Random walks are ubiquitous in the sciences, and they are interesting from both theoretical
and practical perspectives. They are one of the most fundamental types of stochastic …

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 …

A social network as an essential communication platform facilitates the interactions of online
users. Based on the interactions, users can influence or be affected by the opinions of …

Traditionally, much of the study of networks has focused on structural features. Indeed,
mathematical subjects such as graph theory have a rich history of investigating network …

In a digital ecosystem where large amounts of data related to user actions are generated
every day, important concerns have emerged about the collection, management, and …

Hypergraphs and simplical complexes both capture the higher-order interactions of complex
systems, ranging from higher-order collaboration networks to brain networks. One open …

Community detection, the decomposition of a graph into essential building blocks, has been
a core research topic in network science over the past years. Since a precise notion of what …

Networks are a convenient way to represent complex systems of interacting entities. Many
networks contain “communities” of nodes that are more densely connected to each other …

We demonstrate an equivalence between two widely used methods of community detection
in networks, the method of modularity maximization and the method of maximum likelihood …

Microbiota are microorganismal communities colonizing human tissues exposed to the
external environment, including the urogenital tract. The bacterial composition of the vaginal …