Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transforming complex network to the acyclic one   Acyclic networks are a class of complex networks in which links are directed
and don't have closed loops. Here we present an algorithm for transforming an
ordinary undirected complex network into an acyclic one. Further analysis of an
acyclic network allows finding structural properties of the network. With our
approach one can find the communities and key nodes in complex networks. Also
we propose a new parameter of complex networks which can mark most vulnerable
nodes of the system. The proposed algorithm can be applied to finding
communities and bottlenecks in general complex networks.

35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph