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adding some more graph algorithms #33

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68 changes: 68 additions & 0 deletions Library/Graph/PRIMS.CPP
Original file line number Diff line number Diff line change
@@ -0,0 +1,68 @@
#include<iostream>
#define I 32767
using namespace std;
int main()
{int cost[8][8]={{I,I,I,I,I,I,I,I},
{I,I,25,I,I,I,5,I},
{I,25,I,12,I,I,I,10},
{I,I,12,I,8,I,I,I},
{I,I,I,8,I,16,I,14},
{I,I,I,I,16,I,20,18},
{I,5,I,I,I,20,I,I},
{I,I,10,I,14,18,I,I}};
int near[8]={I,I,I,I,I,I,I,I};
int t[2][6];
int i,j,u,v,k,n=7,min=I;
for(i=1;i<=n;i++)
{
for(j=i;j<=n;j++)
{if(cost[i][j]<min)
{min=cost[i][j];
u=i;
v=j;
}
}
}
t[0][0]=u;
t[1][0]=v;
near[u]=0;
near[v]=0;
for(j=1;j<=n;j++)
{if(near[j]!=0)
{
if(cost[j][u]<cost[j][v])
{near[j]=u;
}
else
{near[j]=v;
}
}
}
for(i=1;i<n-1;i++)//this is for t array that means for nodes
{
min=I;
for(j=1;j<=n;j++)
{
if(near[j]!=0 && cost[j][near[j]]<min)
{min=cost[j][near[j]];
k=j;

}
}
t[0][i]=k;
t[1][i]=near[k];
near[k]=0;
for(j=1;j<=n;j++)
{
if(near[j]!=0 && cost[j][k]<cost[j][near[j]])
{
near[j]=k;
}
}
}
for(i=0;i<n-1;i++)
{
cout<<"("<<t[0][i]<<","<<t[1][i]<<")"<<endl;
}
return 0;
}
69 changes: 69 additions & 0 deletions Library/Graph/floydwarshall.cpp
Original file line number Diff line number Diff line change
@@ -0,0 +1,69 @@
#include<iostream>
using namespace std;
#define INF 1e7
void floydwarshall(int m[][100],int n)
{
int dist[n][n];

for(int i=0;i<n;i++)
{
for(int j=0;j<n;j++)
{
dist[i][j]=m[i][j];
}
}
for(int k=0;k<n;k++)
{
for(int i=0;i<n;i++)
{
for(int j=0;j<n;j++)
{
if(dist[i][k]+dist[k][j]<dist[i][j])
dist[i][j]=dist[i][k]+dist[k][j];
}
}
}
for(int i=0;i<n;i++)
{
for(int j=0;j<n;j++)
{
if(dist[i][j]==INF)
cout<<"INF"<<" ";
else
cout<<dist[i][j]<<" ";
}
cout<<endl;
}
}
int main()
{
int t;
cin>>t;
while(t--)
{
int n;
cin>>n;
int m[100][100];
for(int i=0;i<n;i++)
{
for(int j=0;j<n;j++)
{
cin>>m[i][j];
}
}
floydwarshall(m,n);

/*for(int i=0;i<n;i++)
{
for(int j=0;j<n;j++)
{
if(m[i][j]==INF)
cout<<"INF"<<" ";
else
cout<<m[i][j]<<" ";
}
cout<<endl;
}*/
}
return 0;
}