Lectures related to Graph Sketching: Connected Components

Discusses approximation by smooth functions and the convergence of function sequences in normed vector spaces.

Covers polynomial identity testing using oracles and random point evaluation, with applications in graph theory and algorithmic aspects.

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

Explores landmarks, coordinates, vectors, coplanarity, Cartesian equations, and geometric rules in space.

Explores interlacing families, Ramanujan graphs, and their construction using signed adjacency matrices.

Explores Cheeger's inequality and its implications in graph theory.

Presents a short proof of a conjecture by Erdös, exploring related questions and detailed proof of the proposition.