Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral coarse-graining of complex networks   Reducing the complexity of large systems described as complex networks is key
to understand them and a crucial issue is to know which properties of the
initial system are preserved in the reduced one. Here we use random walks to
design a coarse-graining scheme for complex networks. By construction the
coarse-graining preserves the slow modes of the walk, while reducing
significantly the size and the complexity of the network. In this sense our
coarse-graining allows to approximate large networks by smaller ones, keeping
most of their relevant spectral properties.

6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph