WRITE IN C++ :

The file UndirectedGraph.cpp contains a definition of an undirected graph. Use this file (graph) to create a program which will calculate the weight sum of all the edges in the minimum spanning tree, formed using the Kruskal algorithm. Print the minimum spanning tree. Since it is an undirected graph, the value of each edge has to be calculated only once (it doesn't have to be calculated in the both directions).

The file UndirectedGraph.cpp :

#include using namespace std; #include "GRAPH.h"

void main() { char vertex[] = {'S', 'R', 'G', 'B', 'O', 'T', 'V'}; int numVertices = sizeof(vertex)/sizeof(char); GRAPH g(vertex, numVertices);

g.setEdge('S', 'R', 10); g.setEdge('S', 'T', 120); g.setEdge('R', 'O', 60); g.setEdge('R', 'T', 90); g.setEdge('R', 'V', 120); g.setEdge('G', 'B', 30); g.setEdge('O', 'T', 20); g.setEdge('T', 'V', 30);

cout << " The graph g:" << endl; g.print(); cout << endl;

Note: calculate the sum of all the edges in both directions (i.e. from and to each vertex, where there is an edge), and then divide the resulting sum by two.

Example output:

The graph g:

S: R(10) T(120)

R: S(10) O(60) T(90) V(120)

G: B(30)

B: G(30)

O: R(60) T(20)

T: S(120) R(90) O(20) V(30)

V: R(120) T(30)

The minimum spanning tree according Kruskal algorithm is:

S: R(10)

R: S(10) O(60)

G: B(30)

B: G(30)

O: R(60) T(20)

T: O(20) V(30)

V: T(30)

The weight sum of all the edges in the minimum spanning tree is 150.

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