Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral Radius of Bipartite Graphs   Let k, p, q be positive integers with k < p < q+1. We prove that the maximum
spectral radius of a simple bipartite graph obtained from the complete
bipartite graph Kp,q of bipartition orders p and q by deleting k edges is
attained when the deleting edges are all incident on a common vertex which is
located in the partite set of order q. Our method is based on new sharp upper
bounds on the spectral radius of bipartite graphs in terms of their degree
sequences.

32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom