Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tailored graph ensembles as proxies or null models for real networks II:
  results on directed graphs   We generate new mathematical tools with which to quantify the macroscopic
topological structure of large directed networks. This is achieved via a
statistical mechanical analysis of constrained maximum entropy ensembles of
directed random graphs with prescribed joint distributions for in- and
outdegrees and prescribed degree-degree correlation functions. We calculate
exact and explicit formulae for the leading orders in the system size of the
Shannon entropies and complexities of these ensembles, and for
information-theoretic distances. The results are applied to data on gene
regulation networks.

37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci