Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral Radius and maximum degree of connected graphs   We give an upper bound on the maximal eigenvalue of the adjacency matrix of a
connected graph in terms of its maximum degree, diameter and order. This bound
is best possible up to a constant factor and improves prevoius results of
Stevanovic, Zhang, and Alon and Sudakov.

31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph