All beauty, richness and harmony in the emergent dynamics of a complex system largely
depend on the specific way in which its elementary components interact. The last twenty-five …

Gathering events, eg, going to gyms and meetings, are ubiquitous and crucial in the
spreading phenomena, which induce higher-order interactions, and thus can be described …

Hypergraphs that can depict interactions beyond pairwise edges have emerged as an
appropriate representation for modeling polyadic relations in complex systems. With the …

Hyperedge is a common structure that represents high-order interactions between nodes in
complex networks, and multi-layer networks provide more diverse node interactions than …

A hypergraph is a data structure composed of nodes and hyperedges, where each
hyperedge is an any-sized subset of nodes. Due to the flexibility in hyperedge size …

Eigenvector centrality refers to the principal eigenvector of the adjacency matrix of a graph.
The adjacency matrix can be regarded as the matrix describing the one-step walks on the …

Many complex systems often contain interactions between more than two nodes, known as
higher-order interactions, which can change the structure of these systems in significant …

We explore the metric structure of networks with higher-order interactions and introduce a
novel definition of distance for hypergraphs that extends the classic methods reported in the …

Network theory is often based on pairwise relationships between nodes, which is not
necessarily realistic for modeling complex systems. Importantly, it does not accurately …

Hypergraphs have become an accurate and natural expression of high-order coupling
relationships in complex systems. However, applying high-order information from networks …