典型文献
The Maximum α-spectral Radius of Unicyclic Hypergraphs with Fixed Diameter
文献摘要：
For 0≤α＜1,the α-spectral radius of an r-uniform hypergraph G is the spectral radius of Aα(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 of α-spectral radius by contracting an edge.Then we determine the unique unicyclic hypergraph with the maximum α-spectral radius among all r-uniform unicyclic hypergraphs with fixed diameter.We also determine the unique unicyclic hypergraph with the maximum α-spectral radius among all r-uniform unicyclic hypergraphs with given number of pendant edges.
文献关键词：
中图分类号：
作者姓名：
Li Ying KANG;Jing WANG;Er Fang SHAN
作者机构：
Department of Mathematics,Shanghai University,Shanghai 200444,P.R.China;School of Management,Shanghai University,Shanghai 200444,P.R.China
文献出处：
引用格式：
[1]Li Ying KANG;Jing WANG;Er Fang SHAN-.The Maximum α-spectral Radius of Unicyclic Hypergraphs with Fixed Diameter)[J].数学学报（英文版）,2022(05):924-936
A类：
Hypergraphs
B类：
Maximum,spectral,Radius,Unicyclic,Fixed,Diameter,For,radius,uniform,where,are,diagonal,tensor,degrees,adjacency,respectively,In,this,paper,we,show,perturbation,by,contracting,Then,determine,unique,unicyclic,maximum,among,all,hypergraphs,fixed,diameter,We,also,given,number,pendant,edges
AB值：
0.488869
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