Lectures related to Approximation Algorithms

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Explores linear programming duality, covering constraints, variables, solutions, and the relationship between primal and dual LP.

Explores the composition of applications in mathematics and the importance of understanding their properties.

Explores the convergence of random walks on graphs and the properties of weighted adjacency matrices.

Explores Bourgain's theorem on sparsest cut in graphs, emphasizing semimetrics and cut optimization.

Covers the concept of matroids, focusing on matroid intersection and the properties of subsets of a ground set.