The Marriage ProblemExplores the marriage problem, modeling the process as a controlled stochastic process with dynamic programming algorithms to find the optimal policy for accepting bachelors.
Max-flow Min-cut TheoremExplores the Max-flow Min-cut theorem, integral capacities, Ford-Fulkerson method, bipartite matching, and edge-disjoint paths.
Mean field computationExplores the computation of mean field and effective field in message passing algorithms.
Spin Model ExercisesCovers exercises on the spin model, independent set, matching, and increasing functions.
Max-flow and Disjoint SetsExplores the Ford-Fulkerson method, max-flow, applications of max-flow, and the disjoint-set data structure.