Characterizing the Analogy Between Hyperbolic Embedding and Community Structure of Complex Networks

Ali Faqeeh, Saeed Osat, Filippo Radicchi
2018 Physical Review Letters  
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
more » ... 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.
doi:10.1103/physrevlett.121.098301 pmid:30230906 fatcat:3wjnufzamrdgvfwwtgrxegvv4y