{"id":"https://openalex.org/W2047452808","doi":"https://doi.org/10.1002/(sici)1098-2418(199710)11:3<245::aid-rsa3>3.0.co;2-0","title":"Threshold functions for asymmetric Ramsey properties involving cycles","display_name":"Threshold functions for asymmetric Ramsey properties involving cycles","publication_year":1997,"publication_date":"1997-10-01","ids":{"openalex":"https://openalex.org/W2047452808","doi":"https://doi.org/10.1002/(sici)1098-2418(199710)11:3<245::aid-rsa3>3.0.co;2-0","mag":"2047452808"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1098-2418(199710)11:3<245::aid-rsa3>3.0.co;2-0","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1098-2418(199710)11:3<245::aid-rsa3>3.0.co;2-0","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures and Algorithms","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/A5025621521","display_name":"Yoshiharu Kohayakawa","orcid":"https://orcid.org/0000-0001-7841-157X"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]},{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["BR","DE"],"is_corresponding":false,"raw_author_name":"Y. Kohayakawa","raw_affiliation_strings":["Instituto de Matema\u0301tica e Estati\u0301stica, Universidade de Sa\u0303o Paulo, Rua do Mata\u0303o 1010, 05508-900 Sa\u0303o Paulo SP, Brazil","Part of this work was done while this author was visiting Humboldt-Universita\u0308t zu Berlin through PROBRAL project number 026/95, a CAPES-DAAD exchange program","Part of this work was done while this author was visiting Humboldt-Universit\u00e4t zu Berlin through PROBRAL project number 026/95, a CAPES-DAAD exchange program","Instituto de Matem\u00e1tica e Estat\u00edstica, Universidade de S\u00e3o Paulo, Rua do Mat\u00e3o 1010, 05508-900 S\u00e3o Paulo SP, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matema\u0301tica e Estati\u0301stica, Universidade de Sa\u0303o Paulo, Rua do Mata\u0303o 1010, 05508-900 Sa\u0303o Paulo SP, Brazil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"Part of this work was done while this author was visiting Humboldt-Universita\u0308t zu Berlin through PROBRAL project number 026/95, a CAPES-DAAD exchange program","institution_ids":["https://openalex.org/I39343248"]},{"raw_affiliation_string":"Part of this work was done while this author was visiting Humboldt-Universit\u00e4t zu Berlin through PROBRAL project number 026/95, a CAPES-DAAD exchange program","institution_ids":["https://openalex.org/I39343248"]},{"raw_affiliation_string":"Instituto de Matem\u00e1tica e Estat\u00edstica, Universidade de S\u00e3o Paulo, Rua do Mat\u00e3o 1010, 05508-900 S\u00e3o Paulo SP, Brazil","institution_ids":["https://openalex.org/I17974374"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080803515","display_name":"B. Kreuter","orcid":null},"institutions":[{"id":"https://openalex.org/I39343248","display_name":"Humboldt-Universit\u00e4t zu Berlin","ror":"https://ror.org/01hcx6992","country_code":"DE","type":"education","lineage":["https://openalex.org/I39343248"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"B. Kreuter","raw_affiliation_strings":["Institut fu\u0308r Informatik, Humboldt-Universita\u0308t zu Berlin, Unter den Linden 6, 10099 Berlin, Germany","Institut f\u00fcr Informatik, Humboldt-Universit\u00e4t zu Berlin, Unter den Linden 6, 10099 Berlin, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut fu\u0308r Informatik, Humboldt-Universita\u0308t zu Berlin, Unter den Linden 6, 10099 Berlin, Germany","institution_ids":["https://openalex.org/I39343248"]},{"raw_affiliation_string":"Institut f\u00fcr Informatik, Humboldt-Universit\u00e4t zu Berlin, Unter den Linden 6, 10099 Berlin, Germany","institution_ids":["https://openalex.org/I39343248"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080803515"],"corresponding_institution_ids":["https://openalex.org/I39343248"],"apc_list":{"value":4330,"currency":"USD","value_usd":4330},"apc_paid":null,"fwci":1.8445,"has_fulltext":false,"cited_by_count":52,"citation_normalized_percentile":{"value":0.82953586,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"11","issue":"3","first_page":"245","last_page":"276"},"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":1.0,"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":1.0,"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":0.9969000220298767,"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":0.9958999752998352,"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/ramseys-theorem","display_name":"Ramsey's