{"id":"https://openalex.org/W2949057723","doi":"https://doi.org/10.37236/8775","title":"On Berge-Ramsey Problems","display_name":"On Berge-Ramsey Problems","publication_year":2020,"publication_date":"2020-05-29","ids":{"openalex":"https://openalex.org/W2949057723","doi":"https://doi.org/10.37236/8775","mag":"2949057723"},"language":"en","primary_location":{"id":"doi:10.37236/8775","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8775","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i2p39/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i2p39/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071291505","display_name":"D\u00e1niel Gerbner","orcid":"https://orcid.org/0000-0001-7080-2883"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"D\u00e1niel Gerbner","raw_affiliation_strings":["Alfred Renyi Institute of Mathematics","Alfr\u00e9d R\u00e9nyi Institute of Mathematics,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Alfred Renyi Institute of Mathematics","institution_ids":["https://openalex.org/I127817813"]},{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics,","institution_ids":["https://openalex.org/I127817813"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5071291505"],"corresponding_institution_ids":["https://openalex.org/I127817813"],"apc_list":null,"apc_paid":null,"fwci":0.547,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54125616,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"27","issue":"2","first_page":null,"last_page":null},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9940999746322632,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9936000108718872,"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/hypergraph","display_name":"Hypergraph","score":0.9306052327156067},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8760166168212891},{"id":"https://openalex.org/keywords/ramseys-theorem","display_name":"Ramsey's theorem","score":0.8322434425354004},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.717380940914154},{"id":"https://openalex.org/keywords/monochromatic-color","display_name":"Monochromatic color","score":0.6688253283500671},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5791394114494324},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.5741173028945923},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5462744235992432},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5273205637931824},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4033357501029968},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09483495354652405},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09337130188941956}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.9306052327156067},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8760166168212891},{"id":"https://openalex.org/C44115641","wikidata":"https://www.wikidata.org/wiki/Q918099","display_name":"Ramsey's theorem","level":3,"score":0.8322434425354004},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.717380940914154},{"id":"https://openalex.org/C40833965","wikidata":"https://www.wikidata.org/wiki/Q6901438","display_name":"Monochromatic color","level":2,"score":0.6688253283500671},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5791394114494324},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.5741173028945923},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5462744235992432},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5273205637931824},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4033357501029968},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09483495354652405},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09337130188941956},{"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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.37236/8775","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8775","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i2p39/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1906.02465","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1906.02465","pdf_url":"https://arxiv.org/pdf/1906.02465","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2949057723","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1906.02465.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1906.02465","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1906.02465","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.37236/8775","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8775","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i2p39/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1125387830","display_name":null,"funder_award_id":"K 116769","funder_id":"https://openalex.org/F4320336675","funder_display_name":"National Research, Development and Innovation Office"},{"id":"https://openalex.org/G2959305970","display_name":null,"funder_award_id":"KH 130371","funder_id":"https://openalex.org/F4320336675","funder_display_name":"National Research, Development and Innovation Office"},{"id":"https://openalex.org/G302206780","display_name":null,"funder_award_id":"KH 130371","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"},{"id":"https://openalex.org/G3730235908","display_name":null,"funder_award_id":"116769","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"},{"id":"https://openalex.org/G4041839036","display_name":null,"funder_award_id":"SNN 129364","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"},{"id":"https://openalex.org/G4745933073","display_name":null,"funder_award_id":"SNN 129364","funder_id":"https://openalex.org/F4320336675","funder_display_name":"National Research, Development and Innovation Office"},{"id":"https://openalex.org/G4863009220","display_name":null,"funder_award_id":"K 116769","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"},{"id":"https://openalex.org/G744761034","display_name":null,"funder_award_id":"K 116769","funder_id":"https://openalex.org/F4320322192","funder_display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia"},{"id":"https://openalex.org/G7499709116","display_name":null,"funder_award_id":"130371","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"},{"id":"https://openalex.org/G7946896065","display_name":null,"funder_award_id":"129364","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"}],"funders":[{"id":"https://openalex.org/F4320322192","display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia","ror":"https://ror.org/02ks8qq67"},{"id":"https://openalex.org/F4320326762","display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal","ror":null},{"id":"https://openalex.org/F4320336675","display_name":"National Research, Development and Innovation Office","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2949057723.pdf","grobid_xml":"https://content.openalex.org/works/W2949057723.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1697187873","https://openalex.org/W2045472305","https://openalex.org/W2112297986","https://openalex.org/W2112867544","https://openalex.org/W2247453162","https://openalex.org/W2377648294","https://openalex.org/W2465828117","https://openalex.org/W2744736957","https://openalex.org/W2803234700","https://openalex.org/W2884266606","https://openalex.org/W2889022504","https://openalex.org/W2889343610","https://openalex.org/W2889507584","https://openalex.org/W2908866483","https://openalex.org/W2953235385","https://openalex.org/W2962695057","https://openalex.org/W6637642575","https://openalex.org/W6754356041","https://openalex.org/W6891712570"],"related_works":["https://openalex.org/W2952560424","https://openalex.org/W2069009439","https://openalex.org/W2993622897","https://openalex.org/W2004294976","https://openalex.org/W2938799728","https://openalex.org/W2899179943","https://openalex.org/W3214657896","https://openalex.org/W2027624102","https://openalex.org/W2551876249","https://openalex.org/W2063722065","https://openalex.org/W2945838313","https://openalex.org/W2953186977","https://openalex.org/W2331846555","https://openalex.org/W2131168517","https://openalex.org/W2952588660","https://openalex.org/W2551566475","https://openalex.org/W2942436526","https://openalex.org/W2963505277","https://openalex.org/W3104768492","https://openalex.org/W2339564770"],"abstract_inverted_index":{"Given":[0],"a":[1,4,8,19,51,67,75,99,113,132],"graph":[2],"$G$,":[3],"hypergraph":[5],"$\\mathcal{H}$":[6],"is":[7,18,66,129],"Berge":[9,40,69],"copy":[10,70],"of":[11,29,42,48,50,71],"$F$":[12],"if":[13,57],"$V(G)\\subset":[14],"V(\\mathcal{H})$":[15],"and":[16,88,106,121],"there":[17,65],"bijection":[20],"$f:E(G)\\rightarrow":[21],"E(\\mathcal{H})$":[22],"such":[23,55],"that":[24,56,128],"for":[25,39,85],"any":[26],"edge":[27],"$e$":[28],"$G$":[30],"we":[31,58,83,123],"have":[32],"$e\\subset":[33],"f(e)$.":[34],"We":[35,73,96],"study":[36],"Ramsey":[37,91],"problems":[38],"copies":[41],"graphs,":[43],"i.e.":[44],"the":[45,60,90,108,117],"smallest":[46],"number":[47,92],"vertices":[49],"complete":[52],"$r$-uniform":[53],"hypergraph,":[54],"color":[59],"hyperedges":[61],"with":[62],"$c$":[63,89],"colors,":[64],"monochromatic":[68],"$G$.":[72],"obtain":[74,103,124],"couple":[76],"results":[77],"regarding":[78],"these":[79],"problems.":[80],"In":[81,116],"particular,":[82],"determine":[84],"which":[86],"$r$":[87],"can":[93],"be":[94],"super-linear.":[95],"also":[97],"show":[98],"new":[100],"way":[101],"to":[102],"lower":[104,110],"bounds,":[105],"improve":[107],"general":[109],"bounds":[111],"by":[112],"large":[114],"margin.":[115],"specific":[118],"case":[119],"$G=K_n$":[120],"$r=2c-1$,":[122],"an":[125],"upper":[126],"bound":[127],"sharp":[130],"besides":[131],"constant":[133],"term,":[134],"improving":[135],"earlier":[136],"results.":[137]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}