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# Program of Minimum Spaning Tree ( MST )

Posted By: Easy Tutor     Category: C++ Programming     Views: 18010

## Code for Program of Minimum Spaning Tree ( MST ) in C++ Programming

```#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;
};

node *adj[MAX_NODE]; //For storing Adjacency list of nodes.int totNodes; //No. of Nodes in Graph.constint UNSEEN=1,FRINGE=2,INTREE=3; //status of node.int status[MAX_NODE];//status arr for maintaing status.
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 insertint 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;
}
elseif(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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 Easy Tutor author of Program of Minimum Spaning Tree ( MST ) is from United States. Easy Tutor says Hello Friends,I am Free Lance Tutor, who helped student in completing their homework. I have 4 Years of hands on experience on helping student in completing their homework. I also guide them in doing their final year projects.I have share many programs on this website for everyone to use freely, if you need further assistance, than please contact me on easytutor.2ya [at the rate] gmail [dot] comI have special discount scheme for providing tutor services. I am providing tutor service to students from various contries, currently most of my students are from United States, India, Australia, Pakistan, Germany, UK and Canada. I am also here to expand my technical network to receive more opportunity in my career, make friends to help them in resolving their technical problem, learn and share my knowledge, If you like to be my friend, Please send me friend request.Thanks,Happy Programming :) View All Articles

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