There is increasing evidence that dense networks occur in on-line social networks,
recommendation networks and in the brain. In addition to being dense, these networks are …

Simplicial complexes are generalized network structures able to encode interactions
occurring between more than two nodes. Simplicial complexes describe a large variety of …

Simplicial complexes constitute the underlying topology of interacting complex systems
including among the others brain and social interaction networks. They are generalized …

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

Many real-world networks exhibit dense and scale-free properties, that is, the amount of
connections among the nodes is large and the degree distribution follows a power-law P …

One of the major questions in complex network research is to identify the range of
mechanisms by which a complex network can self organize into a scale-free state. In this …

We propose a model for growing networks based on a finite memory of the nodes. The
model shows stylized features of real-world networks: power-law distribution of degree …

Real growing networks such as the World Wide Web or personal connection based
networks are characterized by a high degree of clustering, in addition to the small-world …

The mathematical framework for small-world networks proposed in a seminal paper by Watts
and Strogatz sparked a widespread interest in modeling complex networks in the past …

Simplicial complexes are now a popular alternative to networks when it comes to describing
the structure of complex systems, primarily because they encode multinode interactions …