Visually Explained Algorithms The Depth First Search algorithm traverses the graph and explores each adjacent node before backtracking and moving to the next node. It utilizes the stack data structure. Remember, the stack uses the last-in-first-out (LIFO) approach. We push items onto the stack and pop items from the top of the stack. We’ll keep track of the stack and we’ll show the vertices in the order of which they were discovered. We’ll begin our traversal at vertex A. Vertex A has been discovered, so it’s added to the discovery list. Vertex A is also pushed onto the stack and