theorem","score":0.7243423461914062},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.682774543762207},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6311619281768799},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.6057776212692261},{"id":"https://openalex.org/keywords/random-graph","display_name":"Random graph","score":0.5659767985343933},{"id":"https://openalex.org/keywords/ramsey-theory","display_name":"Ramsey theory","score":0.5584944486618042},{"id":"https://openalex.org/keywords/binomial","display_name":"Binomial (polynomial)","score":0.4852704703807831},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4791823625564575},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4726231098175049},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4498332440853119},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.43082913756370544},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1961335837841034},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15420302748680115}],"concepts":[{"id":"https://openalex.org/C44115641","wikidata":"https://www.wikidata.org/wiki/Q918099","display_name":"Ramsey's theorem","level":3,"score":0.7243423461914062},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.682774543762207},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6311619281768799},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6057776212692261},{"id":"https://openalex.org/C47458327","wikidata":"https://www.wikidata.org/wiki/Q910404","display_name":"Random graph","level":3,"score":0.5659767985343933},{"id":"https://openalex.org/C112291201","wikidata":"https://www.wikidata.org/wiki/Q1336170","display_name":"Ramsey theory","level":2,"score":0.5584944486618042},{"id":"https://openalex.org/C2781315470","wikidata":"https://www.wikidata.org/wiki/Q193623","display_name":"Binomial (polynomial)","level":2,"score":0.4852704703807831},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4791823625564575},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4726231098175049},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4498332440853119},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.43082913756370544},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1961335837841034},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15420302748680115},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/(sici)1098-2418(199710)11:3<245::aid-rsa3>3.0.co;2-0","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1098-2418(199710)11:3<245::aid-rsa3>3.0.co;2-0","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures and Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.44.9478","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.44.9478","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ime.usp.br/~yoshi/Publications/kreuter/cycles/asymmetric.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1533996792","https://openalex.org/W1640333354","https://openalex.org/W1970285613","https://openalex.org/W1971734630","https://openalex.org/W1995077491","https://openalex.org/W2029810714","https://openalex.org/W2039241262","https://openalex.org/W2054018639","https://openalex.org/W2058619174","https://openalex.org/W2067023564","https://openalex.org/W2116537669","https://openalex.org/W2166965860","https://openalex.org/W2798428635","https://openalex.org/W2905110430"],"related_works":["https://openalex.org/W13791998","https://openalex.org/W2474561564","https://openalex.org/W2949231378","https://openalex.org/W4301914467","https://openalex.org/W2127133075","https://openalex.org/W2950410478","https://openalex.org/W4301765976","https://openalex.org/W4297817664","https://openalex.org/W2292548913","https://openalex.org/W1901246819"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,14,22,35,41,48,58],"binomial":[3],"random":[4],"graph":[5],"Gp":[6],"and":[7],"determine":[8],"a":[9],"sharp":[10],"threshold":[11],"function":[12],"for":[13],"edge-Ramsey":[15],"propertyfor":[16],"all":[17],"l1,\u2026,lr,":[18],"where":[19],"Cl":[20],"denotes":[21],"cycle":[23],"of":[24,30,37,50],"length":[25],"l.":[26],"As":[27],"deterministic":[28],"consequences":[29],"our":[31],"results,":[32],"we":[33],"prove":[34],"existence":[36,49],"sparse":[38],"graphs":[39,54],"having":[40],"above":[42],"Ramsey":[43],"property":[44,59],"as":[45,47],"well":[46],"infinitely":[51],"many":[52],"critical":[53],"with":[55],"respect":[56],"to":[57],"above.":[60],"\u00a9":[61],"1997":[62,73],"John":[63],"Wiley":[64],"&":[65],"Sons,":[66],"Inc.":[67],"Random":[68],"Struct.":[69],"Alg.,":[70],"11,":[71],"245\u2013276,":[72]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
