{"id":"https://openalex.org/W3207998522","doi":"https://doi.org/10.1017/s0963548322000360","title":"Off-diagonal book Ramsey numbers","display_name":"Off-diagonal book Ramsey numbers","publication_year":2023,"publication_date":"2023-01-09","ids":{"openalex":"https://openalex.org/W3207998522","doi":"https://doi.org/10.1017/s0963548322000360","mag":"3207998522"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548322000360","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548322000360","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/56B267C2FD057C2E646E9AEC5026D5FE/S0963548322000360a.pdf/div-class-title-off-diagonal-book-ramsey-numbers-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/56B267C2FD057C2E646E9AEC5026D5FE/S0963548322000360a.pdf/div-class-title-off-diagonal-book-ramsey-numbers-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042722711","display_name":"David Conlon","orcid":"https://orcid.org/0000-0001-5899-1829"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David Conlon","raw_affiliation_strings":["Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, USA","Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, USA,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"Department of Mathematics, California Institute of Technology, Pasadena, CA 91125, USA,","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112361944","display_name":"Jacob Fox","orcid":"https://orcid.org/0000-0002-0664-497X"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jacob Fox","raw_affiliation_strings":["Department of Mathematics, Stanford University, Stanford, CA 94305, USA","Department of Mathematics, Stanford University, Stanford, CA 94305, USA, and"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Stanford University, Stanford, CA 94305, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Department of Mathematics, Stanford University, Stanford, CA 94305, USA, and","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042083332","display_name":"Yuval Wigderson","orcid":"https://orcid.org/0000-0001-5909-9250"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Yuval Wigderson","raw_affiliation_strings":["School of Mathematics, Tel Aviv University, Tel Aviv 6997801, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Tel Aviv University, Tel Aviv 6997801, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5042083332"],"corresponding_institution_ids":["https://openalex.org/I16391192"],"apc_list":null,"apc_paid":null,"fwci":3.292,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.91266667,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"32","issue":"3","first_page":"516","last_page":"545"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9919999837875366,"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/T11476","display_name":"Graph theory and applications","score":0.9879999756813049,"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/combinatorics","display_name":"Combinatorics","score":0.794819712638855},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.7891349792480469},{"id":"https://openalex.org/keywords/ramseys-theorem","display_name":"Ramsey's theorem","score":0.7067083716392517},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6862474679946899},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.622613251209259},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.521863579750061},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4354396164417267},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4169190526008606},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41365596652030945},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06850329041481018},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05532965064048767},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.0500466525554657}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.794819712638855},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.7891349792480469},{"id":"https://openalex.org/C44115641","wikidata":"https://www.wikidata.org/wiki/Q918099","display_name":"Ramsey's theorem","level":3,"score":0.7067083716392517},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6862474679946899},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.622613251209259},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.521863579750061},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4354396164417267},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4169190526008606},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41365596652030945},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06850329041481018},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05532965064048767},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0500466525554657},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548322000360","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548322000360","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/56B267C2FD057C2E646E9AEC5026D5FE/S0963548322000360