VTK/Examples/Cxx/Graphs/MinimumSpanningTree

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This example shows how to find the minimum spanning tree. The input graph is:

3 vertex fully connected graph.svg 

and the minimum spanning tree computed is Minimum spanning tree.svg.

You must have compiled VTK with VTK_USE_BOOST=ON to use this functionality. You must also link to vtkInfovis.

MinimumSpanningTree.cxx

#include <vtkSmartPointer.h>

#include <vtkBoostPrimMinimumSpanningTree.h>
#include <vtkDataSetAttributes.h>
#include <vtkDoubleArray.h>
#include <vtkMutableUndirectedGraph.h>
#include <vtkTree.h>

int main(int, char *[])
{
  vtkSmartPointer<vtkMutableUndirectedGraph> g = 
    vtkSmartPointer<vtkMutableUndirectedGraph>::New();
  
  // Create 3 vertices
  vtkIdType v1 = g->AddVertex();
  vtkIdType v2 = g->AddVertex();
  vtkIdType v3 = g->AddVertex();
  
  // Create a fully connected graph
  g->AddEdge(v1, v2);
  g->AddEdge(v2, v3);
  g->AddEdge(v1, v3);
  
  // Create the edge weight array
  vtkSmartPointer<vtkDoubleArray> weights = 
    vtkSmartPointer<vtkDoubleArray>::New();
  weights->SetNumberOfComponents(1);
  weights->SetName("Weights");
  
  // Set the edge weights
  weights->InsertNextValue(1.0);
  weights->InsertNextValue(1.0);
  weights->InsertNextValue(2.0);
  
  // Add the edge weight array to the graph
  g->GetEdgeData()->AddArray(weights);
  
  // Output original graph info
  std::cout << "Number of vertices: "
            << g->GetNumberOfVertices() << std::endl;
  std::cout << "Number of edges: "
            << g->GetNumberOfEdges() << std::endl;
  g->Dump();

  // Setup the minimum spanning tree filter
  vtkSmartPointer<vtkBoostPrimMinimumSpanningTree> minimumSpanningTreeFilter = 
    vtkSmartPointer<vtkBoostPrimMinimumSpanningTree>::New();
  minimumSpanningTreeFilter->SetOriginVertex(v1);
  minimumSpanningTreeFilter->SetInput(g);
  minimumSpanningTreeFilter->SetEdgeWeightArrayName("Weights");
  
  // Compute the minimum spanning tree
  minimumSpanningTreeFilter->Update();
  
  // Get the output tree
  vtkSmartPointer<vtkTree> minimumSpanningTree = vtkSmartPointer<vtkTree>::New();
  minimumSpanningTree->ShallowCopy(minimumSpanningTreeFilter->GetOutput());
  
  // Output information about the minimum spanning tree
  std::cout << "Number of vertices: "
            << minimumSpanningTree->GetNumberOfVertices() << std::endl;
  std::cout << "Number of edges: "
            << minimumSpanningTree->GetNumberOfEdges() << std::endl;
  minimumSpanningTree->Dump();

  return EXIT_SUCCESS;
}

Please try the new VTKExamples website.

CMakeLists.txt

cmake_minimum_required(VERSION 2.8)

PROJECT(MinimumSpanningTree)

find_package(VTK REQUIRED)
include(${VTK_USE_FILE})

add_executable(MinimumSpanningTree MACOSX_BUNDLE MinimumSpanningTree.cxx)

if(VTK_LIBRARIES)
  target_link_libraries(MinimumSpanningTree ${VTK_LIBRARIES})
else()
  target_link_libraries(MinimumSpanningTree vtkHybrid vtkWidgets)
endif()

Download and Build MinimumSpanningTree

Click here to download MinimumSpanningTree. and its CMakeLists.txt file.

Once the tarball MinimumSpanningTree.tar has been downloaded and extracted,

cd MinimumSpanningTree/build 
  • If VTK is installed:
cmake ..
  • If VTK is not installed but compiled on your system, you will need to specify the path to your VTK build:
cmake -DVTK_DIR:PATH=/home/me/vtk_build ..

Build the project:

make

and run it:

./MinimumSpanningTree

WINDOWS USERS PLEASE NOTE: Be sure to add the VTK bin directory to your path. This will resolve the VTK dll's at run time.