Open Problems

Related lectures (30)

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Explores dynamic programming through Pascal's Triangle and Floyd's Algorithm.

Introduces graph theory, network flows, and flow conservation laws with practical examples and theorems.

Explores monotone complexity, XOR-SAT lower bounds, and their implications in computational theory.

Introduces the concept of shortest path, discussing weighted paths, Hamiltonian paths, and path optimization algorithms.

Introduces unweighted bipartite matching and its solution using linear programming and the simplex method.

Explores Cheeger's inequalities for random walks on graphs and their implications.

Explores coordination in networked control systems, graph theory, and consensus algorithms.

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

Explores non-parametric regression for networks, covering object data analysis, network graphs, extrinsic distances, and practical projections.

Covers embedding graphs into trees with a focus on minimizing distortion and Bartal Tree embeddings.