C++ Programming Code Examples
C++ > Computer Graphics Code Examples
Program to Check if an Directed Graph is a Tree or Not Using DFS
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/* Program to Check if an Directed Graph is a Tree or Not Using DFS
This is a C++ Program to check whether an directed graph is tree or not. Graph is tree if it doesn't contain cycles. */
#include<iostream>
#include <list>
#include <limits.h>
using namespace std;
class Graph
{
int V; // No. of vertices
list<int> *adj; // Pointer to an array containing adjacency lists
bool isCyclicUtil(int v, bool visited[], bool *rs); // used by isCyclic()
public:
Graph(int V); // Constructor
void addEdge(int v, int w); // to add an edge to graph
bool isCyclic(); // returns true if there is a cycle in this graph
};
Graph::Graph(int V)
{
this->V = V;
adj = new list<int> [V];
}
void Graph::addEdge(int v, int w)
{
adj[v].push_back(w); // Add w to v's list.
}
bool Graph::isCyclicUtil(int v, bool visited[], bool *recStack)
{
if (visited[v] == false)
{
// Mark the current node as visited and part of recursion stack
visited[v] = true;
recStack[v] = true;
// Recur for all the vertices adjacent to this vertex
list<int>::iterator i;
for (i = adj[v].begin(); i != adj[v].end(); ++i)
{
if (!visited[*i] && isCyclicUtil(*i, visited, recStack))
return true;
else if (recStack[*i])
return true;
}
}
recStack[v] = false; // remove the vertex from recursion stack
return false;
}
// Returns true if the graph contains a cycle, else false.
bool Graph::isCyclic()
{
// Mark all the vertices as not visited and not part of recursion stack
bool *visited = new bool[V];
bool *recStack = new bool[V];
for (int i = 0; i < V; i++)
{
visited[i] = false;
recStack[i] = false;
}
// Call the recursive helper function to detect cycle in different DFS trees
for (int i = 0; i < V; i++)
if (isCyclicUtil(i, visited, recStack))
return true;
return false;
}
int main()
{
// Create a graph given in the above diagram
Graph g(4);
g.addEdge(0, 1);
g.addEdge(0, 2);
g.addEdge(1, 2);
g.addEdge(2, 0);
g.addEdge(2, 3);
g.addEdge(3, 3);
if (g.isCyclic())
cout << "Directed Graph isn't a tree";
else
cout << "Directed Graph is a tree";
return 0;
}
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