network flow problems

Network flow problems refer to a class of optimization problems that involve finding the optimal flow of resources through a network, such as water in pipes, electricity in power grids, or goods in a transportation network. The objective is to maximize or minimize the flow of a certain commodity subject to capacity constraints and other constraints present in the network. These problems are commonly modeled using graphs, with nodes representing sources, sinks, and intermediate points, and edges representing the connections or channels between them. Efficient algorithms, like the maximum flow algorithm, are used to determine the optimal flow solution.

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