{"id":"https://openalex.org/W4379185428","doi":"https://doi.org/10.37236/10628","title":"Tur\u00e1n Numbers and Anti-Ramsey Numbers for Short Cycles in Complete $3$-Partite Graphs","display_name":"Tur\u00e1n Numbers and Anti-Ramsey Numbers for Short Cycles in Complete $3$-Partite Graphs","publication_year":2023,"publication_date":"2023-06-02","ids":{"openalex":"https://openalex.org/W4379185428","doi":"https://doi.org/10.37236/10628"},"language":"en","primary_location":{"id":"doi:10.37236/10628","is_oa":true,"landing_page_url":"https://doi.org/10.37236/10628","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i2p35/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/v30i2p35/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5038777508","display_name":"Chunqiu Fang","orcid":"https://orcid.org/0000-0001-8517-6651"},"institutions":[{"id":"https://openalex.org/I2799850029","display_name":"Dongguan University of Technology","ror":"https://ror.org/01m8p7q42","country_code":"CN","type":"education","lineage":["https://openalex.org/I2799850029"]},{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]},{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]},{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]},{"id":"https://openalex.org/I4390039265","display_name":"PRG S&Tech (South Korea)","ror":"https://ror.org/02sr2ee22","country_code":null,"type":"company","lineage":["https://openalex.org/I4390039265"]},{"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"]}],"countries":["CN","HU"],"is_corresponding":true,"raw_author_name":"Chunqiu Fang","raw_affiliation_strings":["Alfr\u00e9d R\u00e9nyi Institute of Mathematics Central European University Budapest, Hungary","Central European University Budapest, Hungary","Northwestern Polytechnical University Xi'an, Shaanxi 710129, China","School of Computer Science and Technology","Dongguan University of Technology Dongguan, Guangdong 523808, China","Department of Mathematics Southern University of Science and Technology Shenzhen, Guangdong 518055, China Xi'an-Budapest Joint Research Center for Combinatorics","School of Science Nanjing University of Posts and Telecommunications Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics Central European University Budapest, Hungary","institution_ids":["https://openalex.org/I127817813"]},{"raw_affiliation_string":"Central European University Budapest, Hungary","institution_ids":[]},{"raw_affiliation_string":"Northwestern Polytechnical University Xi'an, Shaanxi 710129, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"School of Computer Science and Technology","institution_ids":["https://openalex.org/I4390039265"]},{"raw_affiliation_string":"Dongguan University of Technology Dongguan, Guangdong 523808, China","institution_ids":["https://openalex.org/I2799850029"]},{"raw_affiliation_string":"Department of Mathematics Southern University of Science and Technology Shenzhen, Guangdong 518055, China Xi'an-Budapest Joint Research Center for Combinatorics","institution_ids":["https://openalex.org/I3045169105"]},{"raw_affiliation_string":"School of Science Nanjing University of Posts and Telecommunications Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010046232","display_name":"Ervin Gy\u0151ri","orcid":"https://orcid.org/0000-0001-5691-2242"},"institutions":[{"id":"https://openalex.org/I2799850029","display_name":"Dongguan University of Technology","ror":"https://ror.org/01m8p7q42","country_code":"CN","type":"education","lineage":["https://openalex.org/I2799850029"]},{"id":"https://openalex.org/I4390039265","display_name":"PRG S&Tech (South Korea)","ror":"https://ror.org/02sr2ee22","country_code":null,"type":"company","lineage":["https://openalex.org/I4390039265"]},{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]},{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]},{"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/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN","HU"],"is_corresponding":false,"raw_author_name":"Ervin Gy\u0151ri","raw_affiliation_strings":["Central European University Budapest, Hungary","Department of Mathematics Southern University of Science and Technology Shenzhen, Guangdong 518055, China Xi'an-Budapest Joint Research Center for Combinatorics","School of Computer Science and Technology","School of Science Nanjing University of Posts and Telecommunications Nanjing, China","Alfr\u00e9d R\u00e9nyi Institute of Mathematics Central European University Budapest, Hungary","Northwestern Polytechnical University Xi'an, Shaanxi 710129, China","Dongguan University of Technology Dongguan, Guangdong 523808, China"],"affiliations":[{"raw_affiliation_string":"Central European University Budapest, Hungary","institution_ids":[]},{"raw_affiliation_string":"Department of Mathematics Southern University of Science and Technology Shenzhen, Guangdong 518055, China Xi'an-Budapest Joint Research Center for Combinatorics","institution_ids":["https://openalex.org/I3045169105"]},{"raw_affiliation_string":"School of Computer Science and Technology","institution_ids":["https://openalex.org/I4390039265"]},{"raw_affiliation_string":"School of Science Nanjing University of Posts and Telecommunications Nanjing, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics Central European University Budapest, Hungary","institution_ids":["https://openalex.org/I127817813"]},{"raw_affiliation_string":"Northwestern Polytechnical University Xi'an, Shaanxi 710129, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Dongguan University of Technology Dongguan, Guangdong 523808, China","institution_ids":["https://openalex.org/I2799850029"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082778925","display_name":"Chuanqi Xiao","orcid":"https://orcid.org/0000-0001-9521-6338"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]},{"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/I2799850029","display_name":"Dongguan