Depth First Traversal for a Graph

Depth First Traversal (DFT) is a graph traversal algorithm that explores a graph by visiting vertices (nodes) in a depth-first manner. In other words, it visits a vertex and then recursively visits all its adjacent vertices before backtracking.

To perform DFT, we start at a given vertex and mark it as visited. Then, we recursively visit all the unvisited adjacent vertices. We continue this process until all the vertices have been visited.

DFT can be implemented using either recursion or a stack. The recursive approach is easier to implement and understand, but it may not be suitable for large graphs due to the stack size limitation. The iterative approach using a stack is more efficient and can handle large graphs.

DFT is used for various applications, such as searching a graph for a specific vertex, finding a path between two vertices, detecting cycles in a graph, and determining the connectivity of a graph.