Ramsey's theorem","level":3,"score":0.8799313902854919},{"id":"https://openalex.org/C112291201","wikidata":"https://www.wikidata.org/wiki/Q1336170","display_name":"Ramsey theory","level":2,"score":0.8490474224090576},{"id":"https://openalex.org/C97489613","wikidata":"https://www.wikidata.org/wiki/Q842755","display_name":"Peano axioms","level":2,"score":0.8465595245361328},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7082017660140991},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5994958877563477},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5858086943626404},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4738098680973053},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4580932557582855},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.3881097137928009},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.07316705584526062},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0618586540222168},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0097-3165(81)90040-6","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-3165(81)90040-6","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.102.1230","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.102.1230","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math-inst.hu/~p_erdos/1981-30.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W83512845","https://openalex.org/W1597834884","https://openalex.org/W2005638249","https://openalex.org/W2044489715","https://openalex.org/W2065868027","https://openalex.org/W2161439427","https://openalex.org/W2336574378","https://openalex.org/W2969873114","https://openalex.org/W4249363607","https://openalex.org/W6635897266"],"related_works":["https://openalex.org/W2091438404","https://openalex.org/W2141157177","https://openalex.org/W1480546527","https://openalex.org/W2945124636","https://openalex.org/W2091690195","https://openalex.org/W2092296749","https://openalex.org/W4294381299","https://openalex.org/W2060782772","https://openalex.org/W2056303343","https://openalex.org/W2017219446"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