University of Technology","ror":"https://ror.org/01m8p7q42","country_code":"CN","type":"education","lineage":["https://openalex.org/I2799850029"]},{"id":"https://openalex.org/I4390039265","display_name":"PRG S&Tech (South Korea)","ror":"https://ror.org/02sr2ee22","country_code":null,"type":"company","lineage":["https://openalex.org/I4390039265"]},{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]},{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN","HU"],"is_corresponding":false,"raw_author_name":"Chuanqi Xiao","raw_affiliation_strings":["Alfr\u00e9d R\u00e9nyi Institute of Mathematics Central European University Budapest, Hungary","Dongguan University of Technology Dongguan, Guangdong 523808, China","Department of Mathematics Southern University of Science and Technology Shenzhen, Guangdong 518055, China Xi'an-Budapest Joint Research Center for Combinatorics","Central European University Budapest, Hungary","School of Science Nanjing University of Posts and Telecommunications Nanjing, China","School of Computer Science and Technology","Northwestern Polytechnical University Xi'an, Shaanxi 710129, China"],"affiliations":[{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics Central European University Budapest, Hungary","institution_ids":["https://openalex.org/I127817813"]},{"raw_affiliation_string":"Dongguan University of Technology Dongguan, Guangdong 523808, China","institution_ids":["https://openalex.org/I2799850029"]},{"raw_affiliation_string":"Department of Mathematics Southern University of Science and Technology Shenzhen, Guangdong 518055, China Xi'an-Budapest Joint Research Center for Combinatorics","institution_ids":["https://openalex.org/I3045169105"]},{"raw_affiliation_string":"Central European University Budapest, Hungary","institution_ids":[]},{"raw_affiliation_string":"School of Science Nanjing University of Posts and Telecommunications Nanjing, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"School of Computer Science and Technology","institution_ids":["https://openalex.org/I4390039265"]},{"raw_affiliation_string":"Northwestern Polytechnical University Xi'an, Shaanxi 710129, China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091011131","display_name":"Jimeng Xiao","orcid":"https://orcid.org/0000-0002-4358-7388"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]},{"id":"https://openalex.org/I2799850029","display_name":"Dongguan University of Technology","ror":"https://ror.org/01m8p7q42","country_code":"CN","type":"education","lineage":["https://openalex.org/I2799850029"]},{"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/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]},{"id":"https://openalex.org/I4390039265","display_name":"PRG S&Tech (South Korea)","ror":"https://ror.org/02sr2ee22","country_code":null,"type":"company","lineage":["https://openalex.org/I4390039265"]},{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN","HU"],"is_corresponding":false,"raw_author_name":"Jimeng Xiao","raw_affiliation_strings":["Department of Mathematics Southern University of Science and Technology Shenzhen, Guangdong 518055, China Xi'an-Budapest Joint Research Center for Combinatorics","Northwestern Polytechnical University Xi'an, Shaanxi 710129, China","Dongguan University of Technology Dongguan, Guangdong 523808, China","Central European University Budapest, Hungary","School of Computer Science and Technology","Alfr\u00e9d R\u00e9nyi Institute of Mathematics Central European University Budapest, Hungary","School of Science Nanjing University of Posts and Telecommunications Nanjing, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics Southern University of Science and Technology Shenzhen, Guangdong 518055, China Xi'an-Budapest Joint Research Center for Combinatorics","institution_ids":["https://openalex.org/I3045169105"]},{"raw_affiliation_string":"Northwestern Polytechnical University Xi'an, Shaanxi 710129, China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Dongguan University of Technology Dongguan, Guangdong 523808, China","institution_ids":["https://openalex.org/I2799850029"]},{"raw_affiliation_string":"Central European University Budapest, Hungary","institution_ids":[]},{"raw_affiliation_string":"School of Computer Science and Technology","institution_ids":["https://openalex.org/I4390039265"]},{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics Central European University Budapest, Hungary","institution_ids":["https://openalex.org/I127817813"]},{"raw_affiliation_string":"School of Science Nanjing University of Posts and Telecommunications Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5038777508"],"corresponding_institution_ids":["https://openalex.org/I127817813","https://openalex.org/I17145004","https://openalex.org/I2799850029","https://openalex.org/I3045169105","https://openalex.org/I41198531","https://openalex.org/I4390039265"],"apc_list":null,"apc_paid":null,"fwci":1.3489,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.72824275,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"30","issue":"2","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":0.9997000098228455,"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":0.9997000098228455,"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":0.9934999942779541,"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":0.9886999726295471,"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":0.8802820444107056},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5894133448600769},{"id":"https://openalex.org/keywords/multipartite","display_name":"Multipartite","score":0.5505979061126709},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.47780758142471313},{"id":"https://openalex.org/keywords/ramseys-theorem","display_name":"Ramsey's