Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterization of multiple topological scales in multiplex networks
  through supra-Laplacian eigengaps   Multilayer networks have been the subject of intense research during the last
few years, as they represent better the interdependent nature of many real
world systems. Here, we address the question of describing the three different
structural phases in which a multiplex network might exist. We show that each
phase can be characterized by the presence of gaps in the spectrum of the
supra-Laplacian of the multiplex network. We therefore unveil the existence of
different topological scales in the system, whose relation characterizes each
phase. Moreover, by capitalizing on the coarse-grained representation that is
given in terms of quotient graphs, we explain the mechanisms that produce those
gaps as well as their dynamical consequences.

11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