C++ Program to Find the Connected Components of an UnDirected Graph
Weakly or Strongly Connected for a given a undirected graph can be found out using DFS. This is a C++ program of this problem.
Functions used
Begin
Function fillorder() = fill stack with all the vertices.
a) Mark the current node as visited and print it
b) Recur for all the vertices adjacent to this vertex
c) All vertices reachable from v are processed by now, push v to Stack
End
Begin
Function DFS() :
a) Mark the current node as visited and print it
b) Recur for all the vertices adjacent to this vertex
End
Example
#include <iostream>
#include <list>
#include <stack>
using namespace std;
class G {
int m;
list<int> *adj;
//declaration of functions
void fillOrder(int n, bool visited[], stack<int> &Stack);
void DFS(int n, bool visited[]);
public:
G(int N); //constructor
void addEd(int v, int w);
int print();
G getTranspose();
};
G::G(int m) {
this->m = m;
adj = new list<int> [m];
}
void G::DFS(int n, bool visited[]) {
visited[n] = true; // Mark the current node as visited and print it
cout << n << " ";
list<int>::iterator i;
//Recur for all the vertices adjacent to this vertex
for (i = adj[n].begin(); i != adj[n].end(); ++i)
if (!visited[*i])
DFS(*i, visited);
}
G G::getTranspose() {
G g(m);
for (int n = 0; n< m; n++) {
list<int>::iterator i;
for (i = adj[n].begin(); i != adj[n].end(); ++i) {
g.adj[*i].push_back(n);
}
}
return g;
}
void G::addEd(int v, int w) {
adj[v].push_back(w); //add w to v's list
}
void G::fillOrder(int v, bool visited[], stack<int> &Stack) {
visited[v] = true; //Mark the current node as visited and print it
list<int>::iterator i;
//Recur for all the vertices adjacent to this vertex
for (i = adj[v].begin(); i != adj[v].end(); ++i)
if (!visited[*i])
fillOrder(*i, visited, Stack);
Stack.push(v);
}
int G::print() { //print the solution
stack<int> Stack;
bool *visited = new bool[m];
for (int i = 0; i < m; i++)
visited[i] = false;
for (int i = 0; i < m; i++)
if (visited[i] == false)
fillOrder(i, visited, Stack);
G graph= getTranspose(); //Create a reversed graph
for (int i = 0; i < m; i++) //Mark all the vertices as not visited
visited[i] = false;
int count = 0;
//now process all vertices in order defined by Stack
while (Stack.empty() == false) {
int v = Stack.top();
Stack.pop(); //pop vertex from stack
if (visited[v] == false) {
graph.DFS(v, visited);
cout << endl;
}
count++;
}
return count;
}
int main() {
G g(5);
g.addEd(2, 1);
g.addEd(3, 2);
g.addEd(1, 0);
g.addEd(0, 3);
g.addEd(3, 1);
cout << "Following are strongly connected components
in given graph \n";
if (g.print() > 1) {
cout << "Graph is weakly connected.";
} else {
cout << "Graph is strongly connected.";
}
return 0;
}Output
Following are strongly connected components in given
graph
4
0 1 2 3
Graph is weakly connected.
Published on 30-Apr-2019 14:25:49
