Ernesto Estrada (CSIC-UIB)

Postcards from Network Theory

I will show some postcards of the use of network theory for solving real-world problems. After a very brief introduction I will start by illustrating such postcards. The postcard 1 is about the study of protein-protein interaction (PPI) networks. The postcard 2 is about the use of networks to describe the 3-dimensional structure of biomacromolecules. In particular, I will develop the concept of network communicability and its relation to matrix functions. Postcard 3 is about the study of navigation routes on networks and its implication to traffic in cities. I will show how such diffusive processes on graphs can explain the routes followed by drivers at rush hour in several cities across the world. The final postcard is about the development of mathematical strategies to implement nonlocal interactions in networks.