Higher-order networks describe the many-body interactions of a large variety of complex
systems, ranging from the the brain to collaboration networks. Simplicial complexes are …

Network geometry is attracting increasing attention because it has a wide range of
applications, ranging from data mining to routing protocols in the Internet. At the same time …

Recently there is a surge of interest in network geometry and topology. Here we show that
the spectral dimension plays a fundamental role in establishing a clear relation between the …

The scale-free (SF) structures that commonly appear in many complex networks are a hot
topic in social, biological, and information sciences. These self-organized generation …

Simplicial complexes describe collaboration networks, protein interaction networks, and
brain networks and in general network structures in which the interactions can include more …

The dynamics of networks of neuronal cultures has been recently shown to be strongly
dependent on the network geometry and in particular on their dimensionality. However, this …

A vast variety of real-life networks display the ubiquitous presence of scale-free
phenomenon and small-world effect, both of which play a significant role in the dynamical …

Many real networks share three generic properties: they are scale-free, display a small-
world effect, and show a power law strength-degree correlation. In this paper, we propose a …

Dimension governs dynamical processes on networks. The social and technological
networks which we encounter in everyday life span a wide range of dimensions, but studies …

In this paper we find an exact analytical expression for the number of spanning trees in
Apollonian networks. This parameter can be related to significant topological and dynamic …