In the last two decades, network science has blossomed and influenced various fields, such
as statistical physics, computer science, biology and sociology, from the perspective of the …

Statistical network modelling has focused on representing the graph as a discrete structure,
namely the adjacency matrix. When assuming exchangeability of this array—which can aid …

A fundamental property of complex networks is the tendency for edges to cluster. The extent
of the clustering is typically quantified by the clustering coefficient, which is the probability …

The interactions among human beings represent the backbone of our societies. How people
establish new connections and allocate their social interactions among them can reveal a lot …

Random recursive hypergraphs (RRHs) grow by adding, at each step, a vertex and an edge
formed by joining the new vertex to a randomly chosen existing edge. The model is …

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 …

Real-world networks are rarely static. Recently, there has been increasing interest in both
network growth and network densification, in which the number of edges scales …

Evolutionary game theory has attracted the attention of researchers studying game theory as
a model of conflict between two players. In this game model, the benefit of an individual …

We introduce a growing network model, the copying model, in which a new node attaches to
a randomly selected target node and, in addition, independently to each of the neighbors of …

This book belongs to the science of science. The idea of this book appeared in 2007–2010
when I attended the interdisciplinary seminar of Prof. Sorin Solomon in the Racah Institute of …