{"id":"https://openalex.org/W4387779320","doi":"https://doi.org/10.1137/21m1440037","title":"The Fractional Chromatic Number of \\(\\boldsymbol{K_{\\Delta }}\\)-Free Graphs","display_name":"The Fractional Chromatic Number of \\(\\boldsymbol{K_{\\Delta }}\\)-Free Graphs","publication_year":2023,"publication_date":"2023-10-19","ids":{"openalex":"https://openalex.org/W4387779320","doi":"https://doi.org/10.1137/21m1440037"},"language":"en","primary_location":{"id":"doi:10.1137/21m1440037","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/21m1440037","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5013893530","display_name":"Xiaolan Hu","orcid":"https://orcid.org/0000-0002-2548-8810"},"institutions":[{"id":"https://openalex.org/I40963666","display_name":"Central China Normal University","ror":"https://ror.org/03x1jna21","country_code":"CN","type":"education","lineage":["https://openalex.org/I40963666"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xiaolan Hu","raw_affiliation_strings":["School of Mathematics and Statistics & Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan, 430079, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics & Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan, 430079, People\u2019s Republic of China","institution_ids":["https://openalex.org/I40963666"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064082253","display_name":"Xing Peng","orcid":"https://orcid.org/0000-0002-6177-3715"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xing Peng","raw_affiliation_strings":["Corresponding author. Center for Pure Mathematics, School of Mathematical Sciences, Anhui University, Hefei, 230601, People\u2019s Republic of China"],"affiliations":[{"raw_affiliation_string":"Corresponding author. Center for Pure Mathematics, School of Mathematical Sciences, Anhui University, Hefei, 230601, People\u2019s Republic of China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013893530"],"corresponding_institution_ids":["https://openalex.org/I40963666"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.26726727,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"37","issue":"4","first_page":"2486","last_page":"2507"},"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":0.9994000196456909,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9977999925613403,"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/mathematics","display_name":"Mathematics","score":0.8737473487854004},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7960741519927979},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.6704869270324707},{"id":"https://openalex.org/keywords/clique-number","display_name":"Clique number","score":0.6239311099052429},{"id":"https://openalex.org/keywords/simple-graph","display_name":"Simple graph","score":0.527698278427124},{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.5175756216049194},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.49515119194984436},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.48570284247398376},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4815969169139862},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07199051976203918}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8737473487854004},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7960741519927979},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.6704869270324707},{"id":"https://openalex.org/C2985491264","wikidata":"https://www.wikidata.org/wiki/Q761631","display_name":"Clique number","level":3,"score":0.6239311099052429},{"id":"https://openalex.org/C2993105083","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Simple graph","level":3,"score":0.527698278427124},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.5175756216049194},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.49515119194984436},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.48570284247398376},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4815969169139862},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07199051976203918}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m1440037","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/21m1440037","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G437435267","display_name":null,"funder_award_id":"11971196","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7156036062","display_name":null,"funder_award_id":"12071002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8301390481","display_name":null,"funder_award_id":"2208085J22","funder_id":"https://openalex.org/F4320334897","funder_display_name":"Natural Science Foundation of Anhui Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334897","display_name":"Natural Science Foundation of Anhui Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1985591473","https://openalex.org/W2001008110","https://openalex.org/W2006668015","https://openalex.org/W2011731192","https://openalex.org/W2032893230","https://openalex.org/W2080547399","https://openalex.org/W2087063742","https://openalex.org/W2089435810","https://openalex.org/W2095691392","https://openalex.org/W2108519327","https://openalex.org/W2110866863","https://openalex.org/W2129935790","https://openalex.org/W2962876501","https://openalex.org/W4210634265","https://openalex.org/W4251283908"],"related_works":["https://openalex.org/W300955832","https://openalex.org/W2563006681","https://openalex.org/W190087469","https://openalex.org/W3026920247","https://openalex.org/W1644688562","https://openalex.org/W2781377992","https://openalex.org/W2982077839","https://openalex.org/W3145951188","https://openalex.org/W4287654486","https://openalex.org/W2074614998"],"abstract_inverted_index":{"For":[0],"a":[1],"simple":[2],"graph":[3],",":[4,37],"let":[5],"be":[6],"the":[7,29,53,73],"fractional":[8],"chromatic":[9],"number":[10],"of":[11],".":[12,50,91],"In":[13],"this":[14],"paper,":[15],"we":[16,33],"aim":[17],"to":[18],"establish":[19],"upper":[20],"bounds":[21],"on":[22,28],"for":[23,36,71,90],"those":[24],"graphs":[25],"with":[26],"restrictions":[27],"clique":[30],"number.":[31],"Namely,":[32],"prove":[34],"that":[35],"if":[38],"has":[39],"maximum":[40],"degree":[41],"at":[42],"most":[43],"and":[44,60,72,78],"is":[45],"-free,":[46],"then":[47],"unless":[48],"or":[49],"This":[51],"improves":[52],"result":[54,74],"in":[55,75],"[A.":[56],"King,":[57,81],"L.":[58],"Lu,":[59],"X.":[61],"Peng,":[62],"SIAM":[63,82],"J.":[64,83],"Discrete":[65,84],"Math.,":[66,85],"26":[67],"(2012),":[68],"pp.":[69,88],"452\u2013471]":[70],"[K.":[76],"Edwards":[77],"A.":[79],"D.":[80],"27":[86],"(2013),":[87],"1184\u20131208]":[89]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
