Highlights•Protein dynamics express in the variety of their folds and functions.•Fold and
function reshuffle by global changes triggered by local modification.•A single mutation can …

Topological properties of networks are widely applied to study the link-prediction problem
recently. Common Neighbors, for example, is a natural yet efficient framework. Many …

Networks with a core–periphery topology are found in many financial systems across
different jurisdictions. Though the theoretical and structural aspects of core–periphery …

We analyze assortative mixing patterns of biological networks which are typically directed.
We develop a theoretical background for analyzing mixing patterns in directed networks …

Background Divergence in gene regulation has emerged as a key mechanism underlying
species differentiation. Comparative analysis of co-expression networks across species can …

The relations, rather than the elements, constitute the structure of networks. We therefore
develop a systematic approach to the analysis of networks, modelled as graphs or …

The friendship paradox is the observation that friends of individuals tend to have more
friends or be more popular than the individuals themselves. In this work, we first study local …

Assortativity, ie the tendency of a vertex to bond with another based on their similarity, such
as degree, is an important network characteristic that is well-known to be relevant for the …

Despite the growing interest in characterizing the local geometry leading to the global
topology of networks, our understanding of the local structure of complex networks …

Random neighbor sampling, or RN, is a method for sampling vertices with a mean degree
greater than that of the graph. Instead of naïvely sampling a vertex from a graph and …