The Maximum α-spectral Radius of Unicyclic Hypergraphs with Fixed Diameter  

作　　者：Li Ying KANG Jing WANG Er Fang SHAN 

机构地区：[1]Department of Mathematics,Shanghai University,Shanghai 200444,P.R.China [2]School of Management,Shanghai University,Shanghai 200444,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2022年第5期924-936,共13页数学学报（英文版）

基　　金：Supported by the National Nature Science Foundation of China(Grant Nos.11871329,11971298)。

摘　　要：For 0≤α<1,theα-spectral radius of an r-uniform hypergraph G is the spectral radius of A_(α)(G)=αD(G)+(1-α)A(G),where D(G)and A(G)are the diagonal tensor of degrees and adjacency tensor of G,respectively.In this paper,we show the perturbation ofα-spectral radius by contracting an edge.Then we determine the unique unicyclic hypergraph with the maximumα-spectral radius among all r-uniform unicyclic hypergraphs with fixed diameter.We also determine the unique unicyclic hypergraph with the maximumα-spectral radius among all r-uniform unicyclic hypergraphs with given number of pendant edges.

关 键 词：Unicyclic hypergraph α-spectral radius principal eigenvector DIAMETER pendant edge 

分 类 号：O157.5[理学—数学]