Structure and Dynamics of NetworksVom Fachbereich Physikder Technischen Universitat Darmstadt¨zur Erlangung des Grades einesDoktors der Naturwissenschaften(Dr. rer. nat.)genehmigte Dissertation vonDipl. Phys. Sebastian Webergeboren in BerlinDarmstadt 2008D17Referent: Prof. Dr. rer. nat. Markus PortoKorrefferent:Prof. Dr. rer. nat. Barbara DrosselDarmstadt, D17Tag der Einreichung: 14.10.2008Tag der Prufung: 15.12.2008¨AbstractNetworks have become a general concept to model the structure of arbitrary rela-tionships among entities. The framework of a network introduces a fundamentallynew approach apart from ‘classical’ structures found in physics to model the topol-ogy of a system. In the context of networks fundamentally new topological effectscan 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 empiricalsystem, an arbitrary model, and a physical system. Generally networks serve as ahost for some dynamics running on it in order to fulfill a function. The question ofthereciprocalrelationshipamongadynamicalprocessonanetworkanditstopologyis the context of this Thesis.This context is studied in both directions. The network topology constrains orenhances the dynamics running on it, while the reciprocal interaction is of the sameimportance. Networks are commonly the result of an evolutionary process, e.g.protein interaction networks from biology.