{"id":"https://openalex.org/W2999223905","doi":"https://doi.org/10.37236/7759","title":"Cyclic Triangle Factors in Regular Tournaments","display_name":"Cyclic Triangle Factors in Regular Tournaments","publication_year":2019,"publication_date":"2019-10-25","ids":{"openalex":"https://openalex.org/W2999223905","doi":"https://doi.org/10.37236/7759","mag":"2999223905"},"language":"en","primary_location":{"id":"doi:10.37236/7759","is_oa":true,"landing_page_url":"https://doi.org/10.37236/7759","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i4p24/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":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i4p24/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100356900","display_name":"Lina Li","orcid":"https://orcid.org/0000-0001-5740-1612"},"institutions":[{"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"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Lina Li","raw_affiliation_strings":["University of Illinois at Urbana-Champaign"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004010993","display_name":"Theodore Molla","orcid":null},"institutions":[{"id":"https://openalex.org/I2613432","display_name":"University of South Florida","ror":"https://ror.org/032db5x82","country_code":"US","type":"education","lineage":["https://openalex.org/I2613432"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Theodore Molla","raw_affiliation_strings":["University of South Florida"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of South Florida","institution_ids":["https://openalex.org/I2613432"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4629,"has_fulltext":true,"cited_by_count":7,"citation_normalized_percentile":{"value":0.80782086,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"26","issue":"4","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":0.9990000128746033,"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":0.9990000128746033,"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":0.9926000237464905,"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":0.9796000123023987,"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":0.9063067436218262},{"id":"https://openalex.org/keywords/tournament","display_name":"Tournament","score":0.8744425177574158},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8332552909851074},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7287705540657043},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.661744236946106},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.6157785058021545},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4876960217952728},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33933722972869873}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.9063067436218262},{"id":"https://openalex.org/C136975688","wikidata":"https://www.wikidata.org/wiki/Q1320634","display_name":"Tournament","level":2,"score":0.8744425177574158},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8332552909851074},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7287705540657043},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.661744236946106},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6157785058021545},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4876960217952728},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33933722972869873}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/7759","is_oa":true,"landing_page_url":"https://doi.org/10.37236/7759","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i4p24/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"}],"best_oa_location":{"id":"doi:10.37236/7759","is_oa":true,"landing_page_url":"https://doi.org/10.37236/7759","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i4p24/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/G2782939152","display_name":"Factors in Graphs and Related Combinatorial Structures","funder_award_id":"1800761","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3421757491","display_name":"Sparse Discrete Structures","funder_award_id":"1500121","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5266904418","display_name":null,"funder_award_id":"DMS-1500121","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":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2999223905.pdf","grobid_xml":"https://content.openalex.org/works/W2999223905.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W130689240","https://openalex.org/W1511503743","https://openalex.org/W2027878806","https://openalex.org/W2047917450","https://openalex.org/W2086436037","https://openalex.org/W2090473566","https://openalex.org/W2094126876","https://openalex.org/W2099989374","https://openalex.org/W2132505043","https://openalex.org/W2254239669","https://openalex.org/W2950509301","https://openalex.org/W2962841333","https://openalex.org/W2963465322","https://openalex.org/W2963988718","https://openalex.org/W4235304406","https://openalex.org/W4296232596","https://openalex.org/W6600238479"],"related_works":["https://openalex.org/W3103832149","https://openalex.org/W981035018","https://openalex.org/W2354251330","https://openalex.org/W2383468429","https://openalex.org/W1981770164","https://openalex.org/W2353691047","https://openalex.org/W2397412345","https://openalex.org/W2910480389","https://openalex.org/W2045621845","https://openalex.org/W2988746064"],"abstract_inverted_index":{"Both":[0],"Cuckler":[1,90],"and":[2,58,91],"Yuster":[3,92],"independently":[4],"conjectured":[5],"that":[6,39,74],"when":[7],"$n$":[8,20,49],"is":[9,42],"an":[10,43],"odd":[11],"positive":[12],"multiple":[13],"of":[14,25,29,45,70,89],"$3$":[15,80],"every":[16,53],"regular":[17],"tournament":[18],"on":[19,48],"vertices":[21,50],"contains":[22],"a":[23,46,68],"collection":[24,69],"$n/3$":[26],"vertex-disjoint":[27,71],"copies":[28],"the":[30,87],"cyclic":[31,72],"triangle.":[32],"Soon":[33],"after,":[34],"Keevash":[35],"\\&amp;":[36],"Sudakov":[37],"proved":[38],"if":[40],"$G$":[41],"orientation":[44],"graph":[47],"in":[51],"which":[52],"vertex":[54],"has":[55],"both":[56],"indegree":[57],"outdegree":[59],"at":[60,78],"least":[61],"$(1/2":[62],"-":[63],"o(1))n$,":[64],"then":[65],"there":[66],"exists":[67],"triangles":[73],"covers":[75],"all":[76],"but":[77],"most":[79],"vertices.":[81],"In":[82],"this":[83],"paper,":[84],"we":[85],"resolve":[86],"conjecture":[88],"for":[93],"sufficiently":[94],"large":[95],"$n$.":[96]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
