Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diclique clustering in a directed random graph   We discuss a notion of clustering for directed graphs, which describes how
likely two followers of a node are to follow a common target. The associated
network motifs, called dicliques or bi-fans, have been found to be key
structural components in various real-world networks. We introduce a two-mode
statistical network model consisting of actors and auxiliary attributes, where
an actor i decides to follow an actor j whenever i demands an attribute
supplied by j. We show that the digraph admits nontrivial clustering properties
of the aforementioned type, as well as power-law indegree and outdegree
distributions.

31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