Department of Mathematics
On the spectral radius of graphs with connectivity at most k
In this paper, we study the spectral radius of graphs of order n with κ(G) ≤ k. We show that among those graphs, the maximal spectral radius is obtained uniquely at Kn k, which is the graph obtained by joining k edges from k vertices of K n-1 to an isolated vertex. We also show that the spectral radius of Kn k will be very close to n - 2 for a fixed k and a sufficiently large n. © 2008 Springer Science+Business Media, LLC.
Connectivity, Edge-connectivity, Energy levels, Spectral radius
Source Publication Title
Journal of Mathematical Chemistry
Li, J., W. C. Shiu, W. H. Chan, and A. Chang. "On the spectral radius of graphs with connectivity at most k." Journal of Mathematical Chemistry 46.2 (2009): 340-346.