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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...
Controlling complex networks: How much energy is needed?
Controlling complex networks energy needed Social and Information Networks
2012/4/20
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...
Collective Almost Synchronization in Complex Networks
Collective Almost Synchronization Complex Networks Chaotic Dynamics
2012/4/26
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...
Localization and Spreading of Diseases in Complex Networks
Localization Spreading Diseases Complex Networks
2012/2/24
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...
Backbone of complex networks of corporations: The flow of control
Backbone complex networks of corporations
2010/10/29
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 ...