6 research outputs found
A Sharp upper bound for the spectral radius of a nonnegative matrix and applications
In this paper, we obtain a sharp upper bound for the spectral radius of a
nonnegative matrix. This result is used to present upper bounds for the
adjacency spectral radius, the Laplacian spectral radius, the signless
Laplacian spectral radius, the distance spectral radius, the distance Laplacian
spectral radius, the distance signless Laplacian spectral radius of a graph or
a digraph. These results are new or generalize some known results.Comment: 16 pages in Czechoslovak Math. J., 2016. arXiv admin note: text
overlap with arXiv:1507.0705
Bounds on the Spectral Radius of a Nonnegative Matrix and Its Applications
We obtain the sharp bounds for the spectral radius of a nonnegative matrix and then obtain some known results or new results by applying these bounds to a graph or a digraph and revise and improve two known results