文献类型：期刊文献

英文题名：A sharp lower bound of the spectral radius with application to the energy of a graph

作者：Guo, Ji-Ming[1];Yu, Meng-Ni[1]

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

年份：2021

卷号：293

起止页码：59

外文期刊名：DISCRETE APPLIED MATHEMATICS

收录：;EI(收录号：20210509857961);WOS:【SCI-EXPANDED(收录号:WOS:000674743200007)】；

基金：This research is supported by NSFC (No. 11371372).

语种：英文

外文关键词：Spectral radius; Energy; Lower bound; Graph

摘要：The spectral radius rho(G) of a graph G is the largest eigenvalue of its adjacency matrix A(G). In this paper, we first give a sharp lower bound of the spectral radius of a graph G in terms of the degree and the average 2-degree which generalizes a result of Das and Kumar (2003), and then as an application, a sharp upper bound of the energy of G is given which generalizes a result of Liu et al. (2007). (C) 2021 Elsevier B.V. All rights reserved.