General description and relevant information |
This course covers the study of the main concepts and algorithms for the analysis of complex networks, the models that summarize their most relevant properties, and the dynamics which take place on top of them. First, we show the presence of complex networks in all kinds of fields (biology, ecology, social sciences, economy, linguistics, etc.) and we analyze their most recurrent and important properties, such as the power law degree distributions, the transitivity, the small world property and the assortativity. We will take special attention to the mesoscopic structure of complex networks, reviewing the main algorithms for the detection of their community structure. We will also study the main models of random complex networks, which allow the understanding of the appearance of their distinctive structural properties. Finally, we will describe some of the dynamics on complex networks, such as synchronization and epidemics spreading. |