Network evolution towards optimal dynamical performance
Institut für Theoretische Physik, Universität zu Köln - Zülpicher Str. 77, 50937 Köln, Germany, EU
Received: 27 April 2012
Accepted: 8 July 2012
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.
PACS: 89.75.Hc – Networks and genealogical trees / 05.40.Fb – Random walks and Levy flights / 02.60.Pn – Numerical optimization
© EPLA, 2012