theorem","score":0.4719720780849457},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.40821248292922974},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2413182556629181}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8802820444107056},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5894133448600769},{"id":"https://openalex.org/C166733315","wikidata":"https://www.wikidata.org/wiki/Q6934831","display_name":"Multipartite","level":4,"score":0.5505979061126709},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.47780758142471313},{"id":"https://openalex.org/C44115641","wikidata":"https://www.wikidata.org/wiki/Q918099","display_name":"Ramsey's theorem","level":3,"score":0.4719720780849457},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.40821248292922974},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2413182556629181},{"id":"https://openalex.org/C121040770","wikidata":"https://www.wikidata.org/wiki/Q215675","display_name":"Quantum entanglement","level":3,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/10628","is_oa":true,"landing_page_url":"https://doi.org/10.37236/10628","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i2p35/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"},{"id":"pmh:oai:real.mtak.hu:162694","is_oa":true,"landing_page_url":null,"pdf_url":"http://real.mtak.hu/162694/1/2011.13715v1.pdf","source":{"id":"https://openalex.org/S4306400081","display_name":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210140733","host_organization_name":"Library and Information Centre of the Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I4210140733"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.37236/10628","is_oa":true,"landing_page_url":"https://doi.org/10.37236/10628","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i2p35/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/G1121271761","display_name":null,"funder_award_id":"Program","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1748000517","display_name":null,"funder_award_id":"NKFIH","funder_id":"https://openalex.org/F4320336675","funder_display_name":"National Research, Development and Innovation Office"},{"id":"https://openalex.org/G2572250091","display_name":null,"funder_award_id":"K116769","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"},{"id":"https://openalex.org/G2705198215","display_name":null,"funder_award_id":"K132696","funder_id":"https://openalex.org/F4320336675","funder_display_name":"National Research, Development and Innovation Office"},{"id":"https://openalex.org/G2981938667","display_name":null,"funder_award_id":"Shenzhen","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/G3516857877","display_name":null,"funder_award_id":"207137","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3730235908","display_name":null,"funder_award_id":"116769","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"},{"id":"https://openalex.org/G4264400871","display_name":null,"funder_award_id":"K132696","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"},{"id":"https://openalex.org/G5167091242","display_name":null,"funder_award_id":"No. 1","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5297607656","display_name":null,"funder_award_id":"K116769","funder_id":"https://openalex.org/F4320336675","funder_display_name":"National Research, Development and Innovation Office"},{"id":"https://openalex.org/G5939423041","display_name":null,"funder_award_id":"Technology","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6801685960","display_name":null,"funder_award_id":"12171452","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8550484722","display_name":null,"funder_award_id":"132696","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"},{"id":"https://openalex.org/G8990839635","display_name":null,"funder_award_id":"12071370","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"},{"id":"https://openalex.org/F4320326762","display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal","ror":null},{"id":"https://openalex.org/F4320336675","display_name":"National Research, Development and Innovation Office","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4379185428.pdf"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W2096875564","https://openalex.org/W3037448076","https://openalex.org/W3187063184","https://openalex.org/W4313292816","https://openalex.org/W6780212085"],"related_works":["https://openalex.org/W2046202915","https://openalex.org/W2101126588","https://openalex.org/W2134378549","https://openalex.org/W1561903201","https://openalex.org/W1605507094","https://openalex.org/W2043020651","https://openalex.org/W2990545556","https://openalex.org/W2902364522","https://openalex.org/W2018966352","https://openalex.org/W1970497402"],"abstract_inverted_index":{"We":[0,49],"call":[1],"a":[2],"$4$-cycle":[3],"in":[4,19,38],"$K_{n_{1},":[5,23],"n_{2},":[6,24],"n_{3}}$":[7,25],"multipartite":[8],"(denoted":[9],"by":[10],"$C_{4}^{\\text{multi}}$)":[11],"if":[12],"it":[13],"contains":[14],"at":[15],"least":[16],"one":[17],"vertex":[18],"each":[20],"part":[21],"of":[22,30],".":[26],"The":[27],"Tur\u00e1n":[28],"number":[29,46],"$":[31],"C_{4}^{\\text{multi}})$":[32],"and":[33],"$\\{C_{3},":[34],"C_{4}^{\\text{multi}}\\})$":[35],"is":[36],"determined":[37],"the":[39,44],"paper":[40],"as":[41,43],"well":[42],"anti-Ramsey":[45],"$\\text{ar}(K_{n_{1},n_{2},n_{3}},":[47],"C_{4}^{\\text{multi}})$.":[48],"prove":[50],"that":[51],"$\\text{ex}(K_{n_{1},n_{2},n_{3}},":[52],"C_{4}^{\\text{multi}})=n_{1}n_{2}+2n_{3}$":[53],"and$\\text{ar}(K_{n_{1},n_{2},n_{3}},":[54],"C_{4}^{\\text{multi}})=\\text{ex}(K_{n_{1},n_{2},n_{3}},":[55],"\\{C_{3},":[56],"C_{4}^{\\text{multi}}\\})+1=n_{1}n_{2}+n_{3}+1,$":[57],"where":[58],"$n_{1}\\ge":[59],"n_{2}\\ge":[60],"n_{3}\\ge":[61],"1.$":[62]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
