Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Percolation of a strongly connected component in simple directed random
  graphs with a given degree distribution   We study site and bond percolation on directed simple random graphs with a
given degree distribution and derive the expressions for the critical value of
the percolation probability above which the giant strongly connected component
emerges and the fraction of vertices in this component.

18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess