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graph/examples/max_flow.cpp
Jeremy Siek a62f21608d almost done!
[SVN r8200]
2000-11-13 15:02:05 +00:00

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//=======================================================================
// Copyright 1997, 1998, 1999, 2000 University of Notre Dame.
// Authors: Jeremy G. Siek, Andrew Lumsdaine, Lie-Quan Lee
//
// This file is part of the Boost Graph Library
//
// You should have received a copy of the License Agreement for the
// Boost Graph Library along with the software; see the file LICENSE.
// If not, contact Office of Research, University of Notre Dame, Notre
// Dame, IN 46556.
//
// Permission to modify the code and to distribute modified code is
// granted, provided the text of this NOTICE is retained, a notice that
// the code was modified is included with the above COPYRIGHT NOTICE and
// with the COPYRIGHT NOTICE in the LICENSE file, and that the LICENSE
// file is distributed with the modified code.
//
// LICENSOR MAKES NO REPRESENTATIONS OR WARRANTIES, EXPRESS OR IMPLIED.
// By way of example, but not limitation, Licensor MAKES NO
// REPRESENTATIONS OR WARRANTIES OF MERCHANTABILITY OR FITNESS FOR ANY
// PARTICULAR PURPOSE OR THAT THE USE OF THE LICENSED SOFTWARE COMPONENTS
// OR DOCUMENTATION WILL NOT INFRINGE ANY PATENTS, COPYRIGHTS, TRADEMARKS
// OR OTHER RIGHTS.
//=======================================================================
#include <iostream>
#include <string>
#include <boost/graph/maximum_flow.hpp>
#include <boost/graph/adjacency_list.hpp>
int
main()
{
using namespace boost;
typedef adjacency_list_traits<vecS, vecS, directedS> Traits;
typedef adjacency_list<vecS, vecS, directedS,
property<vertex_name_t, std::string>,
property<edge_capacity_t, long,
property<edge_residual_capacity_t, long,
property<edge_reverse_t, Traits::edge_descriptor> > >
> Graph;
const int N = 6;
Graph g(N);
long flow;
put(vertex_name, g, 0, std::string("Vancouver"));
put(vertex_name, g, 1, std::string("Edmonton"));
put(vertex_name, g, 2, std::string("Calgary"));
put(vertex_name, g, 3, std::string("Saskatoon"));
put(vertex_name, g, 4, std::string("Regina"));
put(vertex_name, g, 5, std::string("Winnipeg"));
property_map<Graph, edge_capacity_t>::type
capacity = get(edge_capacity, g);
typedef std::pair<int,int> Edge;
Edge edges[] = { Edge(0, 1), Edge(0, 2),
Edge(1, 2), Edge(1, 3),
Edge(2, 4),
Edge(3, 2), Edge(3, 5),
Edge(4, 3), Edge(4, 5) };
for (int i = 0; i < sizeof(edges)/sizeof(Edge); ++i) {
// Add edges going both directions
add_edge(edges[i].first, edges[i].second, g);
graph_traits<Graph>::edge_descriptor e;
bool inserted;
tie(e, inserted) = add_edge(edges[i].second, edges[i].first, g);
capacity[e] = 0;
}
capacity[edge(0,1,g).first] = 16;
capacity[edge(1,3,g).first] = 12;
capacity[edge(1,2,g).first] = 10;
capacity[edge(2,1,g).first] = 4;
capacity[edge(0,2,g).first] = 13;
capacity[edge(3,2,g).first] = 9;
capacity[edge(2,4,g).first] = 14;
capacity[edge(4,3,g).first] = 7;
capacity[edge(3,5,g).first] = 20;
capacity[edge(4,5,g).first] = 4;
Traits::vertex_descriptor s = 0, t = 5;
maximum_flow(g, s, t, capacity, get(edge_residual_capacity, g),
get(vertex_index, g), flow);
std::cout << "flow: " << flow << std::endl;
return 0;
}