This C++ program, using recursion, displays the number of cross edges in a graph. A cross edge is one in which a node points to another node which has already been fully visited.
Here is the source code of the C++ program to display the cross edges as and when they are encountered. The C++ program is successfully compiled and run on DevCpp, a C++ compiler. The program output is also shown below.
/*
* C++ Program to Find all Cross Edges in a Graph
*/
#include<iostream>
#include<conio.h>
using namespace std;
struct node_info
{
int no;
int lv_time,st_time;
}*q = NULL, *r = NULL;
struct node
{
node_info *pt;
node *next;
}*top = NULL, *p = NULL, *np = NULL;
struct node1
{
node1 *link;
node_info *pt1;
}*head = NULL, *m = NULL, *n = NULL, *np1 = NULL;
int c = 0;
void push(node_info *ptr)
{
np = new node;
np->pt = ptr;
np->next = NULL;
if (top == NULL)
{
top = np;
}
else
{
np->next = top;
top = np;
}
}
node_info *pop()
{
if (top == NULL)
{
cout<<"underflow\n";
}
else
{
p = top;
top = top->next;
return(p->pt);
delete(p);
}
}
void store(node_info *ptr1)
{
np1 = new node1;
np1->pt1 = ptr1;
np1->link = NULL;
if (c == 0)
{
head = np1;
m = head;
m->link = NULL;
c++;
}
else
{
m = head;
np1->link = m;
head = np1;
}
}
int search(int j)
{
node1 *t = head;
while (t != NULL)
{
if ((t->pt1)->no == j)
{
break;
}
else
{
t = t->link;
continue;
}
}
return (t->pt1)->lv_time;
}
int present_in_stack(int j)
{
int flag = 0;
p = top;
while (p != NULL)
{
if ((p->pt)->no == j)
{
flag = 1;
return flag;
}
p = p->next;
}
return flag;
}
void topo(int *v,int am[][8],int i)
{
q = new node_info;
q->no = i;
q->st_time = c;
push(q);
v[i] = 1;
for (int j = 0; j < 8; j++)
{
if (am[i][j] == 0)
continue;
else if ((am[i][j] == 1 && v[j] == 1))
{
if (!present_in_stack(j) && q->st_time > search(j))
{
cout<<"Cross edge between "<<i<<" and "<<j<<endl;
}
continue;
}
else if(am[i][j] == 1 && v[j] == 0)
{
c++;
topo(v,am,j);
}
}
c++;
q = pop();
q->lv_time = c;
store(q);
return;
}
int main()
{
int v[8], am[8][8];
for (int i = 0; i < 8; i++)
v[i] = 0;
for (int i = 0; i < 8; i++)
{
cout<<"enter the values for adjacency matrix row:"<<i + 1<<endl;
for(int j = 0; j < 8; j++)
{
cin>>am[i][j];
}
}
topo(v,am,0);
getch();
}
Output enter the values for adjacency matrix row:1 0 1 0 0 1 0 0 1 enter the values for adjacency matrix row:2 0 0 1 0 0 0 0 0 enter the values for adjacency matrix row:3 0 0 0 1 0 0 00 0 enter the values for adjacency matrix row:4 0 1 0 0 0 0 0 0 enter the values for adjacency matrix row:5 0 0 0 0 0 1 0 0 enter the values for adjacency matrix row:6 0 0 1 0 0 0 1 1 enter the values for adjacency matrix row:7 0 0 0 0 0 0 0 0 enter the values for adjacency matrix row:8 0 0 0 0 0 0 0 0 Cross edge between 5 and 2
Sanfoundry Global Education & Learning Series – 1000 C++ Programs.
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