Concepts shape the interpretation of facts. One of the most popular concepts in systems
neuroscience is that of 'hierarchy'. However, this concept has been interpreted in many …

The relationship between network structure and dynamics is one of the most extensively
investigated problems in the theory of complex systems of recent years. Understanding this …

The neural network is a powerful computing framework that has been exploited by biological
evolution and by humans for solving diverse problems. Although the computational …

Modularity is a ubiquitous topological feature of structural brain networks at various scales.
Although a variety of potential mechanisms have been proposed, the fundamental principles …

We present a low-dimensional morphospace of fMRI brain networks, where axes are
defined in a data-driven manner based on the network motifs. The morphospace allows us …

We study the effect of adding to a directed chain of interconnected systems a directed
feedback from the last element in the chain to the first. The problem is closely related to the …

Growing graphs describe a multitude of developing processes from maturing brains to
expanding vocabularies to burgeoning public transit systems. Each of these growing …

In models of excitable dynamics on graphs, excitations can travel in both directions of an
undirected link. However, as a striking interplay of dynamics and network topology …

Simple models of excitable dynamics on graphs are an efficient framework for studying the
interplay between network topology and dynamics. This topic is of practical relevance to …

Concepts from graph theory have been used in the local and global analysis and
characterization of a cellular automaton (CA). In particular, De Bruijn graph, pair graph …