Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Emerging communities in networks - a flow of ties   Algorithms for search of communities in networks usually consist discrete
variations of links. Here we discuss a flow method, driven by a set of
differential equations. Two examples are demonstrated in detail. First is a
partition of a signed graph into two parts, where the proposed equations are
interpreted in terms of removal of a cognitive dissonance by agents placed in
the network nodes. There, the signs and values of links refer to positive or
negative interpersonal relationships of different strength. Second is an
application of a method akin to the previous one, dedicated to communities
identification, to the Sierpinski triangle of finite size. During the time
evolution, the related graphs are weighted; yet at the end the discrete
character of links is restored. In the case of the Sierpinski triangle, the
method is supplemented by adding a small noise to the initial connectivity
matrix. By breaking the symmetry of the network, this allows to a successful
handling of overlapping nodes.

11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph