Lectures related to Networks: Structure and Properties

Explores real functions of two real variables, illustrating domains, images, and graphs.

Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.

Statistical Analysis of Network Data: Structures and Models

Explores statistical analysis of network data, covering graph structures, models, statistics, and sampling methods.

Properties of X/G

Explores the properties of the quotient space X/G when X is compact and sometimes separated.

Graphs and Networks: Basics and Applications

Introduces the basics of graphs and networks, covering definitions, paths, trees, flows, circulation, and spanning trees.

Epidemic Spreading Models

Covers classical models of epidemic spreading and dynamics on networks with examples.