Networks have become a general concept to model the§structure of arbitrary relationships among entities.§The framework of a network introduces a fundamentally§new approach apart from `classical'§structures found in physics to model the topology of§a system. In the context of networks fundamentally§new topological effects can emerge and lead to a§class of topologies which are termed `complex§networks'. The concept of a network successfully§models the static topology of an empirical system, an§arbitrary model, and a physical system. Generally§networks serve as a host for some dynamics running on§it in order to fulfill a function. The question of§the reciprocal relationship among a dynamical process§on a network and its topology is the context of this§Thesis.