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Topological landscape is introduced for networks with functions defined on the nodes. By extending the notion of gradient flows to the net-work setting, critical nodes of different indices are defined...
Topological landscape is introduced for networks with functions defined on the nodes. By extending the notion of gradient flows to the net-work setting, critical nodes of different indices are defined...
The outstanding problem of controlling complex networks is relevant to many areas of science and engineering, and has the potential to generate technological breakthroughs as well. We address the phys...
This work introduces the phenomenon of Collective Almost Synchronization (CAS), which describes a universal way of how patterns can appear in complex networks even for small coupling strengths. The CA...
Identifying nucleation pathway is important for understanding the kinetics of first-order phase transitions in natural systems. In the present work, we study nucleation pathway of the Ising model in h...
Using the SIS model on unweighted and weighted networks, we consider the disease localization phenomenon. In contrast to the well-recognized point of view that diseases infect a finite fraction of ver...
We present a methodology to extract the backbone of complex networks based on the weight and direction of links, as well as on nontopological properties of nodes. We show how the methodology can be ...

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