It is nearly 20 years since the concept of a small-world network was first quantitatively
defined, by a combination of high clustering and short path length; and about 10 years since …

Modeling of heterogeneous materials and media is a problem of fundamental importance to
a wide class of phenomena and systems, ranging from condensed matter physics, soft …

The network architecture of the human brain has become a feature of increasing interest to
the neuroscientific community, largely because of its potential to illuminate human cognition …

The higher-order interactions of complex systems, such as the brain, are captured by their
simplicial complex structure and have a significant effect on dynamics. However, the existing …

Granular materials consist of macroscopic grains, interacting via contact forces, and
unaffected by thermal fluctuations. They are one of a class systems that undergo jamming, ie …

We describe techniques for the robust detection of community structure in some classes of
time-dependent networks. Specifically, we consider the use of statistical null models for …

The arrangements of particles and forces in granular materials have a complex organization
on multiple spatial scales that range from local structures to mesoscale and system-wide …

Simplicial complexes constitute the underlying topology of interacting complex systems
including among the others brain and social interaction networks. They are generalized …

Brain networks are expected to be modular. However, existing techniques for estimating a
network's modules make it difficult to assess the influence of organizational principles such …

It is common in the study of networks to investigate intermediate-sized (or “meso-scale”)
features to try to gain an understanding of network structure and function. For example …