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.

Publication Date:
Aug 29 2018
Date Submitted:
Jun 28 2019
Physical Review Letters
External Resources:

 Record created 2019-06-28, last modified 2019-08-06

Rate this document:

Rate this document:
(Not yet reviewed)