Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Configuration Model for Partially Directed Graphs   The configuration model was originally defined for undirected networks and
has recently been extended to directed networks. Many empirical networks are
however neither undirected nor completely directed, but instead usually
partially directed meaning that certain edges are directed and others are
undirected. In the paper we define a configuration model for such networks
where nodes have in-, out-, and undirected degrees that may be dependent. We
prove conditions under which the resulting degree distributions converge to the
intended degree distributions. The new model is shown to better approximate
several empirical networks compared to undirected and completely directed
networks.

28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an