Complex Networks
Details zur Veranstaltung
| Level | Master |
| Unterrichtssprache | Englisch |
| Semester | Winter |
| ECTS (SWS) | 6 (4) |
| Dozentin | Dr. Mirko Schäfer |
| Vorlesung in HisInOne | Link |
Inhalt
This interdisciplinary course provides an introduction to the science of complex networks. Students will learn to represent and model complex systems—from social and financial networks to technological infrastructure like power grids—using the mathematical language of graph theory. The course explores a toolbox of measures to analyze network structures and studies theoretical models that address the link between simple design principles and emergent network properties. Through a variety of real-world applications, we will investigate how the dynamics of individual components and their networked interactions shape the collective behavior of the entire system.
Themen
- Fundamentals of network representation – the mathematical language of graph theory
- Network structure and connectivity
- Centrality measures
- Random and small-world network models
- Growth models and scale-free networks
- Cascading failures and network resilience
- Epidemic spreading processes on networks
- Flows in energy and economic systems
- Information dynamics in social networks
- Network aspects of electricity markets