# Program of Minimum Spaning Tree ( MST )

```#include <iostream.h>
#include <conio.h>
#define MAX_NODE 50

struct node{
int vertex;
int weight;
node *next;
};

struct fringe_node{
int vertex;
fringe_node *next;
};

int totNodes; //No. of Nodes in Graph.
const int UNSEEN=1,FRINGE=2,INTREE=3; //status of node.
int status[MAX_NODE];//status arr for maintaing status.

void createGraph(){
node *newl,*last;
int neighbours;
cout<<\"\\n\\n---Graph Creation---\\n\\n\";
cout<<\"Enter total nodes in graph : \";
cin>>totNodes;
for(int i=1;i<=totNodes;i++){
last=NULL;
cout<<\"Total Neighbours of \"<<i<<\" : \";
cin>>neighbours;
for(int j=1;j<=neighbours;j++){
newl=new node;
cout<<\"Neighbour #\"<<j<<\" : \";
cin>>newl->vertex;
cout<<\"Weight    #\"<<j<<\" : \";
cin>>newl->weight;
newl->next=NULL;
else{
last->next = newl;
last = newl;
}
}
}
}

//Insert node in a fring_list at Begining.
void Insert_Beg(int item){
fringe_node *newl;
newl = new fringe_node;
newl->vertex = item;
newl->next = NULL;
newl->next = fringe_list;
fringe_list = newl;
}

//Delete element at pos position from fringe_list.
void del(int pos){
//to points to previous node from where
//to insert
int i;
fringe_node *tmp,*delnode;
for(i=1,tmp=fringe_list; i < (pos-1); tmp=tmp->next,i++);

delnode = tmp->next;
tmp->next = tmp->next->next;
delete(delnode);
}

void MST(){
int i,x,parent[MAX_NODE],edge_count,w,v;
int min_wt,y,fringe_wt[MAX_NODE],stuck;
node *ptr1;
fringe_node *ptr2;

fringe_list=NULL;
for(i=1;i<=totNodes;i++)
status[i]=UNSEEN;
x=1;
status[x]=INTREE;
edge_count=0;
stuck=0;
while( (edge_count <= (totNodes-1)) && (!stuck))
{
while(ptr1!=NULL){
y=ptr1->vertex;
w=ptr1->weight;
if((status[y]==FRINGE) && (w<fringe_wt[y]))
{
parent[y]=x;
fringe_wt[y]=w;
}
else if(status[y]==UNSEEN){
status[y]=FRINGE;
parent[y]=x;
fringe_wt[y]=w;
Insert_Beg(y);
}
ptr1=ptr1->next;
}
if(fringe_list==NULL)
stuck=1;
else{
x=fringe_list->vertex;
min_wt=fringe_wt[x];
ptr2=fringe_list->next;
while(ptr2!=NULL){
w=ptr2->vertex;
if(fringe_wt[w] < min_wt)
{
x=w;
min_wt=fringe_wt[w];
}
ptr2=ptr2->next;
}
del(x);
status[x]=INTREE;
edge_count++;
}
}
for(x=2;x<=totNodes;x++)
cout<<\"(\"<<x<<\",\"<<parent[x]<<\")\\n\";
}

void main(){
clrscr();
cout<<\"*****Minimum Spaning Tree (MST)*****\\n\";
createGraph();
cout<<\"\\n===Minimum Spaning Tree===\\n\";
MST();
getch();
}
```

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