Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the spectral radius of block graphs having all their blocks of the
  same size   Let $\mathcal{B}(n,q)$ be the class of block graphs on $n$ vertices having
all their blocks of the same size. We prove that if $G\in \mathcal{B}(n,q)$ has
at most three pairwise adjacent cut vertices then the minimum spectral radius
$\rho(G)$ is attained at a unique graph. In addition, we present a lower bound
for $\rho(G)$ when $G\in \mathcal{B}(n,q)$.

23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex