Minimum-Cost Flow

Maximum flow problems involve finding a feasible flow through a flow network that is maximum. In this variant, each edge is given a cost coefficient, and we wish to minimize total cost while reaching a threshold flow.

Parameters

  • VV: number of vertices
  • EE: number of edges
  • UU: maximum edge capacity
  • dd: minimum required flow

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Filters

Computational Model

Randomization

Approximation

Algorithms Table

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Reductions Table

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Other relevant algorithms

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