Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algorithmic complexity of multiplex networks   Multilayer networks preserve full information about the different
interactions among the constituents of a complex system, and have recently
proven quite useful in modelling transportation networks, social circles, and
the human brain. A fundamental and still open problem is to assess if and when
the multilayer representation of a system provides a qualitatively better model
than the classical single-layer aggregated network. Here we tackle this problem
from an algorithmic information theory perspective. We propose an intuitive way
to encode a multilayer network into a bit string, and we define the complexity
of a multilayer network as the ratio of the Kolmogorov complexity of the bit
strings associated to the multilayer and to the corresponding aggregated graph.
We find that there exists a maximum amount of additional information that a
multilayer model can encode with respect to the equivalent single-layer graph.
We show how our complexity measure can be used to obtain low-dimensional
representations of multidimensional systems, to cluster multilayer networks
into a small set of meaningful super-families, and to detect tipping points in
the evolution of different time-varying multilayer graphs. Interestingly, the
low-dimensional multiplex networks obtained with the proposed method also
retain most of the dynamical properties of the original systems, as
demonstrated for instance by the preservation of the epidemic threshold in the
multiplex SIS model. These results suggest that information-theoretic
approaches can be effectively employed for a more systematic analysis of static
and time-varying multidimensional complex systems.

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The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph