{"id":"https://openalex.org/W2126793513","doi":"https://doi.org/10.1017/s0963548314000212","title":"Cycles Are Strongly Ramsey-Unsaturated","display_name":"Cycles Are Strongly Ramsey-Unsaturated","publication_year":2014,"publication_date":"2014-04-29","ids":{"openalex":"https://openalex.org/W2126793513","doi":"https://doi.org/10.1017/s0963548314000212","mag":"2126793513"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548314000212","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548314000212","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7AD8F7151A9D375A1D249E37FAF500E3/S0963548314000212a.pdf/div-class-title-cycles-are-strongly-ramsey-unsaturated-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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7AD8F7151A9D375A1D249E37FAF500E3/S0963548314000212a.pdf/div-class-title-cycles-are-strongly-ramsey-unsaturated-div.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"J. SKOKAN","orcid":null},"institutions":[{"id":"https://openalex.org/I909854389","display_name":"London School of Economics and Political Science","ror":"https://ror.org/0090zs177","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I909854389"]},{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I183874917","display_name":"Urbana University","ror":"https://ror.org/04kp3hw27","country_code":"US","type":"education","lineage":["https://openalex.org/I183874917"]}],"countries":["GB","US"],"is_corresponding":false,"raw_author_name":"J. SKOKAN","raw_affiliation_strings":["Department of Mathematics, London School of Economics and Political Science, Houghton Street, London WC2A 2AE, UK and Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL 61801, USA (e-mail:"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, London School of Economics and Political Science, Houghton Street, London WC2A 2AE, UK and Department of Mathematics, University of Illinois at Urbana-Champaign, 1409 W. Green Street, Urbana, IL 61801, USA (e-mail:","institution_ids":["https://openalex.org/I157725225","https://openalex.org/I909854389","https://openalex.org/I183874917"]}]},{"author_position":"last","author":{"id":null,"display_name":"M. STEIN","orcid":null},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":true,"raw_author_name":"M. STEIN","raw_affiliation_strings":["Centro de Modelamiento Matem\u00e1tico, Universidad de Chile, Santiago, Chile (e-mail:"],"affiliations":[{"raw_affiliation_string":"Centro de Modelamiento Matem\u00e1tico, Universidad de Chile, Santiago, Chile (e-mail:","institution_ids":["https://openalex.org/I69737025"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I69737025"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.18130151,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"23","issue":"4","first_page":"607","last_page":"630"},"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":0.847000002861023,"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":0.847000002861023,"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":0.10970000177621841,"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":0.01549999974668026,"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/bipartite-graph","display_name":"Bipartite graph","score":0.7213000059127808},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6808000206947327},{"id":"https://openalex.org/keywords/chord","display_name":"Chord (peer-to-peer)","score":0.5550000071525574},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.46160000562667847},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.39469999074935913},{"id":"https://openalex.org/keywords/ramseys-theorem","display_name":"Ramsey's theorem","score":0.3330000042915344}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7972999811172485},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7213000059127808},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.70169997215271},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6808000206947327},{"id":"https://openalex.org/C194147245","wikidata":"https://www.wikidata.org/wiki/Q1076368","display_name":"Chord (peer-to-peer)","level":2,"score":0.5550000071525574},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5170000195503235},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.46160000562667847},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.39469999074935913},{"id":"https://openalex.org/C44115641","wikidata":"https://www.wikidata.org/wiki/Q918099","display_name":"Ramsey's theorem","level":3,"score":0.3330000042915344},{"id":"https://openalex.org/C2777724877","wikidata":"https://www.wikidata.org/wiki/Q2548661","display_name":"Crossing number (knot theory)","level":3,"score":0.3287999927997589},{"id":"https://openalex.org/C128115575","wikidata":"https://www.wikidata.org/wiki/Q5597083","display_name":"Graph factorization","level":5,"score":0.31189998984336853},{"id":"https://openalex.org/C134119311","wikidata":"https://www.wikidata.org/wiki/Q913598","display_name":"Complete bipartite graph","level":4,"score":0.2897000014781952},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.2671000063419342},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.2655999958515167},{"id":"https://openalex.org/C168291704","wikidata":"https://www.wikidata.org/wiki/Q902252","display_name":"Complement