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 …

Generating random networks efficiently and accurately is an important challenge for
practical applications, and an interesting question for theoretical study. This book presents …

Congruence theory has many applications in physical, social, biological and technological
systems. Congruence arithmetic has been a fundamental tool for data security and computer …

The concept of nestedness, in particular for ecological and economical networks, has been
introduced as a structural characteristic of real interacting systems. We suggest that the …

The degree-degree correlation is important in understanding the structural organization of a
network and dynamics upon a network. Such correlation is usually measured by the …

In scale-free networks, correlations between degrees could be induced by the forbidding of
multiple connections between hubs. In particular, for scale-free networks with 2< λ< 3, where …

We obtain graphicality conditions for general types of scale-free networks. The same
conditions obtained for uncorrelated networks are obtained in the general case. Then an …