Theoretical Statistics and Mathematics Unit, ISI Delhi
This will be broadcast from Kolkata by Video conference.
The large-scale networks have, despite their diversity in backgrounds, surprisingly much in common. Many of these networks are small worlds, in the sense that one requires few links to hop between pairs of vertices. Also the variability of the number of connections between elements tends to be enormous, which is related to the scale-free phenomenon.
In this lecture for a broad audience, we describe a few real-world networks and some of their empirical properties. We also describe the effectiveness of abstract network modelling in terms of graphs and how real world networks can be modeled, as well as how these models help us to give sense to the empirical findings.
We assume no prior knowledge in graph theory, probability or otherwise.