{"title":"匹配数有界的图兰图","authors":"Noga Alon , Péter Frankl","doi":"10.1016/j.jctb.2023.12.002","DOIUrl":null,"url":null,"abstract":"<div><p><span>We determine the maximum possible number of edges of a graph with </span><em>n</em><span> vertices, matching number at most </span><em>s</em> and clique number at most <em>k</em> for all admissible values of the parameters.</p></div>","PeriodicalId":54865,"journal":{"name":"Journal of Combinatorial Theory Series B","volume":"165 ","pages":"Pages 223-229"},"PeriodicalIF":1.2000,"publicationDate":"2023-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Turán graphs with bounded matching number\",\"authors\":\"Noga Alon , Péter Frankl\",\"doi\":\"10.1016/j.jctb.2023.12.002\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p><span>We determine the maximum possible number of edges of a graph with </span><em>n</em><span> vertices, matching number at most </span><em>s</em> and clique number at most <em>k</em> for all admissible values of the parameters.</p></div>\",\"PeriodicalId\":54865,\"journal\":{\"name\":\"Journal of Combinatorial Theory Series B\",\"volume\":\"165 \",\"pages\":\"Pages 223-229\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2023-12-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Combinatorial Theory Series B\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0095895623001107\",\"RegionNum\":1,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Combinatorial Theory Series B","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0095895623001107","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
We determine the maximum possible number of edges of a graph with n vertices, matching number at most s and clique number at most k for all admissible values of the parameters.
期刊介绍:
The Journal of Combinatorial Theory publishes original mathematical research dealing with theoretical and physical aspects of the study of finite and discrete structures in all branches of science. Series B is concerned primarily with graph theory and matroid theory and is a valuable tool for mathematicians and computer scientists.