graph","level":5,"score":0.2556999921798706}],"mesh":[],"locations_count":9,"locations":[{"id":"doi:10.1017/s0963548314000212","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548314000212","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7AD8F7151A9D375A1D249E37FAF500E3/S0963548314000212a.pdf/div-class-title-cycles-are-strongly-ramsey-unsaturated-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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},{"id":"pmh:oai:researchonline.lse.ac.uk:57212","is_oa":false,"landing_page_url":"https://orcid.org/0000-0003-3996-7676>","pdf_url":null,"source":{"id":"https://openalex.org/S4306401593","display_name":"London School of Economics and Political Science Research Online (London School of Economics and Political Science)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I909854389","host_organization_name":"London School of Economics and Political Science","host_organization_lineage":["https://openalex.org/I909854389"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:arXiv.org:1203.2259","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1203.2259","pdf_url":"https://arxiv.org/pdf/1203.2259","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":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.755.6288","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.755.6288","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1203.2259.pdf","raw_type":"text"},{"id":"pmh:oai:americanae.aecid.es:3266896","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3266896","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Combinatorics Probability & Computing","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:americanae.aecid.es:3304083","is_oa":true,"landing_page_url":"http://americanae.aecid.es/americanae/es/registros/registro.do?tipoRegistro=MTD&idBib=3304083","pdf_url":null,"source":{"id":"https://openalex.org/S4306400786","display_name":"Americanae (AECID Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"COMBINATORICS PROBABILITY & COMPUTING (PRINT)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:eprints.lse.ac.uk:57212","is_oa":false,"landing_page_url":"http://eprints.lse.ac.uk/57212/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401593","display_name":"London School of Economics and Political Science Research Online (London School of Economics and Political Science)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I909854389","host_organization_name":"London School of Economics and Political Science","host_organization_lineage":["https://openalex.org/I909854389"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:localhost:10533/131807","is_oa":true,"landing_page_url":"http://hdl.handle.net/10533/131807","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"COMBINATORICS PROBABILITY & COMPUTING (PRINT)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:localhost:10533/148070","is_oa":true,"landing_page_url":"http://hdl.handle.net/10533/148070","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Combinatorics Probability & Computing","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.1017/s0963548314000212","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548314000212","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/7AD8F7151A9D375A1D249E37FAF500E3/S0963548314000212a.pdf/div-class-title-cycles-are-strongly-ramsey-unsaturated-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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2126793513.pdf","grobid_xml":"https://content.openalex.org/works/W2126793513.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1532010022","https://openalex.org/W1983527280","https://openalex.org/W1996106086","https://openalex.org/W2037951482","https://openalex.org/W2069040548","https://openalex.org/W2104145910","https://openalex.org/W2133280796","https://openalex.org/W2143281507","https://openalex.org/W2155870908","https://openalex.org/W2159101505","https://openalex.org/W2160743102","https://openalex.org/W4234919473","https://openalex.org/W4235031608"],"related_works":[],"abstract_inverted_index":{"We":[0,96],"call":[1,167],"a":[2,105,109,116,122],"graph":[3,110],"H":[4,15,23,31,111,141,144],"Ramsey-unsaturated":[5],"if":[6],"there":[7],"is":[8,53,86,112,142,145,161],"an":[9,93],"edge":[10],"in":[11,42],"the":[12,18,75,79,90,137,174],"complement":[13],"of":[14,22,78,119,140],"such":[16],"that":[17,55],"Ramsey":[19,76],"number":[20,77,118],"r(H)":[21,128],"does":[24],"not":[25],"change":[26],"upon":[27],"adding":[28,89,115],"it":[29,52],"to":[30,121,166],".":[32],"This":[33,163],"notion":[34],"was":[35],"introduced":[36],"by":[37,103,114],"Balister,":[38],"Lehel":[39],"and":[40,64,88,159],"Schelp":[41],"[":[43],"J.":[44],"Graph":[45],"Theory":[46],"51":[47],"(2006),":[48],"pp.":[49],"22\u201332],":[50],"where":[51],"shown":[54],"cycles":[56,102,168],"(except":[57],"for":[58,100],"C":[59,81,124],"4":[60],")":[61,132,151],"are":[62],"Ramsey-unsaturated,":[63],"conjectured":[65],"that,":[66],"moreover,":[67],"one":[68],"may":[69],"add":[70],"any":[71],"chord":[72,91],"without":[73],"changing":[74],"cycle":[80,123],"n":[82,85,125,131,150,157,160],",":[83,126,133],"unless":[84],"even":[87,149],"creates":[92],"odd":[94,156],"cycle.":[95],"prove":[97],"this":[98],"conjecture":[99],"large":[101],"showing":[104],"stronger":[106],"statement.":[107],"If":[108],"obtained":[113],"linear":[117],"chords":[120],"then":[127],"=":[129],"r(C":[130],"as":[134,136],"long":[135],"maximum":[138],"degree":[139],"bounded,":[143],"either":[146],"bipartite":[147,154],"(for":[148,155],"or":[152],"almost":[153],"),":[158],"large.":[162],"motivates":[164],"us":[165],"strongly":[169],"Ramsey-unsaturated.":[170],"Our":[171],"proof":[172],"uses":[173],"regularity":[175],"method.":[176]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2016-06-24T00:00:00"}