11.
Develop a Program in C for the following operations on Graph(G) of Cities
a. Create a Graph of N cities using Adjacency Matrix.
b. Print all the nodes reachable from a given starting node in a digraph using DFS/BFS
method
#include <stdio.h>
#include <stdlib.h>
int a[20][20],q[20],visited[20],reach[10],n,i,j,f=0,r=-1,count=0;
void bfs(int v)
{
for(i=1;i<=n;i++)
if(a[v][i] && !visited[i])
q[++r]=i;
if(f<=r)
{
visited[q[f]]=1;
bfs(q[f++]);
}
}
void dfs(int v)
{
int i; reach[v]=1;
for(i=1;i<=n;i++)
{
if(a[v][i] && !reach[i])
{
printf("\n %d->%d",v,i);
count++;
dfs(i);
}
}
}
void main()
{
int v, choice;
printf("\n Enter the number of vertices:");
scanf("%d",&n);
for(i=1;i<=n;i++)
{
q[i]=0;
visited[i]=0;
}
for(i=1;i<=n-1;i++)
reach[i]=0;
printf("\n Enter graph data in matrix form:\n");
for(i=1;i<=n;i++)
for(j=1;j<=n;j++)
scanf("%d",&a[i][j]);
printf("1.BFS\n 2.DFS\n 3.Exit\n");
scanf("%d",&choice);
switch(choice)
{
case 1:
printf("\n Enter the starting vertex:");
scanf("%d",&v);
bfs(v);
if((v<1)||(v>n))
{
printf("\n Bfs is not possible");
}
else
{
printf("\n The nodes which are reachable from %d:\n",v);
for(i=1;i<=n;i++)
if(visited[i])
printf("%d\t",i);
}
break;
case 2:
       dfs(1);
       if(count==n-1)
        printf("\n Graph is connected");
      else
        printf("\n Graph is not connected");
      break;
case 3: exit(0);
}
}