文献类型：期刊文献

英文题名：The Nordhaus-Gaddum type inequalities of Aα-matrix

作者：Huang, Xing[1];Lin, Huiqiu[1];Xue, Jie[2]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai, Peoples R China;[2]Zhengzhou Univ, Sch Math & Stat, Zhengzhou, Henan, Peoples R China

年份：2020

卷号：365

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：;EI(收录号：20193807444254);WOS:【SCI-EXPANDED(收录号:WOS:000488954600031)】；

基金：This work was supported by the National Natural Science Foundation of China (No. 11771141) and Fundamental Research Funds for the Central Universities (No. 222201714049).

语种：英文

外文关键词：A(alpha)-matrix; Spectral radius; Nordhaus-Gaddum

摘要：For a real number alpha is an element of [0, 1], the A(alpha)-matrix of a graph G is defined as A(alpha)(G) = alpha D(G) + (1 - alpha)A(G), where A(G) and D(G) are the adjacency matrix and diagonal degree 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, the Nordhaus-Gaddum type bounds for the A(alpha)-spectral radius are considered. (C) 2019 Elsevier Inc. All rights reserved.