Video Lectures

The abstract chromatic number

Leonardo Nagami Coregliano

What edge density of a graph guarantees that that it will contain a particular subgraph? Or one of a given family ?F of subgraphs? The celebrated Erd?s--Stone--Simonovits Theorem characterizes the maximum edge density in ?F-free graphs, in terms of...

Physics of functional networks

Henrik Ronellenfitsch

We are surrounded by functional networks, from fluid transport in plants and animals to macroscopic elastic scaffoldings and microscopic crystals and materials, and engineered power grids. Often, such networks can be seen as optimized for their...