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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...
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
2012/2/20
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...