{"id":"https://openalex.org/W3037062898","doi":"https://doi.org/10.37236/7715","title":"Lichiardopol\u2019s Conjecture on Disjoint Cycles in Tournaments","display_name":"Lichiardopol\u2019s Conjecture on Disjoint Cycles in Tournaments","publication_year":2020,"publication_date":"2020-06-12","ids":{"openalex":"https://openalex.org/W3037062898","doi":"https://doi.org/10.37236/7715","mag":"3037062898"},"language":"en","primary_location":{"id":"doi:10.37236/7715","is_oa":true,"landing_page_url":"https://doi.org/10.37236/7715","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i2p52/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/v27i2p52/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037727456","display_name":"Fuhong Ma","orcid":null},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Fuhong Ma","raw_affiliation_strings":["Departments of Mathematics, Zhejiang Normal University and University of Illinois Jinhua 321004 China and Urbana IL 61801 U.S.A","School of Mathematics Shandong University Jinan 250100 China"],"affiliations":[{"raw_affiliation_string":"Departments of Mathematics, Zhejiang Normal University and University of Illinois Jinhua 321004 China and Urbana IL 61801 U.S.A","institution_ids":[]},{"raw_affiliation_string":"School of Mathematics Shandong University Jinan 250100 China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017595199","display_name":"Douglas B. West","orcid":"https://orcid.org/0000-0001-8818-1667"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Douglas B. West","raw_affiliation_strings":["Departments of Mathematics, Zhejiang Normal University and University of Illinois Jinhua 321004 China and Urbana IL 61801 U.S.A","School of Mathematics Shandong University Jinan 250100 China"],"affiliations":[{"raw_affiliation_string":"Departments of Mathematics, Zhejiang Normal University and University of Illinois Jinhua 321004 China and Urbana IL 61801 U.S.A","institution_ids":[]},{"raw_affiliation_string":"School of Mathematics Shandong University Jinan 250100 China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101577009","display_name":"Jin Yan","orcid":"https://orcid.org/0000-0002-7943-6581"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jin Yan","raw_affiliation_strings":["School of Mathematics Shandong University Jinan 250100 China","Departments of Mathematics, Zhejiang Normal University and University of Illinois Jinhua 321004 China and Urbana IL 61801 U.S.A"],"affiliations":[{"raw_affiliation_string":"School of Mathematics Shandong University Jinan 250100 China","institution_ids":["https://openalex.org/I154099455"]},{"raw_affiliation_string":"Departments of Mathematics, Zhejiang Normal University and University of Illinois Jinhua 321004 China and Urbana IL 61801 U.S.A","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5037727456"],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":null,"apc_paid":null,"fwci":0.2073,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.50464755,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9667999744415283,"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":0.944100022315979,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.9220335483551025},{"id":"https://openalex.org/keywords/tournament","display_name":"Tournament","score":0.9166293144226074},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8800719976425171},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.8565137386322021},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8357992172241211},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.43996140360832214},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38683652877807617},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.029737144708633423}],"concepts":[{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.9220335483551025},{"id":"https://openalex.org/C136975688","wikidata":"https://www.wikidata.org/wiki/Q1320634","display_name":"Tournament","level":2,"score":0.9166293144226074},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8800719976425171},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.8565137386322021},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8357992172241211},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.43996140360832214},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38683652877807617},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.029737144708633423},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/7715","is_oa":true,"landing_page_url":"https://doi.org/10.37236/7715","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i2p52/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:10.37236/7715","is_oa":true,"landing_page_url":"https://doi.org/10.37236/7715","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i2p52/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/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4511496448","display_name":null,"funder_award_id":"NSFC 11871439","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4762199718","display_name":null,"funder_award_id":"11671232","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5081389119","display_name":null,"funder_award_id":"11871439","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5206094643","display_name":null,"funder_award_id":"11971439","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6221780053","display_name":null,"funder_award_id":"11971","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6313010171","display_name":null,"funder_award_id":"NNSFC 11871439","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7346218018","display_name":null,"funder_award_id":"11871","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8796474103","display_name":null,"funder_award_id":"11871439 and 11971439","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3037062898.pdf","grobid_xml":"https://content.openalex.org/works/W3037062898.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W1947520976","https://openalex.org/W1974181313","https://openalex.org/W1988947197","https://openalex.org/W1993784399","https://openalex.org/W2005173957","https://openalex.org/W2015810078","https://openalex.org/W2034156419","https://openalex.org/W2046194500","https://openalex.org/W2050644972","https://openalex.org/W2069056401","https://openalex.org/W2069250116","https://openalex.org/W2076723884","https://openalex.org/W2094126876","https://openalex.org/W2157737769","https://openalex.org/W2582224081","https://openalex.org/W2767587315","https://openalex.org/W2789747582","https://openalex.org/W2901440279","https://openalex.org/W2963116645","https://openalex.org/W2963698099","https://openalex.org/W6602559028","https://openalex.org/W6605475740","https://openalex.org/W6606439037","https://openalex.org/W6816251297"],"related_works":["https://openalex.org/W3123786980","https://openalex.org/W4287997709","https://openalex.org/W2994965880","https://openalex.org/W3083287393","https://openalex.org/W3094108612","https://openalex.org/W3125314910","https://openalex.org/W2982074041","https://openalex.org/W3103832149","https://openalex.org/W981035018","https://openalex.org/W1553466895"],"abstract_inverted_index":{"In":[0],"2010,":[1],"Lichiardopol":[2],"conjectured":[3],"for":[4,35,43],"$q":[5,44],"\\geqslant":[6,10,45],"3$":[7],"and":[8],"$k":[9],"1$":[11],"that":[12,40],"any":[13],"tournament":[14],"with":[15],"minimum":[16],"out-degree":[17],"at":[18],"least":[19],"$(q-1)k-1$":[20],"contains":[21],"$k$":[22],"disjoint":[23],"cycles":[24],"of":[25,51],"length":[26],"$q$.":[27],"Previously":[28],"the":[29,49,52],"conjecture":[30],"was":[31],"known":[32],"to":[33],"hold":[34],"$q\\leqslant":[36],"4$.":[37],"We":[38],"prove":[39],"it":[41],"holds":[42],"5$,":[46],"thereby":[47],"completing":[48],"proof":[50],"conjecture.":[53]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}