k一致超图的α谱极值结果  

α-Spectral extremal results for k-uniform hypergraphs

作　　者：朱忠熏[1] 王缘 张萌 ZHU Zhongxun;WANG Yuan;ZHANG Meng(College of Mathematics and Statistics,South-Central Minzu University,Wuhan 430074,China)

机构地区：[1]中南民族大学数学与统计学学院,武汉430074

出　　处：《中南民族大学学报（自然科学版）》2024年第4期573-576,共4页Journal of South-Central University for Nationalities：Natural Science Edition

基　　金：教育部协同育人创新项目(XTG20102);中南民族大学研究生创新基金后期资助项目(3212021yjshq016)。

摘　　要：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.

关 键 词：k一致超图 Aα张量 α谱半径 

分 类 号：O062.2[理学] O062.3