Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counting acyclic and strong digraphs by descents   A descent of a labeled digraph is a directed edge (s, t) with s > t. We count
strong tournaments, strong digraphs, and acyclic digraphs by descents and
edges. To count strong tournaments we use Eulerian generating functions and to
count strong and acyclic digraphs we use a new type of generating function that
we call a graphic Eulerian generating function.

32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an