Networks are finite metric spaces, with distances defined by the shortest paths between
nodes. However, this is not the only form of network geometry: two others are the geometry …

Cascading failure is a potentially devastating process that spreads on real-world complex
networks and can impact the integrity of wide-ranging infrastructures, natural systems and …

We introduce Mercator, a reliable embedding method to map real complex networks into
their hyperbolic latent geometry. The method assumes that the structure of networks is well …

One of the pillars of the geometric approach to networks has been the development of model-
based map** tools that embed real networks in its latent geometry. In particular, the tool …

Network embedding techniques aim to represent structural properties of graphs in geometric
space. Those representations are considered useful in downstream tasks such as link …

Several studies have suggested that functional connectivity (FC) is constrained by the
underlying structural connectivity (SC) and mutually correlated. However, not many studies …

Turing patterns, arising from the interplay between competing species of diffusive particles,
have long been an important concept for describing nonequilibrium self-organization in …

In many real network systems, nodes usually cooperate with each other and form groups to
enhance their robustness to risks. This motivates us to study an alternative type of …

Clustering–the tendency for neighbors of nodes to be connected–quantifies the coupling of
a complex network to its latent metric space. In random geometric graphs, clustering …

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 …