Network Flows Meets Simplex

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Covers the fundamentals of integer programming and network flows in directed graphs.

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

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

Discusses the Ford-Fulkerson method and strongly connected components in graph algorithms.

Covers the concept of maximum flow-minimum cut in directed graphs with capacity constraints.

Covers linear programming, weighted bipartite matching, and vertex cover problems in optimization.

Explores relations between events, disjunctive constraints, and modeling with binary variables in optimization problems.

Covers the fundamentals of connectivity in graph theory, including paths, cycles, and spanning trees.

Covers finding the shortest path in directed graphs efficiently using algorithmic approaches and discussing related NP-complete problems.

Covers flow networks, focusing on flows, cuts, and their applications in algorithms.