What is DFS algorithm for graph traversal?

DFS algorithm is a graph traversal technique that explores as far as possible along each branch before backtracking.

DFS (Depth First Search) is a graph traversal algorithm that explores the graph as far as possible along each branch before backtracking. It starts at a given vertex and explores as far as possible along each branch before backtracking. The algorithm maintains a stack to keep track of the vertices that have been visited but not yet explored.

The DFS algorithm can be implemented using either recursion or iteration. In the recursive implementation, the algorithm visits a vertex and recursively visits all its adjacent vertices. In the iterative implementation, the algorithm uses a stack to keep track of the vertices to be visited.

DFS can be used to solve a variety of problems such as finding connected components, detecting cycles, and finding paths between two vertices. It is also used in many graph algorithms such as topological sorting, strongly connected components, and minimum spanning tree.

The time complexity of DFS is O(V+E), where V is the number of vertices and E is the number of edges in the graph. The space complexity of DFS is O(V), where V is the number of vertices in the graph.

In conclusion, DFS is a powerful graph traversal algorithm that can be used to solve a variety of problems. It is easy to implement and has a time complexity of O(V+E).