Let \(G\) be a simple connected graph. The spectral radius \(\rho(G)\) of \(G\) is the largest eigenvalue of its adjacency matrix. In this paper, we obtain two lower bounds of \(\rho(G)\) by two different methods, one of which is better than another in some conditions.
Citation
Xu Yang, Jiang Weixin, Chen Cang. Some Lower Bounds on the Spectral Radius of Graphs[J], Ars Combinatoria, Volume 084. 281-292. .