文献类型：期刊文献

英文题名：Some spectral properties of A_α-matrix

作者：Zhang, Shuang[1];Zhu, Yan[1]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai, Peoples R China

年份：2019

卷号：11

期号：6

外文期刊名：DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS

收录：WOS:【ESCI(收录号:WOS:000504021400008)】；

基金：This research is supported by NSFC (Grant No. 11671135).

语种：英文

外文关键词：A(alpha)-matrix; A(alpha)-spectral radius; upper bound; eigenvalues

摘要：For a real number alpha is an element of [0, 1], the A(alpha)-matrix of a graph G is defined to be A(alpha)(G) = alpha D(G) + (1 - alpha)A(G), where A(G) and D(G) are the adjacency matrix and degree diagonal matrix of G, respectively. The A(alpha)-spectral radius of G, denoted by rho(alpha)(G), is the largest eigenvalue of A(alpha)(G). In this paper, we consider the upper bound of the A(alpha)-spectral radius rho(alpha)(G), also we give some upper bounds for the second largest eigenvalue of A(alpha)-matrix.