Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds on the spectral radius of nonnegative matrices and applications
  in graph spectra   In this paper, we give upper and lower bounds for the spectral radius of a
nonnegative irreducible matrix and characterize the equality cases. These
bounds theoretically improve and generalize some known results of Duan et
al.[X. Duan, B. Zhou, Sharp bounds on the spectral radius of a nonnegative
matrix, Linear Algebra Appl. (2013),
http://dx.doi.org/10.1016/j.laa.2013.08.026]. Finally, applying these bounds to
various matrices associated with a graph, we obtain some new upper and lower
bounds on various spectral radiuses of graphs, which generalize and improve
some known results.

22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex