We study the spectral radius of graphs with \(n\) vertices and a \(k\)-vertex cut and describe the graph which has the maximal spectral radius in this class. We also discuss the limit point of the maximal spectral radius.
Citation
Guoping Wang, Qiongxiang Huang, Jing Cai. On the Spectral Radius of Graphs with \(k\)-Vertex Cut[J], Ars Combinatoria, Volume 089. 431-435. .