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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 power of any kind of network approach lies in the ability to simplify a complex system so
that one can better understand its function as a whole. Sometimes it is beneficial, however …

A network is a collection of nodes and edges, where an edge connects two nodes. Many
social, natural and engineered systems can be represented as networks. Examples include …

Despite considerable progress in genome-and proteome-based high-throughput screening
methods and in rational drug design, the increase in approved drugs in the past decade did …

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 …

Complex networks have emerged as a simple yet powerful framework to represent and
analyze a wide range of complex systems. The problem of ranking the nodes and the edges …

Random walks on networks is the standard tool for modelling spreading processes in social
and biological systems. This first-order Markov approach is used in conventional community …

Recent research has highlighted limitations of studying complex systems with time-varying
topologies from the perspective of static, time-aggregated networks. Non-Markovian …

Empirical data on contacts between individuals in social contexts play an important role in
providing information for models describing human behavior and how epidemics spread in …