find_flow_cost

// named parameter version
template <class Graph>
typename property_traits<typename property_map < Graph, edge_capacity_t >::type>::value_type
find_flow_cost(const Graph & g,
        const bgl_named_params<P, T, R> & params  = all defaults)

// non-named parameter version
template<class Graph, class Capacity, class ResidualCapacity, class Weight>
typename property_traits<typename property_map < Graph, edge_capacity_t >::type>::value_type
find_flow_cost(const Graph & g, Capacity capacity, ResidualCapacity residual_capacity, Weight weight)

The find_flow_cost() function calculates the minimum cost maximum flow value of a network and given flow. See Section Network Flow Algorithms for a description of maximum flow. The function calculates the cost from the flow values f(u,v) for (u,v) in E, which are passed in the form of the residual capacity r(u,v) = c(u,v) - f(u,v).

In order to compute the min cost max flow use : successive_shortest_path_nonnegative_weights() or cycle_canceling().

Where Defined

boost/graph/successive_shortest_path_nonnegative_weights.hpp

Parameters

A directed graph. The graph's type must be a model of VertexListGraph and IncidenceGraph For each edge (u,v) in the graph, the reverse edge (v,u) must also be in the graph.

Named Parameters

The edge capacity property map. The type must be a model of a constant Lvalue Property Map. The key type of the map must be the graph's edge descriptor type.
Default: get(edge_capacity, g)

This maps edges to their residual capacity. The type must be a model of a mutable Lvalue Property Map. The key type of the map must be the graph's edge descriptor type.
Default: get(edge_residual_capacity, g)

The weight or ``cost'' of each edge in the graph. The type WeightMap must be a model of Readable Property Map. The edge descriptor type of the graph needs to be usable as the key type for the weight map. The value type for this map must be the same as the value type of the distance map.
Default: get(edge_weight, g)

Complexity

Example

See Also