4. Design and implement C/C++ Program to find shortest paths from a given vertex in a weighted connected graph to other vertices using Dijkstra’s algorithm.
PROGRAM:
#include<stdio.h>
#define INF 999
void dijkstra(int c[10][10],int n,int s,int d[10])
{
int v[10],min,u,i,j;
for(i=1; i<=n; i++)
{
d[i]=c[s][i];
v[i]=0;
}
v[s]=1;
for(i=1; i<=n; i++)
{
min=INF;
for(j=1; j<=n; j++)
if(v[j]==0 && d[j]<min)
{
min=d[j];
u=j;
}
v[u]=1;
for(j=1; j<=n; j++)
if(v[j]==0 && (d[u]+c[u][j])<d[j])
d[j]=d[u]+c[u][j];
}
}
int main()
{
int c[10][10],d[10],i,j,s,sum,n;
printf("\nEnter n value:");
scanf("%d",&n);
printf("\nEnter the graph data:\n");
for(i=1; i<=n; i++)
for(j=1; j<=n; j++)
scanf("%d",&c[i][j]);
printf("\nEnter the souce node:");
scanf("%d",&s);
dijkstra(c,n,s,d);
for(i=1; i<=n; i++)
printf("\nShortest distance from %d to %d is %d",s,i,d[i]);
return 0;
}
OUTPUT:
Enter n value:4
Enter the graph data:
444 767 987 12
999 87 56 45
1 0 999 678
444 678 235 0
Enter the souce node:1
Shortest distance from 1 to 1 is 444
Shortest distance from 1 to 2 is 247
Shortest distance from 1 to 3 is 247
Shortest distance from 1 to 4 is 12