On the Turán Density of Uniform Hypergraphs  

作　　者：An CHANG Guo-rong GAO 

机构地区：[1]Center for Discrete Mathematics and Theoretical Computer Science,Fuzhou University,Fuzhou 350108,China

出　　处：《Acta Mathematicae Applicatae Sinica》2023年第3期638-646,共9页应用数学学报（英文版）

基　　金：the National Natural Science Foundation of China(No.12171089)。

摘　　要：Let p,q be two positive integers.The 3-graph F(p,q)is obtained from the complete 3-graph K_(p)^(3)by adding q new vertices and P_(q/2)new edges of the form vxy for which v∈V(K_p~3)and{x,y}are new vertices.It frequently appears in many literatures on the Turán number or Turán density of hypergraphs.In this paper,we first construct a new class of r-graphs which can be regarded as a generalization of the 3-graph F(p,q),and prove that these r-graphs have the same Turán density under some situations.Moreover,we investigate the Turán density of the F(p,q)for small p,q and obtain some new bounds on their Turán densities.

关 键 词：HYPERGRAPH Turán density BOUND 

分 类 号：O157.5[理学—数学]