k一致超图的α谱极值结果

α-Spectral extremal results for k-uniform hypergraphs

设F是一个简单图,如果Berge F的每条边均由超边替换F中的边而得到,则Berge F为超图.超图G如果不包含子超图Berge F,则G是Berge F-free的.为此,基于Aα张量研究具有特殊结构的线性一致超图的谱-Turán-问题,分别证明了Berge C4-free和围长至少为5的线性一致超图的α谱极值.

Let F be a simple graph,and Berge F is a hypergraph if each edge of Berge F is obtained by replacing edges in F with hyperedges.Hypergraph is Berge F-free if it does not contain suphypergraph Berge F.The spectral Turan-problem of linear uniform hypergraphs with special structure based on Aα-tensors is studied,and prove the spectral extreme values of Berge C4-free and linear uniform hypergraphs with girth at least 5 respectively.