Wednesday, August 8, 2012

1208.1431 (Steffen Karalus et al.)

Network evolution towards optimal dynamical performance    [PDF]

Steffen Karalus, Markus Porto
Understanding the mutual interdependence between the behavior of dynamical processes on networks and the underlying topologies promises new insight for a large class of empirical networks. We present a generic approach to investigate this relationship which is applicable to a wide class of dynamics, namely to evolve networks using a performance measure based on the whole spectrum of the dynamics' time evolution operator. As an example, we consider the graph Laplacian describing diffusion processes, and we evolve the network structure such that a given sub-diffusive behavior emerges.
View original: http://arxiv.org/abs/1208.1431

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