{"id":"https://openalex.org/W4366829720","doi":"https://doi.org/10.1017/s0963548323000081","title":"Clique-factors in graphs with sublinear -independence number","display_name":"Clique-factors in graphs with sublinear -independence number","publication_year":2023,"publication_date":"2023-04-24","ids":{"openalex":"https://openalex.org/W4366829720","doi":"https://doi.org/10.1017/s0963548323000081"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548323000081","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1017/s0963548323000081","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":["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/A5086267413","display_name":"Jie Han","orcid":"https://orcid.org/0000-0002-2013-2962"},"institutions":[{"id":"https://openalex.org/I125839683","display_name":"Beijing Institute of Technology","ror":"https://ror.org/01skt4w74","country_code":"CN","type":"education","lineage":["https://openalex.org/I125839683","https://openalex.org/I890469752"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Han","raw_affiliation_strings":["School of Mathematics and Statistics and Center for Applied Mathematics, Beijing Institute of Technology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics and Center for Applied Mathematics, Beijing Institute of Technology, Beijing, China","institution_ids":["https://openalex.org/I125839683"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058456428","display_name":"Ping Hu","orcid":"https://orcid.org/0000-0003-1430-8738"},"institutions":[{"id":"https://openalex.org/I157773358","display_name":"Sun Yat-sen University","ror":"https://ror.org/0064kty71","country_code":"CN","type":"education","lineage":["https://openalex.org/I157773358"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ping Hu","raw_affiliation_strings":["School of Mathematics, Sun Yat-sen University, Guangzhou, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Sun Yat-sen University, Guangzhou, China","institution_ids":["https://openalex.org/I157773358"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100399476","display_name":"Guanghui Wang","orcid":"https://orcid.org/0000-0002-3730-5575"},"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":"Guanghui Wang","raw_affiliation_strings":["School of Mathematics, Shandong University, Jinan, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088183664","display_name":"Donglei Yang","orcid":"https://orcid.org/0000-0002-4992-6555"},"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":"Donglei Yang","raw_affiliation_strings":["Data Science Institute, Shandong University, Shandong, China"],"affiliations":[{"raw_affiliation_string":"Data Science Institute, Shandong University, Shandong, China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5088183664"],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.11122519,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"17"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9994000196456909,"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/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9977999925613403,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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":0.8885363340377808},{"id":"https://openalex.org/keywords/independence-number","display_name":"Independence number","score":0.8571407794952393},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7546855211257935},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.589963436126709},{"id":"https://openalex.org/keywords/sublinear-function","display_name":"Sublinear function","score":0.5535286068916321},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5310186743736267},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5065890550613403},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46632176637649536},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4548840820789337},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12266343832015991}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8885363340377808},{"id":"https://openalex.org/C2984853995","wikidata":"https://www.wikidata.org/wiki/Q1060343","display_name":"Independence number","level":3,"score":0.8571407794952393},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7546855211257935},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.589963436126709},{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.5535286068916321},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5310186743736267},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5065890550613403},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46632176637649536},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4548840820789337},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12266343832015991},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548323000081","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1017/s0963548323000081","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W830927343","https://openalex.org/W1971539651","https://openalex.org/W1982831975","https://openalex.org/W2005223884","https://openalex.org/W2014564484","https://openalex.org/W2023242966","https://openalex.org/W2029374777","https://openalex.org/W2037951482","https://openalex.org/W2040379672","https://openalex.org/W2065634598","https://openalex.org/W2070834764","https://openalex.org/W2088592896","https://openalex.org/W2090526201","https://openalex.org/W2100437838","https://openalex.org/W2101846098","https://openalex.org/W2111794351","https://openalex.org/W2130956934","https://openalex.org/W2144292514","https://openalex.org/W2164680149","https://openalex.org/W2171957589","https://openalex.org/W2477674116","https://openalex.org/W2478927256","https://openalex.org/W2799994710","https://openalex.org/W2963269116","https://openalex.org/W2963638335","https://openalex.org/W2964315975","https://openalex.org/W2972129161","https://openalex.org/W3014219995","https://openalex.org/W3083517466","https://openalex.org/W3102068398","https://openalex.org/W3115851297","https://openalex.org/W3186350060","https://openalex.org/W4225275434","https://openalex.org/W4360602228"],"related_works":["https://openalex.org/W90906771","https://openalex.org/W2018828772","https://openalex.org/W2529185025","https://openalex.org/W2809723425","https://openalex.org/W2052708136","https://openalex.org/W2005302727","https://openalex.org/W3082028334","https://openalex.org/W72870998","https://openalex.org/W1973053550","https://openalex.org/W2963167154"],"abstract_inverted_index":{"Abstract":[0],"Given":[1],"a":[2,22,67],"graph":[3],"$G$":[4,54,93],"and":[5,37],"an":[6],"integer":[7],"$\\ell":[8],"\\ge":[9,102],"2$":[10,103],",":[11,61],"we":[12,78],"denote":[13],"by":[14],"$\\alpha":[15,56,95],"_{\\ell":[16,57],"}(G)$":[17],"the":[18,42,71,80],"maximum":[19],"size":[20],"of":[21,27,35,70],"$K_{\\ell":[23],"}$":[24],"-free":[25],"subset":[26],"vertices":[28],"in":[29,50,89],"$V(G)$":[30],".":[31,104],"A":[32],"recent":[33],"question":[34],"Nenadov":[36],"Pehova":[38],"asks":[39],"for":[40,86,98],"determining":[41],"best":[43],"possible":[44],"minimum":[45,83],"degree":[46,84],"conditions":[47],"forcing":[48],"clique-factors":[49],"$n$":[51,90],"-vertex":[52,91],"graphs":[53,92],"with":[55,94],"}(G)":[58],"=":[59],"o(n)$":[60],"which":[62],"can":[63],"be":[64],"seen":[65],"as":[66],"Ramsey\u2013Tur\u00e1n":[68],"variant":[69],"celebrated":[72],"Hajnal\u2013Szemer\u00e9di":[73],"theorem.":[74],"In":[75],"this":[76],"paper":[77],"find":[79],"asymptotical":[81],"sharp":[82],"threshold":[85],"$K_r$":[87],"-factors":[88],"_\\ell":[96],"(G)=n^{1-o(1)}$":[97],"all":[99],"$r\\ge":[100],"\\ell":[101]},"counts_by_year":[],"updated_date":"2025-12-24T23:09:58.560324","created_date":"2025-10-10T00:00:00"}
