Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Characterizing the analogy between hyperbolic embedding and community
  structure of complex networks   We show that the community structure of a network can be used as a coarse
version of its embedding in a hidden space with hyperbolic geometry. The
finding emerges from a systematic analysis of several real-world and synthetic
networks. We take advantage of the analogy for reinterpreting results
originally obtained through network hyperbolic embedding in terms of community
structure only. First, we show that the robustness of a multiplex network can
be controlled by tuning the correlation between the community structures across
different layers. Second, we deploy an efficient greedy protocol for network
navigability that makes use of routing tables based on community structure.

21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math