#include #include #include #include "WeightedGraph.h" #include "WeightedEdge.h" using namespace std; /** Print tree */ template void printTree(Tree &tree, vector vertices) { cout << "\nThe root is " << vertices[tree.getRoot()]; cout << "\nThe edges are: "; for (int i = 0; i < vertices.size(); i++) { if (tree.getParent(i) != -1) cout << " (" << vertices[tree.getParent(i)] << ", " << vertices[i] << ")"; } } int main() { // Vertices for graph in Figure 24.1 string vertices[] = {"Seattle", "San Francisco", "Los Angeles", "Denver", "Kansas City", "Chicago", "Boston", "New York", "Atlanta", "Miami", "Dallas", "Houston"}; // Edge array for graph in Figure 24.1 int edges[][3] = { {0, 1, 807}, {0, 3, 1331}, {0, 5, 2097}, {1, 0, 807}, {1, 2, 381}, {1, 3, 1267}, {2, 1, 381}, {2, 3, 1015}, {2, 4, 1663}, {2, 10, 1435}, {3, 0, 1331}, {3, 1, 1267}, {3, 2, 1015}, {3, 4, 599}, {3, 5, 1003}, {4, 2, 1663}, {4, 3, 599}, {4, 5, 533}, {4, 7, 1260}, {4, 8, 864}, {4, 10, 496}, {5, 0, 2097}, {5, 3, 1003}, {5, 4, 533}, {5, 6, 983}, {5, 7, 787}, {6, 5, 983}, {6, 7, 214}, {7, 4, 1260}, {7, 5, 787}, {7, 6, 214}, {7, 8, 888}, {8, 4, 864}, {8, 7, 888}, {8, 9, 661}, {8, 10, 781}, {8, 11, 810}, {9, 8, 661}, {9, 11, 1187}, {10, 2, 1435}, {10, 4, 496}, {10, 8, 781}, {10, 11, 239}, {11, 8, 810}, {11, 9, 1187}, {11, 10, 239} }; const int NUMBER_OF_EDGES = 46; // 46 edges in Figure 24.1 // Create a vector for vertices vector vectorOfVertices(12); copy(vertices, vertices + 12, vectorOfVertices.begin()); // Create a vector for edges vector edgeVector; for (int i = 0; i < NUMBER_OF_EDGES; i++) edgeVector.push_back(WeightedEdge(edges[i][0], edges[i][1], edges[i][2])); WeightedGraph graph1(vectorOfVertices, edgeVector); MST tree1 = graph1.getMinimumSpanningTree(); cout << "The spanning tree weight is " << tree1.getTotalWeight(); printTree(tree1, graph1.getVertices()); // Create a graph for Figure 24.3(a) int edges2[][3] = { {0, 1, 2}, {0, 3, 8}, {1, 0, 2}, {1, 2, 7}, {1, 3, 3}, {2, 1, 7}, {2, 3, 4}, {2, 4, 5}, {3, 0, 8}, {3, 1, 3}, {3, 2, 4}, {3, 4, 6}, {4, 2, 5}, {4, 3, 6} }; // 14 edges in Figure 24.3(a) const int NUMBER_OF_EDGES2 = 14; // 14 edges in Figure 24.3(a) vector edgeVector2; for (int i = 0; i < NUMBER_OF_EDGES2; i++) edgeVector2.push_back(WeightedEdge(edges2[i][0], edges2[i][1], edges2[i][2])); WeightedGraph graph2(5, edgeVector2); // 5 vertices in graph2 MST tree2 = graph2.getMinimumSpanningTree(); cout << "\nThe spanning tree weight is " << tree2.getTotalWeight(); printTree(tree2, graph2.getVertices()); return 0; }