{"title":"论小块边缘炸裂的图兰数","authors":"Jialei Song, Changhong Lu, Long-Tu Yuan","doi":"10.1137/23m1623240","DOIUrl":null,"url":null,"abstract":"SIAM Journal on Discrete Mathematics, Volume 38, Issue 3, Page 2429-2446, September 2024. <br/> Abstract. The [math]-blow-up of a given graph is obtained by replacing each edge by a clique of order [math] where the new vertices of the cliques are distinct. Liu and Yuan determined the extremal graphs for the 3-blow-ups of a triangle and the [math]-blow-ups of any complete graph with order at most [math], respectively. We determine the Turán number for the [math]-blow-ups of a complete graph with order at least [math], completing the study of the extremal graphs for [math]-blow-ups of complete graphs.","PeriodicalId":49530,"journal":{"name":"SIAM Journal on Discrete Mathematics","volume":"88 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Turán Number of Edge Blow-Ups of Cliques\",\"authors\":\"Jialei Song, Changhong Lu, Long-Tu Yuan\",\"doi\":\"10.1137/23m1623240\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"SIAM Journal on Discrete Mathematics, Volume 38, Issue 3, Page 2429-2446, September 2024. <br/> Abstract. The [math]-blow-up of a given graph is obtained by replacing each edge by a clique of order [math] where the new vertices of the cliques are distinct. Liu and Yuan determined the extremal graphs for the 3-blow-ups of a triangle and the [math]-blow-ups of any complete graph with order at most [math], respectively. We determine the Turán number for the [math]-blow-ups of a complete graph with order at least [math], completing the study of the extremal graphs for [math]-blow-ups of complete graphs.\",\"PeriodicalId\":49530,\"journal\":{\"name\":\"SIAM Journal on Discrete Mathematics\",\"volume\":\"88 1\",\"pages\":\"\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-09-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SIAM Journal on Discrete Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1137/23m1623240\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SIAM Journal on Discrete Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1137/23m1623240","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
SIAM Journal on Discrete Mathematics, Volume 38, Issue 3, Page 2429-2446, September 2024. Abstract. The [math]-blow-up of a given graph is obtained by replacing each edge by a clique of order [math] where the new vertices of the cliques are distinct. Liu and Yuan determined the extremal graphs for the 3-blow-ups of a triangle and the [math]-blow-ups of any complete graph with order at most [math], respectively. We determine the Turán number for the [math]-blow-ups of a complete graph with order at least [math], completing the study of the extremal graphs for [math]-blow-ups of complete graphs.
期刊介绍:
SIAM Journal on Discrete Mathematics (SIDMA) publishes research papers of exceptional quality in pure and applied discrete mathematics, broadly interpreted. The journal''s focus is primarily theoretical rather than empirical, but the editors welcome papers that evolve from or have potential application to real-world problems. Submissions must be clearly written and make a significant contribution.
Topics include but are not limited to:
properties of and extremal problems for discrete structures
combinatorial optimization, including approximation algorithms
algebraic and enumerative combinatorics
coding and information theory
additive, analytic combinatorics and number theory
combinatorial matrix theory and spectral graph theory
design and analysis of algorithms for discrete structures
discrete problems in computational complexity
discrete and computational geometry
discrete methods in computational biology, and bioinformatics
probabilistic methods and randomized algorithms.