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DFS of Graph.cpp
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/*
DFS of Graph
============
Given a connected undirected graph. Perform a Depth First Traversal of the graph.
Note: Use recursive approach to find the DFS traversal of the graph starting from the 0th vertex from left to right according to the graph..
Example 1:
Input:
Output: 0 1 2 4 3
Explanation:
0 is connected to 1, 2, 4.
1 is connected to 0.
2 is connected to 0.
3 is connected to 0.
4 is connected to 0, 3.
so starting from 0, it will go to 1 then 2
then 4, and then from 4 to 3.
Thus dfs will be 0 1 2 4 3.
Example 2:
Input:
Output: 0 1 2 3
Explanation:
0 is connected to 1 , 3.
1 is connected to 2.
2 is connected to 1.
3 is connected to 0.
so starting from 0, it will go to 1 then 2
then back to 0 then 0 to 3
thus dfs will be 0 1 2 3.
Your task:
You don’t need to read input or print anything. Your task is to complete the function dfsOfGraph() which takes the integer V denoting the number of vertices and adjacency list as input parameters and returns a list containing the DFS traversal of the graph starting from the 0th vertex from left to right according to the graph.
Expected Time Complexity: O(V + E)
Expected Auxiliary Space: O(V)
Constraints:
1 ≤ V, E ≤ 104
*/
void dfs(int curr, vector<int> adj[], vector<int> &ans, vector<int> &visited)
{
ans.push_back(curr);
for (auto &n : adj[curr])
{
if (!visited[n])
{
visited[n] = 1;
dfs(n, adj, ans, visited);
}
}
}
//Function to return a list containing the DFS traversal of the graph.
vector<int> dfsOfGraph(int V, vector<int> adj[])
{
vector<int> ans;
vector<int> visited(V, 0);
for (int i = 0; i < V; ++i)
{
if (!visited[i])
{
visited[i] = 1;
dfs(i, adj, ans, visited);
}
}
return ans;
}