The Intrinsic Geometry of Scale - Free Networks

The node degrees of large real-world networks often follow a power-law distribution. Such scale-free networks can be social networks, internet topologies or many other networks. There is, however, no established and simple network model,which also has a high clustering of vertices as typically observed in real data. This talk will present several mathematical models of scale-free networks and introduce hyperbolic random graphs as a natural model that fulfils most properties of real world networks.