a.pdf/div-class-title-off-diagonal-book-ramsey-numbers-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1017/s0963548322000360","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548322000360","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/56B267C2FD057C2E646E9AEC5026D5FE/S0963548322000360a.pdf/div-class-title-off-diagonal-book-ramsey-numbers-div.pdf","source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1348714323","display_name":null,"funder_award_id":"DMS-1800053","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1516618852","display_name":null,"funder_award_id":"2054452","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2146822515","display_name":null,"funder_award_id":"DMS-2154169","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2202532149","display_name":"Induced Subgraphs and Coloring","funder_award_id":"1800053","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G2499887605","display_name":null,"funder_award_id":"DGE-1656518","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G309439510","display_name":null,"funder_award_id":"NSF GRFP Grant DGE-1656518","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G320138474","display_name":null,"funder_award_id":"-1656518","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5267932457","display_name":null,"funder_award_id":"1656518","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5745604493","display_name":"DMS-EPRSC: Induced Subgraphs and Graph Structure","funder_award_id":"2154169","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6311898263","display_name":null,"funder_award_id":"DMS-2054452","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":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W3207998522.pdf"},"referenced_works_count":38,"referenced_works":["https://openalex.org/W1278605765","https://openalex.org/W1444168583","https://openalex.org/W1487872891","https://openalex.org/W1606812353","https://openalex.org/W1964543450","https://openalex.org/W2006642471","https://openalex.org/W2034622005","https://openalex.org/W2045472305","https://openalex.org/W2052523574","https://openalex.org/W2057430998","https://openalex.org/W2069367490","https://openalex.org/W2074920973","https://openalex.org/W2095689360","https://openalex.org/W2100437838","https://openalex.org/W2103032535","https://openalex.org/W2108614720","https://openalex.org/W2164302265","https://openalex.org/W2168685161","https://openalex.org/W2209106825","https://openalex.org/W2327268113","https://openalex.org/W2796253518","https://openalex.org/W2901284226","https://openalex.org/W2972248832","https://openalex.org/W2998712546","https://openalex.org/W3010068861","https://openalex.org/W3026254307","https://openalex.org/W3101393766","https://openalex.org/W3106196710","https://openalex.org/W4212798546","https://openalex.org/W4220918316","https://openalex.org/W4384613771","https://openalex.org/W4385690854","https://openalex.org/W6674035967","https://openalex.org/W6750075753","https://openalex.org/W6767834979","https://openalex.org/W6777632678","https://openalex.org/W6785569337","https://openalex.org/W6800983337"],"related_works":["https://openalex.org/W2963272825","https://openalex.org/W2036810061","https://openalex.org/W1585007175","https://openalex.org/W2135584473","https://openalex.org/W2891286913","https://openalex.org/W1966595665","https://openalex.org/W2582950667","https://openalex.org/W3037609754","https://openalex.org/W190077873","https://openalex.org/W4226451695"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"book":[2],"graph":[3],"$B_n":[4],"^{(k)}$":[5],"consists":[6],"of":[7,10,97,117,125],"$n$":[8],"copies":[9],"$K_{k+1}$":[11],"joined":[12],"along":[13],"a":[14,68,115],"common":[15],"$K_k$":[16],".":[17,34,50,127],"In":[18,51],"the":[19,26,38,74],"prequel":[20],"to":[21,83],"this":[22,52],"paper,":[23],"we":[24,36,56],"studied":[25],"diagonal":[27],"Ramsey":[28,75],"number":[29],"$r(B_n":[30],"^{(k)},":[31,43],"B_n":[32],"^{(k)})$":[33],"Here":[35],"consider":[37],"natural":[39],"off-diagonal":[40],"variant":[41],"$r(B_{cn}":[42],"B_n^{(k)})$":[44],"for":[45,63,88,122],"fixed":[46],"$c":[47],"\\in":[48],"(0,1]$":[49],"more":[53],"general":[54],"setting,":[55],"show":[57],"that":[58],"an":[59,98],"interesting":[60],"dichotomy":[61],"emerges:":[62],"very":[64],"small":[65],"$c$":[66,89,126],",":[67,94],"simple":[69],"$k$":[70,85],"-partite":[71],"construction":[72],"dictates":[73],"function":[76],"and":[77,104],"all":[78,105],"nearly-extremal":[79,106],"colourings":[80,96,107],"are":[81,101,108],"close":[82],"being":[84],"-partite,":[86],"while,":[87],"bounded":[90],"away":[91],"from":[92],"$0$":[93],"random":[95],"appropriate":[99],"density":[100],"asymptotically":[102],"optimal":[103],"quasirandom.":[109],"Our":[110],"investigations":[111],"also":[112],"open":[113],"up":[114],"range":[116],"questions":[118],"about":[119],"what":[120],"happens":[121],"intermediate":[123],"values":[124]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}