{"id":"https://openalex.org/W2736581319","doi":"https://doi.org/10.1017/s0963548318000354","title":"Tur\u00e1n Number of an Induced Complete Bipartite Graph Plus an Odd Cycle","display_name":"Tur\u00e1n Number of an Induced Complete Bipartite Graph Plus an Odd Cycle","publication_year":2018,"publication_date":"2018-07-16","ids":{"openalex":"https://openalex.org/W2736581319","doi":"https://doi.org/10.1017/s0963548318000354","mag":"2736581319"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548318000354","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548318000354","pdf_url":null,"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":"green","oa_url":"https://arxiv.org/pdf/1707.06482","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"BEKA ERGEMLIDZE","orcid":null},"institutions":[{"id":"https://openalex.org/I198945027","display_name":"Central European University","ror":"https://ror.org/02zx40v98","country_code":"AT","type":"education","lineage":["https://openalex.org/I198945027"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"BEKA ERGEMLIDZE","raw_affiliation_strings":["Department of Mathematics, Central European University, 1051 Budapest, N\u00e1dor utca 9 (e-mail:"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Central European University, 1051 Budapest, N\u00e1dor utca 9 (e-mail:","institution_ids":["https://openalex.org/I198945027"]}]},{"author_position":"middle","author":{"id":null,"display_name":"ERVIN GY\u0150RI","orcid":null},"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"]},{"id":"https://openalex.org/I198945027","display_name":"Central European University","ror":"https://ror.org/02zx40v98","country_code":"AT","type":"education","lineage":["https://openalex.org/I198945027"]}],"countries":["AT","HU"],"is_corresponding":false,"raw_author_name":"ERVIN GY\u0150RI","raw_affiliation_strings":["MTA R\u00e9nyi Institute, 1053 Budapest, Re\u00e1ltanoda utca 13-15 and Department of Mathematics, Central European University, 1051 Budapest, N\u00e1dor utca 9 (e-mail:"],"affiliations":[{"raw_affiliation_string":"MTA R\u00e9nyi Institute, 1053 Budapest, Re\u00e1ltanoda utca 13-15 and Department of Mathematics, Central European University, 1051 Budapest, N\u00e1dor utca 9 (e-mail:","institution_ids":["https://openalex.org/I127817813","https://openalex.org/I198945027"]}]},{"author_position":"last","author":{"id":null,"display_name":"ABHISHEK METHUKU","orcid":null},"institutions":[{"id":"https://openalex.org/I198945027","display_name":"Central European University","ror":"https://ror.org/02zx40v98","country_code":"AT","type":"education","lineage":["https://openalex.org/I198945027"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"ABHISHEK METHUKU","raw_affiliation_strings":["Department of Mathematics, Central European University, 1051 Budapest, N\u00e1dor utca 9 (e-mail:"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Central European University, 1051 Budapest, N\u00e1dor utca 9 (e-mail:","institution_ids":["https://openalex.org/I198945027"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I198945027"],"apc_list":null,"apc_paid":null,"fwci":1.1271,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.70469587,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"28","issue":"2","first_page":"241","last_page":"252"},"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":0.982699990272522,"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":0.982699990272522,"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":0.005900000222027302,"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/T12069","display_name":"Commutative Algebra and Its Applications","score":0.002099999925121665,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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":0.7203999757766724},{"id":"https://openalex.org/keywords/complete-bipartite-graph","display_name":"Complete bipartite graph","score":0.5776000022888184},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5618000030517578},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.46889999508857727},{"id":"https://openalex.org/keywords/complete-graph","display_name":"Complete graph","score":0.40720000863075256},{"id":"https://openalex.org/keywords/crossing-number","display_name":"Crossing number (knot theory)","score":0.33059999346733093}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7545999884605408},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7203999757766724},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6136999726295471},{"id":"https://openalex.org/C134119311","wikidata":"https://www.wikidata.org/wiki/Q913598","display_name":"Complete bipartite graph","level":4,"score":0.5776000022888184},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5618000030517578},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.46889999508857727},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41760000586509705},{"id":"https://openalex.org/C125080357","wikidata":"https://www.wikidata.org/wiki/Q45715","display_name":"Complete graph","level":3,"score":0.40720000863075256},{"id":"https://openalex.org/C2777724877","wikidata":"https://www.wikidata.org/wiki/Q2548661","display_name":"Crossing number (knot theory)","level":3,"score":0.33059999346733093},{"id":"https://openalex.org/C200597783","wikidata":"https://www.wikidata.org/wiki/Q4391289","display_name":"Edge-transitive graph","level":5,"score":0.30630001425743103},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.30399999022483826},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.2678999900817871},{"id":"https://openalex.org/C168291704","wikidata":"https://www.wikidata.org/wiki/Q902252","display_name":"Complement graph","level":5,"score":0.25690001249313354}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1017/s0963548318000354","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548318000354","pdf_url":null,"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:arXiv.org:1707.06482","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.06482","pdf_url":"https://arxiv.org/pdf/1707.06482","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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1707.06482","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1707.06482","pdf_url":"https://arxiv.org/pdf/1707.06482","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1444168583","https://openalex.org/W1977374427","https://openalex.org/W1990386955","https://openalex.org/W1996106086","https://openalex.org/W2006135590","https://openalex.org/W2009852526","https://openalex.org/W2066118197","https://openalex.org/W2080305978","https://openalex.org/W2110805362","https://openalex.org/W2143122465","https://openalex.org/W2148275926","https://openalex.org/W2532317049","https://openalex.org/W6659544648"],"related_works":[],"abstract_inverted_index":{"Let":[0],"k":[1,35,65],"\u2a7e":[2,16],"2":[3,13,34],"be":[4],"an":[5],"integer.":[6],"We":[7],"show":[8],"that":[9],"if":[10],"s":[11,19,53,57,62,67],"=":[12,20,22,66,68,70],"and":[14,80,83,91],"t":[15,21,51,69],"2,":[17],"or":[18],"3,":[23],"then":[24],"the":[25],"maximum":[26],"possible":[27],"number":[28],"of":[29,43,76,87],"edges":[30],"in":[31],"a":[32,74,85],"C":[33],"+1":[36],"-free":[37],"graph":[38],"containing":[39],"no":[40],"induced":[41],"copy":[42],"K":[44],"s,t":[45],"is":[46],"asymptotically":[47],"equal":[48],"to":[49],"(":[50,58],"\u2212":[52],"+":[54],"1)":[55],"1/":[56],"n":[59],"/2)":[60],"2\u22121/":[61],"except":[63],"when":[64],"2.":[71],"This":[72],"strengthens":[73],"result":[75],"Allen,":[77],"Keevash,":[78],"Sudakov":[79],"Verstra\u00ebte":[81],"[1],":[82],"answers":[84],"question":[86],"Loh,":[88],"Tait,":[89],"Timmons":[90],"Zhou":[92],"[14].":[93]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2017-07-31T00:00:00"}
