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10.krushkal.cpp
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134 lines (129 loc) · 2.91 KB
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#include <iostream>
#include <string.h>
using namespace std;
class Graph
{
char vertices[10][10];
int cost[10][10], no;
public:
Graph();
void creat_graph();
void display();
int Position(char[]);
void kruskal_algo();
};
Graph::Graph()
{
no = 0;
for (int i = 0; i < 10; i++)
for (int j = 0; j < 10; j++)
{
cost[i][j] = 999;
}
}
void Graph::creat_graph()
{
char ans, Start[10], End[10];
int wt, i, j;
cout << "Enter the number of vertices: ";
cin >> no;
cout << "\nEnter the vertices: ";
for (i = 0; i < no; i++)
cin >> vertices[i];
do
{
cout << "\nEnter Start and End vertex of the edge: ";
cin >> Start >> End;
cout << "Enter weight: ";
cin >> wt;
i = Position(Start);
j = Position(End);
cost[i][j] = cost[j][i] = wt;
cout << "\nDo you want to add more edges (Y=YES/N=NO)? : ";
cin >> ans;
} while (ans == 'y' || ans == 'Y');
}
void Graph::display()
{
int i, j;
cout << "\n\nCost matrix: ";
for (i = 0; i < no; i++)
{
cout << "\n";
for (j = 0; j < no; j++)
cout << "\t" << cost[i][j];
}
}
int Graph::Position(char key[10])
{
int i;
for (i = 0; i < 10; i++)
if (strcmp(vertices[i], key) == 0)
return i;
return -1;
}
void Graph::kruskal_algo()
{
int i, j, v[10] = {0}, x, y, Total_cost = 0, min, gr = 1, flag = 0, temp, d;
while (flag == 0)
{
min = 999;
for (i = 0; i < no; i++)
{
for (j = 0; j < no; j++)
{
if (cost[i][j] < min)
{
min = cost[i][j];
x = i;
y = j;
}
}
}
if (v[x] == 0 && v[y] == 0)
{
v[x] = v[y] = gr;
gr++;
}
else if (v[x] != 0 && v[y] == 0)
v[y] = v[x];
else if (v[x] == 0 && v[y] != 0)
v[x] = v[y];
else
{
if (v[x] != v[y])
{
d = v[x];
for (i = 0; i < no; i++)
{
if (v[i] == d)
v[i] = v[y];
}
}
}
cost[x][y] = cost[y][x] = 999;
Total_cost = Total_cost + min;
cout << "\n\t" << vertices[x] << "\t\t" << vertices[y] << "\t\t" << min;
temp = v[0];
flag = 1;
for (i = 0; i < no; i++)
{
if (temp != v[i])
{
flag = 0;
break;
}
}
}
cout << "\nTotal cost of the tree= " << Total_cost;
}
int main()
{
Graph g;
g.creat_graph();
g.display();
cout << "\n\n\nMinimum Spanning tree using kruskal algo=>";
cout << "\nSource vertex\tDestination vertex\tWeight\n";
g.kruskal_algo();
return 0;
}