{"id":"https://openalex.org/W4392144141","doi":"https://doi.org/10.1007/s00373-024-02755-y","title":"Ramsey Numbers and Graph Parameters","display_name":"Ramsey Numbers and Graph Parameters","publication_year":2024,"publication_date":"2024-02-25","ids":{"openalex":"https://openalex.org/W4392144141","doi":"https://doi.org/10.1007/s00373-024-02755-y"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-024-02755-y","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00373-024-02755-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-024-02755-y.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00373-024-02755-y.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5081581015","display_name":"Vadim Lozin","orcid":"https://orcid.org/0000-0003-2464-7389"},"institutions":[{"id":"https://openalex.org/I39555362","display_name":"University of Warwick","ror":"https://ror.org/01a77tt86","country_code":"GB","type":"education","lineage":["https://openalex.org/I39555362"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Vadim Lozin","raw_affiliation_strings":["Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK"],"affiliations":[{"raw_affiliation_string":"Mathematics Institute, University of Warwick, Coventry, CV4 7AL, UK","institution_ids":["https://openalex.org/I39555362"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5081581015"],"corresponding_institution_ids":["https://openalex.org/I39555362"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.3719,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57333126,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"40","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994999766349792,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9994999766349792,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9991000294685364,"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":0.9926000237464905,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7337278723716736},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7162011861801147},{"id":"https://openalex.org/keywords/ramseys-theorem","display_name":"Ramsey's theorem","score":0.6575804948806763},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.489379346370697},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3759060502052307}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7337278723716736},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7162011861801147},{"id":"https://openalex.org/C44115641","wikidata":"https://www.wikidata.org/wiki/Q918099","display_name":"Ramsey's theorem","level":3,"score":0.6575804948806763},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.489379346370697},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3759060502052307}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00373-024-02755-y","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00373-024-02755-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-024-02755-y.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:wrap.warwick.ac.uk:183647","is_oa":true,"landing_page_url":null,"pdf_url":"https://wrap.warwick.ac.uk/183647/2/s00373-024-02755-y.pdf","source":{"id":"https://openalex.org/S4306400665","display_name":"Warwick Research Archive Portal (University of Warwick)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I39555362","host_organization_name":"University of Warwick","host_organization_lineage":["https://openalex.org/I39555362"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Journal Article"}],"best_oa_location":{"id":"doi:10.1007/s00373-024-02755-y","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s00373-024-02755-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00373-024-02755-y.pdf","source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4392144141.pdf"},"referenced_works_count":11,"referenced_works":["https://openalex.org/W94262720","https://openalex.org/W1973199140","https://openalex.org/W1974351233","https://openalex.org/W2046660404","https://openalex.org/W2053858915","https://openalex.org/W2065761231","https://openalex.org/W2084408260","https://openalex.org/W2085740124","https://openalex.org/W2095689360","https://openalex.org/W3124101447","https://openalex.org/W3178242102"],"related_works":["https://openalex.org/W2046202915","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","https://openalex.org/W3035630862"],"abstract_inverted_index":{"Abstract":[0],"According":[1],"to":[2],"Ramsey\u2019s":[3],"Theorem,":[4],"for":[5,65,74,107,128,143,189,193,238],"any":[6],"natural":[7],"p":[8,18,31,42,61,89,100,155],"and":[9,90,192],"q":[10,20,33,49,63,91,102,157],"there":[11,206],"is":[12,71,139,159,207],"a":[13,38,85,202,208,261],"minimum":[14],"number":[15,79,113,134,262],"R":[16,29,59,98,153],"(":[17,30,60,99,154],",":[19,32,62,101,156],")":[21,34,64,103,158],"such":[22,211],"that":[23,73,142,212],"every":[24],"graph":[25],"with":[26,185],"at":[27,114,135],"least":[28],"vertices":[35],"has":[36],"either":[37],"clique":[39],"of":[40,47,76,88,97,109,111,125,130,132,145,147,152,197,263,270],"size":[41,48],"or":[43],"an":[44],"independent":[45],"set":[46],".":[50,92,180],"In":[51,117,255],"the":[52,94,122,150,186,256],"present":[53,257],"paper,":[54,119,258],"we":[55,120,259],"study":[56],"Ramsey":[57,80,126],"numbers":[58,81,127],"graphs":[66,75,110,131,146,191],"in":[67,252],"special":[68],"classes.":[69],"It":[70,138],"known":[72,105,141],"bounded":[77],"co-chromatic":[78,112,133],"are":[82,104,267],"upper-bounded":[83],"by":[84,161],"linear":[86],"function":[87],"However,":[93],"exact":[95,123],"values":[96,124],"only":[106],"classes":[108,129,144,265],"most":[115,136],"2.":[116],"this":[118,253],"determine":[121],"3.":[137],"also":[140],"unbounded":[148,198],"splitness":[149],"value":[151],"lower-bounded":[160],"$$(p-1)(q-1)+1$$":[162],"<mml:math":[163,214,242],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[164,215,243],"<mml:mrow>":[165,216,244],"<mml:mo>(</mml:mo>":[166,171,218,224,229],"<mml:mi>p</mml:mi>":[167,219,225,245],"<mml:mo>-</mml:mo>":[168,173,226,231],"<mml:mn>1</mml:mn>":[169,174,177,227,232,235],"<mml:mo>)</mml:mo>":[170,175,222,228,233],"<mml:mi>q</mml:mi>":[172,221,230,247],"<mml:mo>+</mml:mo>":[176,234],"</mml:mrow>":[178,236,250],"</mml:math>":[179,237,251],"This":[181],"lower":[182],"bound":[183,188],"coincides":[184],"upper":[187],"perfect":[190,271],"all":[194,239],"their":[195],"subclasses":[196,269],"splitness.":[199],"We":[200],"call":[201],"class":[203],"Ramsey-perfect":[204,264],"if":[205],"constant":[209],"c":[210],"$$R(p,q)=(p-1)(q-1)+1$$":[213],"<mml:mi>R</mml:mi>":[217],"<mml:mo>,</mml:mo>":[220,246],"<mml:mo>=</mml:mo>":[223],"$$p,q\\ge":[240],"c$$":[241],"<mml:mo>\u2265</mml:mo>":[248],"<mml:mi>c</mml:mi>":[249],"class.":[254],"identify":[260],"which":[266],"not":[268],"graphs.":[272]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-17T17:19:04.345684","created_date":"2025-10-10T00:00:00"}