{"id":"https://openalex.org/W2074502796","doi":"https://doi.org/10.1016/0097-3165(71)90002-1","title":"An upper bound for the ramsey number M(5, 4)","display_name":"An upper bound for the ramsey number M(5, 4)","publication_year":1971,"publication_date":"1971-07-01","ids":{"openalex":"https://openalex.org/W2074502796","doi":"https://doi.org/10.1016/0097-3165(71)90002-1","mag":"2074502796"},"language":"en","primary_location":{"id":"doi:10.1016/0097-3165(71)90002-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-3165(71)90002-1","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/A5110144887","display_name":"K. Walker","orcid":null},"institutions":[{"id":"https://openalex.org/I56007636","display_name":"Keele University","ror":"https://ror.org/00340yn33","country_code":"GB","type":"education","lineage":["https://openalex.org/I56007636"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"K Walker","raw_affiliation_strings":["University of Keele, Staffordshire, England","Univ. of Keele, Staffordshire, England"],"affiliations":[{"raw_affiliation_string":"University of Keele, Staffordshire, England","institution_ids":["https://openalex.org/I56007636"]},{"raw_affiliation_string":"Univ. of Keele, Staffordshire, England","institution_ids":["https://openalex.org/I56007636"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5110144887"],"corresponding_institution_ids":["https://openalex.org/I56007636"],"apc_list":{"value":3320,"currency":"USD","value_usd":3320},"apc_paid":null,"fwci":1.3453,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.81667391,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"11","issue":"1","first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"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":0.9991999864578247,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9991000294685364,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.676619291305542},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5386888980865479},{"id":"https://openalex.org/keywords/ramseys-theorem","display_name":"Ramsey's theorem","score":0.5201292634010315},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5121145248413086},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10413143038749695}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.676619291305542},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5386888980865479},{"id":"https://openalex.org/C44115641","wikidata":"https://www.wikidata.org/wiki/Q918099","display_name":"Ramsey's theorem","level":3,"score":0.5201292634010315},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5121145248413086},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10413143038749695},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0097-3165(71)90002-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0097-3165(71)90002-1","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1487872891","https://openalex.org/W1978956935","https://openalex.org/W2033959120","https://openalex.org/W2065868027","https://openalex.org/W2069367490","https://openalex.org/W2095689360","https://openalex.org/W2318194046","https://openalex.org/W2318216975","https://openalex.org/W2323590783","https://openalex.org/W4242431887","https://openalex.org/W6674035967"],"related_works":["https://openalex.org/W2046202915","https://openalex.org/W2134378549","https://openalex.org/W1561903201","https://openalex.org/W2043020651","https://openalex.org/W2990545556","https://openalex.org/W2902364522","https://openalex.org/W2018966352","https://openalex.org/W1970497402","https://openalex.org/W2101126588","https://openalex.org/W2949154825"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}