**Tiziano De Matteis: Models for evolving graph**

During the last years, networks have been studied in order to understand, predict and optimize the behaviour of dynamic systems.  Various models of network evolution have been proposed, principally based on the observation of static graphs. Hovewer, network evolve over time with the addition/deletion of nodes and edges. Leskovec et. al studied the dynamics of various real network, analyzing their key properties. In various works they propose novel models for graph evolution that try to mimic such characteristic. In the seminar will be revised their empirical observation and will be introduced the Community Attachment and Forest Fire Model.