Our goal is to study the processes of self-organization and formation of structures in soft matter. Soft matter is a typical example of a complex system of many interacting particles and exhibits collective behavior that is not a simple consequence of the behavior of their individual components. In the absence of translational invariance, most structures formed in soft matter have a complex network topology. The project clarifies the conditions under which such network structures appear in materials of different nature and investigates the properties of soft matter due to the presence of networks. In particular, we focus both on the theoretical description and modeling of the processes of formation of multifunctional molecular systems and on the analysis of their thermodynamic and structural properties. This synergistic approach, combined with the consideration of physically and chemically different objects in which similar collective phenomena are observed, allows for the effective exchange of research methods and their results obtained in different parts of the project.