典型文献
The Maximum Lagrangian of 5-uniform Hypergraphs without Containing Two Edges Intersecting at a Vertex
文献摘要：
Obtaining Turán densities of hypergraph through determining Lagrangian densities have been studied actively.Sidorenko showed that the Lagrangian density of an r-uniform hypergraph equals the Turán density of the extension of this hypergraph.Indeed,Lagrangian density and Turán density are the same for a large class of hypergraphs such as hypergraphs covering pairs.Let Pr,s be the r-uniform hypergraph with two edges intersecting at s vertices.Sidorenko determined the Lagrangian densities of Pr,s for r=3 and s=1 or 2,or r=4 and s=2 or 3.Hefetz and Keevash determined for r=3 and s=0,and Bene Watts,Norin and Yepremyan determined for r≥4 and s=0.The cases r=5 and s=4 or r=6 and s=5 were determined by Norin and Yepremyan.Jenssen showed for r=5,6 or 7,and s=3,4 or 5 respectively.The cases r=4 and s=1 or r=5 and s=2 were determined by Jiang,Peng and Wu,and Hu,Peng and Wu respectively.For r=5,the only remaining case is s=1.In this paper,we determine for this case.
文献关键词：
中图分类号：
作者姓名：
Biao WU;Yue Jian PENG
作者机构：
MOE-LCSM,School of Mathematics and Statistics,Hu'nan Normal University,Changsha 410081,P.R.China;School of Mathematics,Hu'nan University,Changsha 410082,P.R.China
文献出处：
引用格式：
[1]Biao WU;Yue Jian PENG-.The Maximum Lagrangian of 5-uniform Hypergraphs without Containing Two Edges Intersecting at a Vertex)[J].数学学报（英文版）,2022(05):877-889
A类：
Hypergraphs,Intersecting,Sidorenko,Hefetz,Keevash,Bene,Norin,Yepremyan,Jenssen
B类：
Maximum,Lagrangian,uniform,without,Containing,Two,Edges,Vertex,Obtaining,Tur,densities,through,determining,have,been,studied,actively,showed,that,density,equals,extension,this,Indeed,are,same,large,class,hypergraphs,such,covering,pairs,Let,Pr,two,edges,intersecting,vertices,determined,Watts,cases,were,by,respectively,Jiang,Peng,Wu,Hu,For,only,remaining,paper
AB值：
0.384482
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