非正则赋权有向图A_(α)谱半径的上界  

Upper Bounds on the A_(α) Spectral Radius of Irregular Weighted Digraphs

作　　者：席维鸽 许涛 XI Wei-ge;XU Tao(College of Science,Northwest A&F University,Shaanxi 712100,China)

机构地区：[1]College of Science,Northwest A&F University,Shaanxi 712100,China

出　　处：《Chinese Quarterly Journal of Mathematics》2024年第2期161-170,共10页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China (Grant No.12001434);The Natural Science Basic Research Program of Shaanxi Province (Grant No.2022JM-006);Chinese Universities Scientific Fund (Grant No.2452020021)

摘　　要：Let D be a weighted digraph with n vertices in which each arc has been assigned a positive number.Let A(D)be the adjacency matrix of D and W(D)=diag(w_(1)^(+),w_(2)^(+),...,w_(n)^(+)).In this paper,we study the matrix A_(α)(D),which is defined as Aα(D)=αW(D)+(1−α)A(D),0≤α≤1.The spectral radius of A_(α)(D)is called the Aαspectral radius of D,denoted byλα(D).We obtain some upper bounds on the Aαspectral radius of strongly connected irregular weighted digraphs.

关 键 词：Strongly connected Irregular weighted digraph A_(α)spectral radius Upper bounds 

分 类 号：O157.5[理学—数学]