Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The eigenvalues of stochastic blockmodel graphs   We derive the limiting distribution for the largest eigenvalues of the
adjacency matrix for a stochastic blockmodel graph when the number of vertices
tends to infinity. We show that, in the limit, these eigenvalues are jointly
multivariate normal with bounded covariances. Our result extends the classic
result of F\"{u}redi and Koml\'{o}s on the fluctuation of the largest
eigenvalue for Erd\H{o}s-R\'{e}nyi graphs.

0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn