The complexity of many biological, social and technological systems stems from the richness
of the interactions among their units. Over the past decades, a variety of complex systems …

Network-based modeling of complex systems and data using the language of graphs has
become an essential topic across a range of different disciplines. Arguably, this graph-based …

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 …

Complex networks have been successfully used to describe the spread of diseases in
populations of interacting individuals. Conversely, pairwise interactions are often not …

In the past 15 years, statistical physics has been successful as a framework for modelling
complex networks. On the theoretical side, this approach has unveiled a variety of physical …

A large variety of interacting complex systems are characterized by interactions occurring
between more than two nodes. These systems are described by simplicial complexes …

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 …

In social systems, not only do many interactions take place between pairs of individuals, but
also take place in groups of individuals. To model the rumor propagation with consideration …

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 …

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